subtracting decimals

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Numbers which contain a decimal point are known as decimals, decimals are a way to represent a fraction. Here we will understand the concept of subtracting decimals. Some steps for subtraction of decimal numbers are shown below:

Step 1: Take two decimal numbers.

Step 2: Now subtract the given decimal numbers.

Step 3: As we know that larger value can never be subtracted from smaller value. We can subtract smaller value from larger value.

Step 4: Suppose we have a condition where we need to subtract smaller value from larger value, here we will borrow 1 form previous digit and then we will subtract.

Step 5: After subtraction put the decimal point at its original position.

Now we will apply above steps in a example:

Suppose we have to subtract 82.425 from 30.894.

Step 1: First we will take two decimal numbers.

Step 2: Write the number in subtraction form:

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Subtract 5 from 4 we get 1, it can be written as:

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Now borrow form previous digit, number becomes 12. So if we subtract 12 from 9 we get 3.

  Same as




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Now put decimal point after three digits. If we subtract 2 from the 1 we get 1.

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Now subtract 8 from 3 we get 5. On putting last value we get:

         



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So our result is 51.531. This is the process of subtracting decimals.

Now we will talk about the Law of Conservation of Momentum.

It states that states that vector sum of moments of objects, in an isolated system, along any straight line remains conserved.

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multiplication table

In the previous post we have discussed about Positive and Negative Number and In today's session we are going to discuss about multiplication table. In mathematics, the concept of multiplication table plays an important role for solving various calculative terms in real world. If we want to define multiplication table in mathematics then it can be describe as a table that shows the multiplication of number in various algebraic systems. The concept of multiplication table first introduced by the great arithmetical mathematician Mr. John leslie in his book “the philosophy of arithmetic” in 1820. The basic concept behind the multiplication table is that to remove the process of adding a vast amount of values by overlapping the concept of multiplication. Through the multiplication table user can easily calculated complex values in a quick and easier manner.

Here in this section we are going to discuss about the multiplication table chart which demonstrates the multiplication table in the form of chart. It means to say that chart is a pictorial representation of a multiplication table in the form of rows and columns. The concept of multiplication table gets very useful when it shows in the form of chart. It is easy to represent multiplication table by taking (x + 1)2 rows and column in chart. Here value of x is equal to the value that is used for representing a table from 1 to x. It means if we take a value of x as 12 then chart contains (12 + 1 )2 = 169 rows in a chart. One more thing we need to remember one thing that first row should be empty. (know more about multiplication table, here)

We can easily access this chart by follow the given rules:

I ) First pick any value from top side

II) Then pick another value from left side.

III) After that start from left number to right side up to the top number line.

IV) Then we can see that there is right value we obtained.

Representative Elements is a elementary table that represent organized elements with their properties. Students who are appearing in national talent search examination then ntse sample papers help them to perform well.

Positive and Negative Number

Numbers are of different types that are real numbers which is a superset of all types of numbers. it consists of different types of numbers that are natural numbers, whole numbers, rational numbers, positive and negative numbers. Here, we will spark our knowledge on positive and negative numbers. Positive number is defined as the numbers which are positive in nature and plus sign is considered for them represented as ‘+’. And negative numbers are defined as the numbers which are negative in nature and recognized by minus sign represented as ‘-‘.

Different mathematical operations can be easily performed over positive and negative numbers. These mathematical operations are addition, subtraction, multiplication and division. When a positive number is added with a positive number it provides a positive output but when a negative number is added with a positive number it performs subtraction and the result may be positive and negative.

Similarly when a positive number is subtracted from a negative number then subtraction is performed and result may be positive and negative but when a negative number is subtracted from a negative number then addition is performed and the result is obtained as negative. Multiplication of two positive and two negative numbers are positive and if opposite symbols are multiplied then the result obtained is negative. Relative standard deviation is defined as the absolute value of coefficient of variation. It can also be expressed in the terms of percentage.

For comparing the data of any two persons or any two events we used to calculate average of the data, standard deviation, and relative standard deviation. Then, the data is compared with average of each data. Cbse is defined as the Central Board Of Secondary Education. Cbse syllabus is considered all over India. It conducts examinations all over India and includes thousands of schools and In the next session we will discuss about multiplication table. 

How to Cross Multiply

Mathematics is a subject through which we can solve the real world problems by using several various mathematical concepts. Arithmetical mathematics can be considered as a part of mathematics which is a collection of various elementary concepts to solve problems. In fundamental mathematics, we usually start with number system. Fractional numbers are the part of number system which represents two integer values in the form of denominator and numerator. Suppose we have two numbers ‘n’ and ‘d’ then they can be represented in fraction form as n / d.

When we want to perform arithmetic operations between two or more fractional numbers like multiplication, comparison, finding greater fraction and so on then we required to use another concept to solve the problem, which is popularly known as cross multiplication. In this situation a question arises in our mind that How To Cross Multiply between fractional numbers.

Cross multiply is a mathematical trick or skill which is used to minimize the calculative part of performing multiplication between fractional numbers. The basic reason behind using this concept is that it generates the result in a quick and easier manner. When we want to perform various operations between fractional numbers we need to remember some points that are given below:

I ) In this phase we need to perform multiplication between numerator of first fraction to the denominator of other fraction and right down the answer one side.

II) After first phase multiply the denominator of first fraction to the numerator of second fraction and right down the result on other side. (know more about Cross Multiply, here)

Through the use of cross multiply we can easily minimize the fraction into their lowest term then we easily perform multiplication between them.

In chemistry, the nucleus of any atom is made by two things which named as Protons and Neutrons. The cbse syllabus and cbse sample paper for class x helps the students to make their board preparation very well.

density property of real numbers

In the previous post we have discussed about Decimal Place value and In today's session we are going to discuss about  density property of real numbers. As we all are very well aware from the concept of number system. Number system is a collection of all kinds of numbers that are part of mathematics. From those numbers, real number is one of them that deal with irrational numbers, fractional numbers and integers values. Here we are going to discuss about the density property of real numbers. Before understanding the concept of density property of real number we need to understand why we use it.

So answer is that properties with real numbers play an important role for solving various kinds of mathematical problems. Like in algebra real numbers property helps in solving algebraic equations in a understandable and easier manner.

Density property of real numbers are kind of property that tell us that there are infinite numbers are exists between two real numbers. In the simple mean we can say that density property of real numbers is a kind of property which shows that between any two real numbers there is some other numbers exists.

According to the standard definition we can say that density property can finds the infinite numbers that are lies between any two real numbers. Suppose there are two real numbers given that is 2 and 3. Now by using the concept of density property of real number we can say that there are infinite numbers are lies between them. Like 2.1, 2.2, 2.3, 2.4 and so on. (know more about density property of real numbers, here)

The concept of density property of real number also varies with the fractional numbers. It means to say that if we have two fractional value then there are infinite numbers also exists between the fractional value.

The concept of Van Der Waals Forces is used in physical chemistry which calculates the sum of attractive or repulsive force between the molecules. Students who are appearing in board exam then icse sample papers helps them for their exam preparation.

Decimal Place value

Decimal can be define as a mathematical fundamental concept that deals with the numbers of numerals system. Decimal can be defined as a point which is placed between the two or more digit value. Students who want to understand the concept of decimal, they first required to understand the concept of Decimal Place value. In mathematics, decimal position can be defined as a place of any number set through which the value of any number can be determined by their corresponding position. The number value which contains a decimal value within it then value of each number is very important.

In the normal form, each value of any number has their specific position or place value. Suppose we have a number 1234. Here the number 1234 has a specific number place value. The value 4 can be consider as unit value, value 3 can be consider in the position of tens, in the same aspect 1 and 2 can be consider as a place value of thousand and hundred position. (know more about Decimal Place value, here)

But when we put a decimal point between the digits of any number that has more then two digit into their value then place value of digits gets change into two categories. It means to say that right side digit of number has different place value and left side has different place value. Suppose we have number 123.456. Here we can see that there is a decimal point between the number values and both sides have different place value. Here left side of decimal value remains as like normal number value but right side has different place value.

After decimal first digit can be consider as a tenths place value means 4 tenths. In the same aspect the value 5 and 6 after decimal point can be consider as a fifth hundredths and sixth thousandths. Surface Area of Cone can be calculated by using the following formula that are given below:

Surface Area of Cone = pi * r * s + pi * r * r

icse board stands for Indian Certificate of Secondary education that conducts national level board examination for class 10th and 12th. In the next session we will discuss about Comparing Fractions. 

Comparing Fractions

In mathematics, fraction can be defined as a ration representation of two whole numbers. Fraction is a part of number system that helps the students for resolving various kinds of mathematical problem. Fraction is most important mathematical concept that performs the task of expressing any number into ‘n’ number of equal parts. Suppose there is pizza which is required to be distributed between three friends. At that time the concept of fraction resolve the problem by distributing the pizza equally through which each friend get one- third part of pizza to eat.

In the concept of fraction, we perform the representation of two whole numbers in role of dividend and divisor. Like 2 / 3 and 4 / 5. Here the value 2 and 4 can be consider as dividend known as numerator for fraction and 3 and 5 can be consider as divisor known as denominator for fraction number. (know more about Comparing Fractions, here)

Here we are going to discuss about one of the fractional concepts which is popularly known as comparing fraction. As a name specified as comparing fraction is task of performing a comparison between the two fractional values.

It means to say that Comparing Fractions is to calculate which number is greater and which is lower. The comparing fraction can be performed by using some symbol like <, > and =. To perform the comparing fraction successfully between fractional values can be done by following some step that is given below:

Step a) First we need to calculate LCD.

Step b) When we perform the step A then we need to calculate the product of LCD value with top and bottom value of fraction number for equalizing the denominator value of both fractional number.

Step c) In the last step perform the comparison of numerator value and put the respective sign between them.

Surface Area of a Prism in rectangular form can be calculated by using following formula

2 * length * width + 2 ( length + width ) height

For board examination icse guess papers 2013 guide the students to make their exam preparation better. In the next session we will discuss about Decimal Place value. 

Rational and Irrational Numbers

In the previous post we have discussed about How to tackle Irrational Number
and In today's session we are going to discuss about Rational and Irrational Numbers, Our number line consists of various types of numbers which play different types of roles in different areas. These numbers are real numbers, natural numbers, complex, whole, prime, rational and irrational numbers.
But here we are going to discuss about only rational and irrational numbers.
Rational and irrational numbers are totally opposite of each other. Because rational numbers are those which can be expressed in terms of a fraction or quotient like a/b, where a and b are integers and b is not equals to zero. On the other side irrational numbers cannot be represented in the form of a simple fraction like a/b.
In rational numbers, the decimal expansion of the number either terminates after some finite sequence of digits or repeats same finite sequence of digits over and again.
Whereas, in irrational numbers, the decimal expansion of the number continues forever without even repeating same finite sequence of digits again and again.
Rational numbers are dense in nature, by saying that we mean that in between any two integers on the real number line; there exists many rational numbers in between them.
Examples of rational numbers are: 1.333333….., 2.5, 4/5, etc.
And examples of irrational numbers are: e (Euler’s number), π (pi),   √2 (square root of 2), φ (golden ratio), etc.
If we look towards the Cantor’s proof: it says that on the real number line almost all the numbers are irrational in nature, because as we know that our number line is a mixture of rational and irrational numbers, but real numbers are uncountable or infinite and rational numbers can be counted, so finally we can say that the remaining irrational numbers cannot be counted or are uncountable. Hence, the Cantor’s proof is verified.
In order to get help in the topics: rational and irrational numbers, how to find the area of a parallelogram and cbse previous years question papers, you can visit various Online Portals.

How to tackle Irrational Number

In the previous post we have discussed about Is 0 a Natural Number and In today's session we are going to discuss about Irrational Number, We have various types of numbers on our number line in mathematics, like, real numbers, whole numbers, rational, irrational number, complex, natural, integers, etc. But now, our most priority is irrational number which is nothing but a number which cannot be written in the form of a/b or fraction or a quotient, where a and b are integers and b is not equal to zero.

The decimal expansion of an irrational number neither ends or terminates itself nor it repeats some same sequence of digits over and again.

Since irrational number cannot be represented in the form of a simple fraction, so we can say that it is not a rational number, which is just the opposite of rational number as it can be expressed in the form of a quotient or a fraction like a/b.

Irrational numbers consists of numbers like e (Euler’s number), π (pi), √2 (square root of 2), φ (golden ratio), etc.

Whereas irrational numbers cannot be represented like 5/2, 2.14, 1/10, which rational numbers can.

According to the Cantor’s proof: as we that our number line on the coordinate plane is full of real numbers, which means they are uncountable and since we can count rational numbers, so we can finally conclude that almost all the real numbers are irrational in nature and not rational. But on the other side we have to say that rational numbers are dense in nature, which means that between any two integers there are many rational numbers but still they can be counted.

There are many facts which irrational numbers give, like when we calculate the ratio of lengths of two line segments and if it comes out to be an irrational number, then those line segments are known as incommensurable, which means that they have no common measures to share.   

In order to get help in the topics: irrational number, what is the pythagorean theorem you can prefer cbse books for class 9 availble online for free.

Is 0 a Natural Number

In the previous post we have discussed about List of Prime Numbers and In today's session we are going to discuss about Is 0 a Natural Number. Before discussing about the question: is 0 a natural number, let us first discuss about natural numbers. A natural number can be simply defined as a number which occurs very commonly and obviously in nature.
We can easily get the answer of the question: is 0 a natural number, by this definition, the natural number is a number in whole or non-negative number. We denote the set of natural numbers by N and it can be defined in either of the two ways: Positive numbers or non-negative numbers.

N = 0, 1, 2, 3, 4 ...

N = (1, 2, 3, 4, 5,….

So, the answer of the question: is 0 a natural number, is that there is no universal agreement on including zero in the set of natural numbers: many of us define the term natural number as positive integers only and for others natural numbers are the non-negative numbers. (know more about Natural numbers, here
Another explanation to the question: is 0 a natural number, goes like, the set of natural numbers, no matter it includes zero or not, is a denumerable set which means no matter how many elements  are there in a set, every element is denoted by the list which leads to the identity of the element itself in the set.
Now we are going to give an example in the question: is 0 a natural number, the example is no matter which of two lists of natural numbers we select ( 1, 2, 3, 4, ... or the list 0, 1, 2, 3, ...), the numbers 356,834,252 will always be a natural number, but 356,834,252.5, 3/4, and -32 can never be natural numbers.
So finally, the answer to the question: is 0 a natural number, is , that it is not certain that 0 is not a natural number, some people do consider it as a natural number.a
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List of Prime Numbers

In the previous post we have discussed about How to Solve Fraction Problems and In today's session we are going to discuss about List of Prime Numbers. The definition of a prime number is that it is the number which is not divisible by any number except 2 numbers which are 1 and the number itself. List of prime numbers starts with the number 2 and then keeps going on because the list of prime numbers is infinite. Generation of the subsets of the list of prime numbers can be carried out by the different formulae of the primes. The list of prime numbers in which first 100 prime numbers are given is as follows. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397,401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523 and 541.  
List of prime numbers by type of some important primes is as follows. Prime numbers in which the addition of their digits also gives a prime number are called the additive primes. Some of its examples are 2, 3, 5, 7, 11, 23, 29, 41, 43, 47, 61, 67, 83, 89, 101, 113, 131, etc. The prime numbers to which if we add 2 also give a prime or a semi prime are called chen prime numbers. Some of its examples are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59, etc. The prime numbers of the 2n form are called the even prime numbers. There is only one even prime number that exists which is 2.
In order to get help in topics: List of Prime Numbers, slope intercept form calculator and CBSE book, you can visit various Online portals.

How to Solve Fraction Problems

In the previous post we have discussed about how to compare fractions and In today's session we are going to discuss about How to Solve Fraction Problems. If we talk about the fraction numbers, we say that the numbers which can be expressed in the form of  a/ b , where a and b are whole numbers and b <> 0. Here we say that a is the numerator and b is the denominator. Thus to learn about how to do fractions, we must look into the different mathematical operators and the logical operators of the fraction numbers.
By the logical operators we mean comparing of two fraction numbers. If two fraction numbers are to be compared, we first check the numbers are proper fraction or not. Every time a proper fraction is less than the improper fraction number. As proper fraction number is always less than 1 and the improper fraction number is greater than 1.
If both the fractions are proper or improper, then we will check if the denominators of the two fraction numbers are same or not. In case the two denominators are same, it means that the smaller numerator represents the smaller fraction. In other situation we will look if the numerators of the two fraction numbers are same or not. If the numerators are same, then the smaller numerator represents the larger number.
 In another situation we find the fraction number where neither the numerator is same nor the denominator is same. In such cases we will convert the two fractions into their equivalent form such that the denominator of both the fraction numbers becomes same and it is done by first finding the LCM of the two denominators and then converting the fraction into their equivalent fraction numbers such that their denominator becomes equal to the LCM of the two denominators.
We can visit online math tutor which can help us to learn about what are prime numbers. In Gujarat state education board prime numbers are in the syllabus of grade 4 mathematics.

how to compare fractions

In mathematics, fraction is defined as the number of parts chosen to the total number of parts. Fraction is in the form of P/Q. Where P and Q are the two whole numbers. P is known as numerator and Q is known as denominator of the fraction. It means that the upper part of the fraction is known as numerator and the lower part is known as denominator. Fraction is written as:
                                                       1/3
Where 1 is P i.e. numerator or upper part and 3 is Q i.e. denominator or lower part of the fraction.
Comparison of fraction is an important topic in mathematics because sometimes it is required to compare the fraction. There are three ways to compare the fraction:
1. by decimal method.
2.  by same denominator method.
3. by different denominator method.

·         Decimal method is done by the use of calculator. Just convert the fraction into decimal then you can easily compare the smaller and bigger fraction. Just as (1 ÷4) = 0.25 and (2 ÷5) = 0.4. Therefore 0.4 is the bigger one so, 2/5 is greater than ¼.

·         In same denominator method, you have to just compare the numerator part i.e. the upper part of the fraction and write the result.

·         In different denominator method we have to do the cross multiplication. In this method first we have to multiply the numerator of the first fraction to the denominator of the second fraction and then multiply the denominator of first fraction to the numerator of the second fraction. At last compare the cross multiplication values and write the result i.e. bigger one.

For example:
Compare the fraction 3/5 and 5/6?
Solution:
Step1: first we have to multiply the numerator of the first fraction to the denominator of the second fraction i.e. 3 x 6 = 18
Step2: then multiply the denominator of first fraction to the numerator of the second fraction i.e. 5 x 5 = 25
Step3: compare the cross product values i.e. 18 and 25, here 25 is greater than 18 so 5/6 is greater than 3/5.
At last how to compare fractions and T Distribution Table are also described in west Bengal board of primary education.

Subtracting Mixed Numbers

In Previous section we have discussed about lowest common denominator
and In today's session we are going to discuss about Subtracting Mixed Numbers, All the mathematical operators can be performed on the mixed fraction numbers by converting them in the form of improper fraction numbers.  In order to learn Subtracting Mixed Numbers, we will learn about the conversion of the mixed fraction into improper fraction.  We need to check that the fractions are like fractions or not. Now in case the two improper fractions are like fractions, then we say that the difference between the numerators will be take and the same denominator will be placed as the denominator of the answer. Now in case the two improper fractions are unlike, whose difference is to be calculated, then we say that we will first convert the two improper fraction numbers into the like fractions. For this we will find the LCM of the two denominators and we will make the denominator of the two fraction numbers equal to the LCM of the two numbers.
Thus in this way we will get the denominator of the two fractions same and thus we can now find the difference of the two fraction numbers. Finally when we get the fraction between the two fraction numbers, we will check that the fraction so received will be a proper fraction or improper fraction. If in case we find it as a proper fraction, then we will convert it to its standard form. In case we get the result in form of the improper fraction, we will convert it in the form of the mixed fraction. SO  we will first recognize the  question and then we proceed for  the solution of the  difference of the  two  mixed fraction numbers. Algebra worksheets will help you to get confidence before entering into examination hall. To know about the Syllabus For Class 8th Cbse, we visit online portal and get  the  support  to know the syllabus of  all the subjects.

lowest common denominator

Ever heard of the word denominator? Let us recall that denominator is associated with fractions. A fraction, as we have already learnt has two parts, a numerator & a denominator. A fraction is expressed as Numerator / Denominator.
Also, we will refer to another term LCM here, which is the least common multiple. LCM can be found when we have at least two numbers whose multiples are listed.
Then, what is lowest common denominator? To understand the concept of lowest common denominator, let us recall that fractions may be like or unlike fractions. The fractions are like when they have the same denominator & on the other hand, they are unlike if they have different denominators.
Also, to use the mathematical operations of addition & subtraction on fractions, we need to have like fractions. What when the fractions to be added or subtracted are unlike? In such situations, we first find the LCM of the denominators of the unlike fractions. Such LCM of the denominators is called lowest common denominator.
The lowest common denominator infractions is useful in making the fractions like , by converting the given unlike fractions to fractions with same denominator , which is done by changing the unlike fractions to equivalent fractions , all with lowest common denominator as the denominator .
For example: To add the fractions 2/7 , 3/5 , 5/10 ; we first need to make their denominators same . This can be done by finding the LCM of the denominators of all these fractions, viz., 7, 5 ,10 which comes to 70 . Thus, 70 is the lowest common denominator of the given fractions & the equivalent fractions will be given by:
                                                   2/7= (2*10)/(7*10) = 20/70
                                                   3/5= (3*14)/(5*14) = 42/70
                                                   5/10= (5*7)/(10*7) = 35/70
So, now we have the fractions with same lowest common denominator.
Go online for more help on 4th grade math & also for cbse class 8 syllabus and In the next session we will discuss about Subtracting Mixed Numbers.

math help online

Math tutor online is always available to solve the problems related to math. We learn the about integers by math help online.  Integers are the numbers which contains positive, negative numbers and a number zero.  Integer numbers are countless and if we draw the integers on the number line, we observe that the integers extend in both the directions representing all positive and negative integers such that the number zero lies in the middle of positive and the negative numbers. All the positive numbers lies on the right of zero and the negative numbers of the number line lies on the left of the zero.  Thus we also conclude that every integer number has a successor and the predecessor. To get the successor of any of the integer number, we will add 1 to the given number, whose successor we need to find. In the same way we are able to find the predecessor of any number by simply subtracting 1 from the given number. If we need to add any number to the given integer, then we move to the right side of the number line by the number of steps mentioned. Suppose if we have the question:
Add 3 to -7, it means we move  towards  right starting from -7, for 3 steps and thus we get :  -6, -5, -4 and thus -4 is the solution to the given problem.
In the same way if we need to subtract any number from the given number, we will move towards the left on the number line by the given number of steps. Eg :
 Subtract 2 from -5, so we move 2 steps to left starting from -5 and the result we get is -7.

 We can visit online to any of the Math Help Online service provider to learn about   Average Value of a Function. We can see the Board of Intermediate Education Andhra Pradesh Syllabus to gain more knowledge about what to study and what will going to come in examinations.
In upcoming posts we will discuss about online math tutor help and Fractions in Grade V.

online math tutor help

Let us recall that algebra is the branch of mathematics which deals we come across two quantities, viz. , constants & variables .  Whereas a constant is a fixed value; a variable take different numerical values. These constants & variables are related to each other with the help of different mathematical operations of add, subtract, multiply & divide.  Such a relation of constants & variables is called an algebraic expression. The constants & variables ,  when combined with the operation of multiplication or division form the terms of the algebraic expression & such terms are , in turn , separated from each other by addition (+) or subtraction (-) . Example : 2x-3y+xy -8 is an algebraic expression whose terms are 2x , -3y , xy and -8 .
Depending on the number of such terms in an expression, the algebraic expression may be categorized into the following groups:
Monomials: “Mono” means one. So an expression with just one term is called a monomial . e.g. , 3y , 2xy , 7 , 5z are monomials .
Binomials: “Bi” means two. So an expression with two terms is called a binomial . e.g. , 3y - 2xy , 7 + 5xz are binomials .
Trinomials: “Tri” means three. So an expression with three terms is called a trinomial . e.g. ,12x+ 3y -6 , 2xy + 7 - 25z are trinomials .
Polynomials: “Poly” means more than one . So an expression with more than one term or in other words, with two or more terms is called a polynomial . Binomials & trinomials are a part of polynomials.

We could also take online math tutor help and find Tamilnadu Board Psychology Syllabus at various online portals. In upcoming posts we will discuss about math help online and Operations on Fractions in Grade V.

Possible outcomes

When we talk about the possible outcomes it is the part of the probability (also read on Binomial Probability Distribution) that means how many ways for an event of occurrence. It is defined in the term as if there is an experiment or collection of experiment then there will be many possibilities for occurrence of different types of outcomes that are defined through the probability .This can be explained through the examples as :
Example (1) : If we toss a coin then there will be maximum two possibilities of occurrence of events that are head and tail .
Example (2) : If talk about rolling a dice then there will be possible six outcomes that are occur.
Example (3) : If We draw a card from a deck of cards as well as draw three cards form deck of cards .
Example (4) : If a bag having the different colored marble balls then there are various possible outcomes of drawing a marble .
So these above are some examples of events (also read on combined events probability) that have some different kind of outcomes at different time.
We can elaborate these examples as if talk about rolling a dice then there will be six possible outcomes that are 1 , 2 , 3 , 4 , 5 and 6 and as we define that a coin have two faces so there will be maximum two outcomes when toss it .
As well as In a regular deck of cards there will be 52 cards then if choose a card from the deck of card then there will be 52 possible outcomes and each time they choose card will be different.
If we talk about the example of rolling a dice of two colors as red and green then there will be 36 possible outcomes for that experiment.


In upcoming posts we will discuss about online math tutor help and Addition and Subtraction in Grade V. Visit our website for information on question papers Tamilnadu

Mean

In statistics we define the term mean . Now What is a Mean? It is the part of the mathematics in which we define the central value for the given set of data values .Mean is a concept that define the one value that represent the whole set in terms of single value .Sometimes it is also called as the average for the given set of data .When we talk about the average of the values is also known as the arithmetic mean that is define as the sum of the all values in the given data set that is divided by the number of values in the data set .
If there is five values in the given data set that are n1 , n2 , n3 , n4 and n5 then the average or arithmetic mean is defined as the formula
Mean = sum of all values / number of values = (n1 + n2 + n3 + n4 + n5 ) / 5 .
If we talk about the types of mean then there are three types of mean in the statistics that are named as:
(I) : arithmetic mean
(II) : geometric mean
(III) : harmonic mean
As we discuss above normally arithmetic mean is define as the average value or standard average.
When there is talk about the geometric mean then it is calculated by multiplying all the terms .This types of mean are used for calculation of growth rates.
Geometric mean g = ( ∏ⁿ _i=0 g _i ) ^{1 / n} .
When some relation is define between the units of set of numbers then there will be use harmonic mean.
When we talk about the use of the mean it is mainly helps in probability that is also known as the mean in probability. for more information on mean visit here

In upcoming posts we will discuss about Possible outcomes and Decimals Percents, and Fractions in Grade V. Visit our website for information on accounts syllabus for WB 11th class

Possible combinations

Probability (also read about Permutation and Combination) is a concept of mathematics which works based on the logical ability. It means that probability is a concept which is used to estimate the outcome of several numbers of procedures. Suppose there is a work which is done by any person again and again, then the question is how to we calculate the outcome of the work. At that time we use the concept of probability. In the mathematical definition we can say that if an event can occur in n ways and a particular result can occur in m ways, then the probability of the particular result occurring is m / n. Play probability of compound events worksheet
Suppose there is a boy, who tossing a coin then there is a two possible outcome. These possible outcomes are Head and tails. In the same aspect we can say that there is a die which is thrown by somebody then there is a six possible outcome which is one, two, three, four, five and six.
Suppose in the case there is a boy who throws the two dies together at a time. Then the possible outcome will be thirty six. It means that there are thirty six possible outcomes form throwing the two dies together. The collections of all estimation of these possible outcomes are known as possible combination. Possible combinations are the collection of total number of possible outcome which defines that what will be the outcome form the event. It means that an event generate the outcome form the available list of possible outcome. Now we show you the some of the example that helps in understanding the concept of possible combinations:
Example: Suppose in the game of playing card, a card is picked up from the pack of card. Now we need to find what will be the possible combination of the outcomes for the red card by applying possible combinations formula?
Solution: As we know that there are only thirteen red cards are available in the pack of playing cards from one to king. Then the possible combination of picking a red card is only thirteen cards. So we can say that the possible combination for a particular game event is thirteen. In the next session we are going to discuss Grade IV, Bar or line graphs.

In upcoming posts we will discuss about Mean and Multiplication and Division in Grade V. Visit our website for information on Andhra Pradesh geography question paper

median

Hello students, in this blog we are going to read the How to Find Median. Median is the very important concept that comes under in statistics and probability. In the statistics it comes under the measure of the central tendency. Median divides the number series into two equal parts. In any number list the middle number from the number list is the median. For example we have number series 1, 2, 3, 4, 5, 6, 7 so the median will be 4. To calculate the median (read here for more) the following steps should be consider in mind, that are: -
-List of numbers should be finite.
-The numbers should be arranged in ascending order.
-If the given number list is odd then the median will be the number that is coming in the middle.
-If the given number list is even then the median will be calculated by taking two middle number's average.
Let’s take some example to understand the median more.
Example 1: - Find the Median for 14, 11, 18, 20, 28 and 29.
Solution: - Given the set of numbers are: 14, 11, 18, 20, 28, 29
Arrange the numbers in an ascending order 11, 14, 18, 20, 28 and 29
The given set has an even number of value.
So the median will be the average of two middle numbers.
The average of two number is (18 + 20)2 = 38 / 2 = 19.
So the median is 19.
Example 2: - Find the Median for 11, 34, 14, 18 and 29.
Solution: -The given set of numbers: 11, 34, 14, 18, 29
Arrange the numbers in the ascending order 11, 14, 18, 29, 34
The given set has an odd number of values.
So the middle number will be the median.
The center number is 18
So the median is 18


In upcoming posts we will discuss about Possible combinations and Compare and Simplify Fractions in Grade V. Visit our website for information on CBSE class 12 chemistry previous years question papers

Collect and represent data

Before doing an experiment or for making some decision that are based on some previous data there will be of collect and represent the data .This is the only way through which one can easily, efficiently makes the effective plan or strategies that are totally base on the previously stored data .Before storing the data it should be keep in mind that how data is collected and also from where data is collected. Try data analysis worksheets here
Data should be collected correctly as well as from the true resource that have the timeliness that means when data is needed by someone it can be easily retrieved by them and after collection of the data it should be organized according to some keys .
After all the collection and organization of the data there will be next very important concept of representing the data. It is the only concept through which the user can understand the previously recorded data and makes some decision on that .Collect and represent data in probability are also helpful that means there data are used to making the future strategies as well as helps in comparison of the data among several years for the same period of time .
There are several Data Collection Methods and various type of data representation like image processing, Global positioning system .The main motive behind display the data is to understand the available data and deriving the meaning and also extract the useful in conclusion .The representation of data can be done in many ways like:
Statistical tables
or by rank order
or by frequency order .
These forms are useful in statistical analysis of the data .Initially all the data collect in scattered form but later it organize and change into the numerical facts .
   
In upcoming posts we will discuss about median and Factors and Exponents in Grade V. Visit our website for information on CBSE previous year question papers class 12

Properties of odd/even numbers

Hello students, in this help on math problems session we are going to discuss about the properties of odd numbers and properties of even numbers. But before starting it we will know first about the even numbers and then odd numbers (also read on odd integrand). Even numbers are the numbers that are completely divisible by 2 like: - 4 / 2 = 0, 2 / 2 = 0 etc. and odd numbers are the numbers that are not divisible by the 2 like: - 5 / 2 = 2.5, 3 / 2 = 1.5 etc. Read here for more on even and odd numbers.
Below are the properties of even numbers and odd numbers with the examples:
Addition Properties:
odd number + odd number = even number 3 + 3 = 6,
odd number + even number = odd number 3 + 4 = 7,
even number + even number = even number 4 + 4 = 8,
Subtraction Properties:
odd number - odd number = even number 5 – 5 = 0,
odd number - even number = odd number 5 – 4 = 1,
even number - even number = even number 6 – 6 = 0,
Multiplication Properties:
odd number * odd number = odd number 7 * 7 = 49,
odd number * even number = even number 7 * 4 = 28,
even number * even number = even number 6 * 6 = 36,
Division Properties:
odd number / odd number = odd number 9 / 9 = 0,
even number / odd number = odd number 8 / 3 = 2.66,
even number / even number = even number 8 / 8 = 0,
I hope above information will give valuable information to the readers.


In upcoming posts we will discuss about Collect and represent data and Number Line in Grade V. Visit our website for information on CBSE class 12 home science question bank

Multiplication/division as inverse operations

Hi Friends, today in free answers to math problems session we will focus on Multiplication/division as inverse operations. When we talk about the inverse operation it means the operations that are reverse from the another operation .There are several examples of operations that are inverse with each other as addition and subtraction are the inverse operation as well as integration and differentiation are the inverse operation. Here in this series one of pair of inverse operations are Multiplication and division, for division, multiplication as inverse operations works and for multiplication, division as inverse operations. Also play inverse function worksheets to increase your knowledge.
We take some examples for understanding the multiplication as inverse operations that are as follows:
Example: If there is an expression as 36 / 6 =? Then find the inverse operations of the given expression?
Solution: 36 / 6 = 6,
According to the inverse operation 6 * 6 = 36.
Example: Find the inverse operation of the 150 / 15 =?
Solution: As we know the answer of the given expression is 150 / 15 = 10,
Inverse operation of the given expression is 15 * 10 = 150.
We also define the inverse operation for multiplication that means division as the inverse operation .It will also be explained through the some examples:
Example: If 4 * 5 = 20 then find the inverse operation for given expression?
Solution: As the given expression 4 * 5 =20 then its inverse operation will be division that is denoted as the expression 20 / 4 = 5 and 20 / 5 = 4.
Example: If a given expression is 5 * 7 = 35 then what is the inverse operation for it?
Solution: Inverse operation for the given example is defined by the division operation as
35 / 5 = 7 and 35 / 7 = 5.


In upcoming posts we will discuss about Properties of odd/even numbers and LCM,GCF ,ratios for the students of Grade V. Visit our website for information on CBSE home science syllabus

Probability and Statistics

In this unit we will learn about Probability in Statistics.  The study of probability was introduced for the study of games and cards.
It includes the study which requires the possibility of certainty and chance. How to Solve Probability Problems ? We say that probability is the concept of study of numerical measures of possibility of any event to occur.  So we say that uncertainty is the measure of not occurrence of the event and the certainty is the possibility of occurrence of the event numerically. More details on this subject.
When we need to find the probability of occurrence of any event, we need to look carefully at the experiment.  We say that an experiment is the operation which can produce well defined outcomes of the collection of the events.  In each trial of an experiment, we observe if it is conducted under same and under ideal conditions, then we observe that the outcomes are not the unique solutions, then  if we pick any one of the random event and take its observation  , then we call it the random experiment conducted to measure the possibility of the occurrence of the  event. We come across so many events in our day to day life, which help us to measure the probability of the event. Example: rolling a dice, tossing a coin, pulling out a card out of the pack of 52 cards. We call all of them as the set of random experiments. They help us to find the numerical value of the probability of the random experiment. You can also play probability worksheets grade 3.
 We must also know the term sample space used in the study of probability. We say that a sample space is the set of all possible outcomes in the random experiment which is represented by the variable “S”


In upcoming posts we will discuss about Multiplication/division as inverse operations and Math Blog on Grade V. Visit our website for information on CBSE previous years 11 physics

Estimation in multiplication/division

Hi Friends, In today's free math solver session we will talk about Estimation in multiplication/division. In mathematics, estimation is an important tool to solve the problems (which are related to our daily routine life) in a very quick and easier manner. Estimation plays an important role of handy tool to solve the problem. The concepts of estimation are most widely used in calculating the distance, lengths of time, money and many other physical quantities. In the concept of estimation in mathematics, we generally studied about the concept of rounding off. The concept of rounding off can be considered as a type of estimation. Rounding off is a technique which is used to express a number as a rounded number instead of any exact number. In mathematics, we generally perform the operation of rounding off with the decimal numbers or whole numbers.
Here we show you the process of rounding off with a number:
(a)     First of all look at the place value of the digit form the right hand side of number.
(b)     If the digit is less than 5 then there is no need to perform round off. If in case digit is greater than 5 then add one to the rounding digit and change all the digit to the right to the right of the rounding digit to zero.
we generally perform the concept of rounding off with the mathematical operations like multiplication and division. In the below we show you some of the example that helps in understanding the concept of Estimation in multiplication and Estimation in division.
Example A: estimate the product of given value by rounding to the tens?
                         346 * 17
Solution: In the above we can see that there are two whole values given. So first we perform the rounding off on the numbers:
                 346 becomes 350 and 17 becomes 20
Now there product will be:
                    350 * 20 = 7000
Example b: estimate the division of given value by rounding to the tens?
                      517 / 23
Solution: In the above we can see that there are two whole values given. So first we perform the rounding off on the numbers:
                 517 becomes 520 and 23 becomes 20
Now there product will be:
                    520 * 20 = 1040


In upcoming posts we will discuss about Probability and Statistics and Probability in Grade V. Visit our website for information on CBSE political science board paper

mode

What is Mode? Mode in statistics is used to define or find the value among the set of the data that is occurs most frequently. Mode is used to find the value for a distribution or a raw or unimplemented data set (play data analysis worksheets) that have the maximum frequency. For defining the mode of a give data set is explained in the term which has the maximum number of occurrences in the data set thus the mode of a given data set is the value around which the values of the variable are clustered densely.
For computing the mode of a series of individual operation, we first convert it into the discrete series frequency distribution by preparing the frequency table. From the frequency table we can identify the value having the maximum frequency. The value of the variable so obtained is the mode or the modal value.
We can take some example of understand the mode for following data find mode:
120 , 110 , 130 , 110 , 120 , 140 , 120 , 130 , 140, 120 .
The solution of these data is defined as:
Value (v): 110 120 130 140
Frequency (f) 2 4 2 2.
In this example we observe the value 120 has the maximum frequency then mode (get more details here) or modal value is 120.
There is one other example that defines it as a given set of numbers has mode 25 then the value find as follows:
15, 20, 25, 18, 14, 15, 25, 15, 18, 16, 20, 25, 20, x, 18:
Values (v): 14 15 16 18 20 25 x,
Frequency (f): 1 3 1 3 3 3 1
Then the mode for a given set of data is 25 so it have the maximum frequency this is possible when x = 25. So the value of x = 25.


In upcoming posts we will discuss about Estimation in multiplication/division and Learn Number System. Visit our website for information on business studies class 12 CBSE syllabus

Rounding numbers

When a number is given and the number is rounded (or rounded off), then we approximate a value by eliminating the least significant digits or we can say that you are finding the closest number which is multiple of ten.
Example: - Let there are two number 52 and 385. Round off the given numbers?
Solution: - The number 52 can be rounded down into 50. (This number can be rounded to tens place),
and the number 385 can be rounded up to 400. This number can be rounded to the hundred places.
In case of whole number, whole number can be rounded to the tens place, hundreds place, thousand place and continue so on. If a number is rounded to the tens place than the final form has a zero number for the ones digit and if the number is rounded to the hundreds place than the last two values tens and ones digit is zero.
We have to apply the same procedure for the decimal number. Decimal number (also read how to divide decimals) can also be rounded; this is approximately the number which is nearest to the tenth, hundred and thousand or other given decimal place and if the decimal number is rounded to the tenth place, then the final number has no digit in the hundredths place and when a decimal number is rounded to the hundredths place then the final number has no digit in the thousandths place. Rounding makes the number very easy. Rounded numbers are only approximate number. Rounding number never give exact answer. Rounding the number gives the closest answer but it does not have exact answer.
Now we will see process of Rounding numbers:
Example: - Let there are two number 99 and 21. Change the number into rounding number?
Solution: - The number 99 can be rounded up in to 100. (This number can be rounded to hundred Place),
 The number 21 can be rounded down into 20. (This number can be rounded to tens place),

In upcoming posts we will discuss about mode and How to solve mathematical Expressions. Visit our website for information on CBSE 11 physics book

Associative property of multiplication

Associative property of multiplication (more detail here) is define that without changing the multiplication appends can be group in any way. According to the Associative property, which comes when doing algebra equation solver, if p * (q * r) then it can be group as
( p * q) * r and there is no change in result .It can describe through an example as follows :
6 * (4 * 5) = (6 * 4) * 5 that is equal to 120 in either form. Associative property of multiplication can take three or more variables or values in expression regardless how they are grouped. You can also play associative property worksheets to improve skills. In the expression there is no change in the answer if parenthesis shows the terms that are considered as single unit .Parenthesis shows the grouping of the values means how the numbers are associated together. Associative property of the multiplication is the most basic property of the computations and it should be remember that grouping in the parenthesis are solve first .This property is the basic number property that is describe the rearrangement of the values .There are some examples of Associative property of multiplication as follows :
Suppose one person go to the super market and purchase milk of 10 dollars and buys the 3 packets of it and sometime after buys 2 packets more and two day after buys 3 packets more, how much money one's give to the cashier? The above situation is associative as
Solution: So he buys the packets as 10 * (3 + 2 + 3) = (3 + 2 + 3) * 10
Both the terms are equal means the answer 80 for each of the expression.
So according to the associative property of multiplication expression can be grouped as any how there is no effect on the answer.


In upcoming posts we will discuss about Rounding numbers and Math Blog on Grade V. Visit our website for information on CBSE 10th science syllabus

Multiplication facts and tables

Hello students, in mathematics there are lots of operations which we have to perform so that we can reach on some results. The operations are addition, subtraction, division and multiplication (how to do 3 digit multiplication). Simply the facts mean something  actually happened and the in multiplication facts we find missing term and final results when we already have all terms. For example : -
2 * 10 = ?
Solution will be 20. In this we can get result by adding 2 at ten times and by adding 10 at two times. Both are same.
5 * ? = 20
Missing term will be 4.
Multiplication table for the initial 5 numbers are : -

1 times 1 = 1, 2 times 1 = 2, 3 times 1 = 3, 4 times 1 = 4, 5 times 1 = 5, 6 times 1 = 6
2 times 1 = 2, 2 times 2 = 4, 3 times 2 = 6, 4 times 2 = 8, 5 times 2 = 10, 6 times 2 = 12
3 times 1 = 3, 3 times 2 = 6, 3 times 3 = 9, 4 times 3 = 12, 5 times 3 = 15, 6 times 3 = 18
4 times 1 = 4, 4 times 2 = 8, 3 times 4 = 12, 4 times 4 = 16, 5 times 4 = 20, 6 times 4 = 24
5 times 1 = 5, 5 times 2 = 10, 3 times 5 = 15, 4 times 5 = 20, 5 times 5 = 25, 6 times 5 = 30

Like the above method we can obtained next terms and we can also get more multiplication tables for the other numbers. I hope the information about the multiplication facts and tables will make sense to 4th grade math students


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Equivalent fractions

This unit is for grade IV. In this unit we are going to define equivalent fractions. By Equivalent fractions we mean that the two fractions are equal if when we convert them to the lowest terms, results in  the same fraction. Let us take some example. If we want to check if 3/12 and 6/24 are equivalent fractions or not, then we first convert each of them in their lowest form, by dividing the numerator and the denominator by the same number,(  which is their GCF ). Now we check if the two resultant fractions are same, the given fractions (how to do fractions) are equivalent.
So we first find the GCF of (3 and 12 ), which is 3. Now in 3/12, we divide both numerator and the denominator by 3 and get
(3÷3) /( 12÷3)
= ¼
Now we take the fraction 6/24 and find the GCF of (6 and 24 ), which is 6. Now in 6/24, we divide both numerator and the denominator by 6 and get
(4÷4) /( 24÷6)
= ¼
Thus in both the cases, the result is ¼. Thus the two fractions are equivalent.
Now let us learn  How to find the equivalent fractions for the given fraction?
Let the given fraction is 3/5, we first multiply both the numerator and the denominator by  any number say 2, we get
= (3 * 2) / ( 5 * 2)
=6/10
In the same way  we go on multiplying the numerator and the denominator by the same number, we  will get the series of the equivalent fractions for the given fraction number. We proceed as follows :
= (3 * 3) / ( 5 * 3)
= 9/15
Or = (3 * 4) / ( 5 * 4)
= 12/20
So 6/10, 12/20,  . . . .  are all equivalent  fractions of  3/5

In upcoming posts we will discuss about Multiplication facts and tables and How to tackle Decimals and Percentage problems? Visit our website for information on syllabus of economics for ICSE class 12

Factors and products

Hi friends, In this help with algebra session we will discuss about factors and products. Factors and products are the important part in mathematical calculation. Factors and Products specify the multiplication of two or more numbers. In the multiplication, factors are considered as those numbers that are multiplied and the obtained result is called as a product. In the general aspect, a product is the result for multiplying the numbers or expressions that are specified as factors. In the order of factor we take the number of number system like real numbers, whole numbers and complex numbers that are multiplied for obtaining the product. In the concept of factor and product, we can use different type of properties to solve the question and helps the student of Grade IV. You can also try factor algebra calculator
Here we show you the example:
13 * 3 = 39
In the above equation we can see that 13 and 3 are two numbers on which multiplication is being performed. The numbers 13 and 3 are specified as factor of expression and the obtained result 39 is considered as a product of the expression.
From the given multiplication expression we can make the two division expressions. Let’s show you below:
a) 39 / 3 = 13
b) 39 / 13 = 3
In the simple definition of factor and product, factoring is the process of taking a number apart. It mean to say that to expressing a number as the product of its factor. Factor can be described as either a composite number or a prime number but one thing to remember that 0 and 1 is not a composite number or not a prime number.
Suppose there is a number 16 which is multiple of 8 because it can be divided by 8 evenly. Let’s show you below:
8 * 2 =16
Here 8 and 2 are the factors and 16 can be considered as a product of given factor.


In upcoming posts we will discuss about Equivalent fractions and Whole Numbers and Place Value in Grade V. Visit our website for information on 12th biology syllabus Maharashtra board

Multiplication problems

This unit is designed for Grade IV and here in help in math session we are going to learn about Multiplication problems. We know that multiplication word means to add repeatedly and to increase in the fixed quantity. Here we are dealing with the problems of multiplication, we need to first learn that what all are the problems of multiplication, how to do double digit multiplication and  how to recognize such problems.
Some times we come across real life problems, in which we are given the cost of one article and we need to find the cost of more than one article. For instance if we say that the cost of 1 cod drink is $2, now if a child wants to buy 2 cold drinks, he needs $2 + $ 2 =$4 . Further if he requires three cold drinks, he will spend  $2 + $ 2 + $2 = $ 6. Thus what we observe is that every time the number of cold drinks is increasing , we are adding $2 to the previous total, or we can say that the cost of unit article is added the number of times the object is required. It can also be done more easily if there are n number of objects and the cost of 1 article is multiplied by n. for more on this subject visit this
This is easier and simple method of getting the solution for problems of multiplication.
Example: If 1 sack of rice cost 25$, then find the cost of 5 sacks of cement.
Sol: We know that the cost of 1 sack of cement = $ 25
So, to find the cost of 5 sacks of cement, we need to  multiply the cost of the unit  sack by the number of the sacks required.
So we get = $25 * 5 = 125 $
In this way all such real life problems can be solved using multiplication.

In upcoming posts we will discuss about Factors and products and Measurement in Grade V. Visit our website for information on 12th biology Maharashtra board syllabus

Positive numbers

Hello Grade IV students, in this help on math problems session we are going to discuss the positive numbers. Numbers help us to count something. And many types of numbers are used in our daily life, such as real, positive, negative, zero and many more. Without the help of numbers the mathematics is nothing. In mathematics we also use the positive numbers. Let’s define positive numbers; they are the numbers that are greater than the zero.
For example : - 1, 2, 3, 6, 7, 65 they all are the positive numbers. Sometimes we include decimal number in the positive numbers but they should be greater than zero. Like 2.6, 56.67.
Positive numbers are also known as the natural numbers. In the whole numbers we do not include the 0. The positive numbers are denoted by the positive ' + ' symbol. This symbol is used when we have to show that we have positive numbers like +2, +45, +4, +87, +23 , if we do not apply this + symbol before the number, then it does not mean that the number is negative. The numbers are by default positive (more details here), if they are not containing any type of symbol.
Positive numbers are the just opposite of the negative numbers (play negative numbers worksheet here). To understand the positive numbers, let’s take an example : - -6 -7 -8 -9 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
In above number row the numbers that are right to the zero are called the positive numbers. And those numbers that are left to the zero are called the negative numbers.
We can perform any operation on the positive numbers like addition, subtraction, multiplication and division.

In upcoming posts we will discuss about Multiplication problems and Polygons in Grade V. Visit our website for information on 12th physics syllabus Maharashtra board