Percents problems in mathematics

In today’s free math problem solver session we are going to discuss how to solve percent problems in mathematics. This is the very important part of mathematics. Most of the problems are based on the percentage. Here we will discuss about such problems related to Grade IV.
We generally face percents problems which are chiefly of three types: (for more detail read this)
1. Missing Percent Problems: In such problems the task is to find what percent one quantity is of the other quantity.
2. Missing Part Problem: In this kind of problems we need to find what quantity is given percent of other quantity.
3. Missing Whole Problem: In this kind of problems we find the full or whole quantity given what percent a certain quantity is, like the 100%.
In the above mentioned problems the 3rd problem is difficult.
If we need to find 15% of 150, we generally first convert the 15% to its compatible decimal form i.e. 0.15. Now 15% of 150 indicate us to multiply the 0.15 and 150, and then we will get 0.15*150 = 22.5. That means 22.5 is the 15th percent of the 150.
Now here is some examples related to the percents problems:
a. What percent of 20 is 25%?
We first have the original number 20 with the comparative number 25. Now we need to find the rate or the percentage. So let the percentage be x.
     25 = x * 20
     25/20 = x
     x = 1.25
Now the task is to convert this decimal back into the percentage: 1.25 = 125%
Now we can say that 25 is the 125% of 20.
b. What is 35% of 50?
X = 0.35 * 50 (here x stands for a number)
X = 17.5
Now the 17.5 is 35% of 50.
So today we learnt about the percents problem.

In upcoming posts we will discuss about Addition and subtraction and Powers and repeated multiplication in Grade V. Visit our website for information on CBSE political science board paper

Fractions

Math Fractions are the numbers expressed in form of p/q where p and q are the whole numbers such that q <> 0.  Fractions are the part of a whole. It is expressed in form of numerator/denominator. If we write 3/5, here 3 is the numerator and 5 is the denominator. It means that a complete object is equally divided into 5 equal parts and 3, which is in the numerator represents that we are taking only 3 parts out of total 5 parts
If the fractions are written such that the denominators are same are called like fractions .In grade IV we as free math tutor online, will learn about solving fraction with same denominator.
Among 2/4, 3/6, 1/6, 3/7, and 1/9 which of them are like fractions?
   3/6  and 1/6 have the  same denominator , so they are like fractions.
Similarly the fractions which do not have same denominators are called unlike fractions.
On comparing like fractions, we must remember that fractions with smaller numerator are smaller than the fraction with larger numerator .
E.g.: Compare 3/7 and 2/7
As the denominators are same so  we only check the numerators and see that 3/7 > 2/7
If the numerators are same, then the number with a larger denominator is smaller
E.g. Compare 4/7 and 4/9
We find that thee numerators are same, so
  4/7 <  4/9
Let’s learn to solve fractions:
   Now let’s learn how to add or subtract the two like fractions.
  Add 3/5 and 1/5
Now we write it as
    = 3/5  + 1/5
Here the denominator are same so,
= ( 3 + 1 ) / 5
= 4/5 Ans It means that if 3/5 part of a whole and 1/5 part of a whole are added gives us 4/5 of a whole.

Similarly we can subtract like fractions too
1. Solve 5/9  - 2/9
     as the denominators are same and the fractions are like fractions, so we get
   = ( 5 - 2 ) /9
= 3/9 Ans
2. Subtract 3/5 from 7/5
  = 7/5 - 3/5
  = (7-3) /5
  = 4/5 Ans.

In upcoming posts we will discuss about Percents problems in mathematics and LCM, GCF, ratios and proportions. Visit our website for information on CBSE previous years 11 physics

Multiplication/division - inverse relationship

In this free math problem solver session we are going to study about Multiplication of inverse relationship: There exists an inverse relationship between multiplication and division. With the above statement we mean that for any given relation of multiplication, if we inverse the numbers, the result remains unchanged. (Improve your knowledge by playing inverse function worksheet)
Let us see and understand it through some examples:
  If we write:  4 * 3 , it simply means 4 times of a number 3.
We know that multiplication is simply a repetitive addition . So it can be written as
  3 + 3 + 3 + 3  = 12
But when we write the above multiplication expression as 3 * 4, it will be expressed as :
 3 times 4
= 4 + 4 + 4  = 12    
In both the cases we get the same answer.
So we conclude that multiplication is inverse relationship i.e. 3 * 4  = 4 * 3
See more on inverse relationship here
Division of inverse relationship: Acceding to this we conclude that If any number is divided by  a divisor we get a quotient.
 Now if the place of quotient and divisor are changed, the relation remains same.
Let us try it with an example:
If we are given 26 / 3
We know that, 26 divided by 2 gives 13
or 26 / 2 = 13
In the same way if we write
26 divided by 13 gives 2
or                   26 / 13 = 2
So division of inverse relationship holds true.


In upcoming posts we will discuss about Fractions and Decimals and Place Values. Visit our website for information on CBSE home science syllabus

Solve Decimals

Decimals are very significant in the world of mathematics, with the help of decimals we can solve any fraction up to its last limit, and in finding percentage they play a very important role. Decimal is generally a tenth part of any decimal number (you can also use decimal to fraction calculator). We can perform many operations on decimal numbers like addition, subtraction and division. We can represent fractions in decimals by just dividing the numerator by denominator. Now we will see how we can Solve Decimals problems (refer this for more info on decimals).
Example: Add 12.1 + 13.43
Solution: for addition we need to check the digits after decimal, if number of digits is equal then we can simply add them but if number of digits is not equal then we need to equalize the digit then only we can add. For equalizing the digit we can simply add the zero after decimal, as zero has no importance after decimal but you can put the zero after the digit not before the digit. So we can write the above equation as
12.10+ 13.43
=25.53
In this way we can add decimals. In the same way we can also do subtraction with the decimals.
We will see an example of multiplication of decimal number (improve your skills by finding, is a repeating decimal a rational number).
Example: multiply 12.3 with 3.2
Solution: like addition we don't need to equalize the number after. For the above question we need to firstly multiply 2 with 12.3 and then we will multiply 3 with 12.3, when we will multiply 2 with 12.3 we will get 246 and on multiplying 3 with 12.3 we will get 369 now we will add them like
  246
+369*
So we will get 3936 now we need to put decimal after two digits so required answer will be 39.36.
In the same way we can also perform division operations.

In upcoming posts we will discuss about Multiplication/division - inverse relationship and Order of Operations in Grade V. Visit our website for information on CBSE class 12 home science question bank

Place value whole numbers

Whole numbers range from 0 to 9, after that combination of these whole numbers creates big and new numbers. Big range of whole numbers generates a new type of property, which is known as place value in whole numbers. Through this blog we are discussing about the whole number place value.
In the general term place value is normally finding the positional value of the number in the given number system. Finding the place value of the numbers can be categorized in many ways, but standard place value system is easiest and shortest technique.
Let’s see via some live math help examples:
Example1: Suppose there is a number 4,324,345,567.
Solution: In above example first we demonstrate how to read and write the whole numbers.
The given number is 4,324,345,567. It can be read as
4 billion, 3 hundred 24 million, 3 hundred 45 thousand, 5 hundred 67
It means that we started from right position, i.e. ones position and further move on. The table below demonstrates that:

      3                    2                         4                   3                     4                   5                     5                      6              7

Hundred million

Ten million

million

Hundred thousands

Ten thousand

thousands

hundreds

Tens

ones

   3             

Through the above table we show the actual position of the each digit in the given number. Now we are going to discuss about finding the place value of whole numbers.

Example2: find the position of 3 into the given numbers 32,839,564,730.
Solution: In the given number (32,839,564,730), no. 3 is used three times in the question.
So now we specify each place value of the number in a separate block from right to left.
The first no. 3 (in 32,839,564,730) has the place value of tens. The second no. 3 (32,839,564,730) has the place value of ten million. The third no. 3 (32,839,564,730) has the place value of ten billion.

In upcoming posts we will discuss about Solve Decimals and Problems on sum of angles for Grade V. Visit our website for information on CBSE class 12 chemistry previous years question papers

Whole numbers- read, write, count

Hello kids in grade IV, mathematics is a very wide subject. We deal with so many topics like math fractions that are used in a lot of fields. Introduction to whole number - A whole number is a number which is not in the decimal, percentage and fraction form. Numbers such as 1, 2, 3 etc. are whole numbers.
Whole numbers are a collection of unique numbers which contain 0 to 9 digits. Whole numbers are 0,1,2,3,4,5,6,7,8,9. Each digit has a place value in every whole number.
When we read the numbers starting from the left, the digits are followed by the period name. Period names do not include 'ones', 'tens'. Now we take some examples of whole numbers
1. 23,552 Read the number twenty three thousand, five hundred, fifty two.
2. 7,620 Read the number seven thousand, six hundred twenty. (read here for more on whole numbers)
When writing the numbers we can use the commas. Commas are separators for a group of digits. When we use the commas, numbers are easy to read.
We can take some more examples:-
Write the number in words: the number is 26,233,123
The solution is: twenty-six million two hundred thirty-three thousand one hundred twenty-three.
When reading and writing whole digit we cannot use word 'and’. And word is only used for decimal points.
At last I want to say that whatever information of whole numbers I gave above is correct and will be truly helpful for the IV^th standard.

In upcoming posts we will discuss about Place value whole numbers and Number systems in Grade V. Visit our website for information on board of secondary education AP

Numbers in Grade IV

Children today we are going to study about numbers in math. We cannot live without numbers. Can you imagine your life without numbers?
No!!!! In every sphere of life, where ever we go, whatever we do, numbers are central.
Let us see it through example: When we get up from bed, we check the time for reaching school, we need to take money to buy ticket for bus or train, and we need to count the books in the bag..... And so on. In fact our life revolves around the numbers (also read prime factorization).
 We are going to learn about countable numbers.
All natural numbers starting from 1, 2, 3, up to ∞ are countable numbers. These numbers help us to count the objects.
Similarly if we start the series of numbers by 0, 1, 2, 3,…up to infinite ( ∞ ), then they are called whole numbers.

Every natural number and every whole number has a successor.
The meaning of successor here is the next number in the series. We can get the successor of math numbers (for more on numbers) by adding 1 to it.
Example: successor of 34 is 34 + 1 =35
Similarly every natural number except for ‘1’ has a predecessor and every whole number excluding 0 has a predecessor. Predecessor can be taken by subtracting 1 from the number.
As 1 is the smallest natural number and 0 is the smallest whole number so they do not have any predecessor.
e.g.: 45 - 1 =44. So 44 is the predecessor of 45.
 All mathematical operators’ addition, subtraction, multiplication and division can be performed on both natural and whole numbers.
There exist a number zero (0) as the additive identity, which when added to any natural or whole number (also read about history of whole numbers), the result remains unchanged.
 I.e. 345 + 0 = 345

In upcoming posts we will discuss about Whole numbers- read, write, count and Math Blog on Probability and Statistics. Visit our website for information on Andhra Pradesh model papers

Symmetry of geometric figures

Hello kids, Previously we have discussed about analytical geometry problems and now we will discuss Symmetry of geometric figures, congruence of geometric figures for grade IV students of Maharashtra Board Syllabus.

Symmetry of geometric figures .

Mirror symmetry: A geometric figure represents the mirror symmetry when each point let B in the plane there found a point B', so that the segment BB'is perpendicular to the plane “P” and is divided by this plane into two BA = AB'. Then this palne is called symmetry plane. The best example of mirror symmetry is our hand, they fit on to one another completly. (for more reading click on geometry help).

Central Symmetry: A geometric figure is said to be central symmetric, if for center C each point say A there exists a point E on the figure, and segment AE goes through the center C divided in two parts Ac = AE, then this point is called a symmetric center.

Rotation Symmetric: A geometric figure said to has rotation symmetry if we turn the figure by 360degree / n, where “n” is any integer, a straight line say AB, this line is called symmetry axis, coincides completely with its initial point.

Example : At n = 2, we have axial symmetry.(Know more about geometry in broad manner here,)

Now we will discuss the congruence of geometric figures. When we talk about congruence the first question arises in our mind is:

What is congruence ? The answer is, the term congruence defines the fact that when one object completely coincides with other. That is they are the mirror image of one another. When we put one object on to the other one it completely hides the other one. For example gloves of our hand. Glove of right hand can't be worn on left and vice versa. They are called the mirror images.

In other word we can say,

Two figures are called congurent if one shape can become other using turns, flips, sides..

Rotation: Rotation means turning around a center, in this process teh center at any point on the figure remains the same. Rotation is called the turn.

Reflection: Reflection has the same size as the original figure and also every point in the reflection has the same distance from the central line. This central line is also called teh mirror line. Reflection is called flip. Here below is the example of reflection alog x - axis and y – axis.

Along x – axis

Along y – axis

Translation: In terms of geometry translation means moving. By means of moving we means without rotating or resizing and etc. Translation means slide.

To translate any figure every point of teh figure must move:

1. In the same direction

2. same distance.

Translation is done either by x and y axis or by angle and distance.

This is all about the geometric figures and if anyone want to know about Percents problems in mathematics then they can refer to Internet and text books for understanding it more precisely. Read more maths topics of different grades such as Decimals and Place Values in the next session here.

Parallel lines, perpendicular lines, geometry

Hello children, in this session we will discuss about one of the most interesting topics of mathematics- geometry . First question that arises in mind is, what is geometry? When we study about shape and size of a figure in space than this study is called as a geometry. For insrance, a persaon draws a figure of his house and then analyzes that figure. This process of analyzing figures is known as a geometry.

Fundamentals of geometry -

Point and line are two fundamentals concepts of geometry. When you touch the tip of your pen on paper then a dot is made. This dot is a point. For understanding the definition of a point, have a look at the figure below:

This figure is called as point . So, we can say that point is a dimensionless location in space (here dimensionless means there is no length , no height and no width .)
The next fundamental concept of geometry is a line . When we join two points , one figure is created and this figure is called as a  line .
A <-----------------------------------------> B
AB is a line.
There are two type of lines in space –

1. Parallel lines
2. Perpendicular lines
   

Parallel Lines Definition : Two lines which never meet in space , then these two lines are known as a Parallel lines or in other word two lines which always  maintain same distance between them are said to be Parallel lines.

In the figure, line1 and line2 are patallel to each other. One can observe that the didtanve between two lines is always same.
Now, we will discuss properties of Parallel lines . These lines have following  properties –

• Parallel lines never intersect each other.
• Distance between parallel lines always remains constant for each and every point .
• Parallel lines always remain in same plane .
  

Perpendicular lines  :  Two lines which intersect with each other at right angle i.e. intersect at 90 degree angle are called as perpendicular lines .

In the figure line 1 and line 2 are perpendicular to each other and meet at point O. Point O is called the point of intersection of the perpendicular lines.

perpendicular lines have following properties –

• Perpendicular lines always intersect each other at 90 degree .
• Perpendicular lines always remain in same plane .

So, this is all about geometry portion of grade IV .

In upcoming posts we will discuss about Symmetry of geometric figures and grade V. Visit our website for information on Andhra Pradesh geography questions

Numbers and Operations

Hello children,Previously we have discussed about real numbers worksheet through this blog we give basic information about the number and operations which helps the beginners to understand complex operations related to the number system. This blog specifically helps Grade IV students of gujarat board to perform their fundamental tasks and solve math problems related to it.

Number system is simply concerned with the set of numbers, their operations and their associated rules. The assignments usually contain the operations such as addition and subtraction.

The following are the number operations which are performed in the number system.

1. Addition: this operation is denoted by plus (+) sign.
2. Subtraction: this operation is denoted by minus (-) sign.
3. Multiplication: this operation is denoted by asterisk (*) sign.
4. Division: this operation is denoted by division (/) sign.

Addition operation is used to add two or more numbers to obtain their sum.

For example: 5+10=15. Through addition we can add large numbers which is shown below:

234+123=357

Subtraction operation is used to subtract one number from another number to find the difference between them. Subtraction operations can be performed on large size numbers, which is shown below:

Example: 456-123=333

Multiplication operation is used to obtain the product of two or more numbers. Multiplication operation can be referred to as repeated addition because it overcomes the limitation of addition in which we have to perform the addition of same numbers several times.

Example:

Calculate 420 * 5

Then the solution is

First, multiply 5*0=0

Second, multiply 2*5=10 then here 1 is carried forward to next number which is 4.

Third, multiply 4*5=20 now add 1with 20 which is carried forward from previous step. Now the final answer is 2100.

Division means undo multiplication which involves a number called the dividend being divided by another number called the divisor. This can be understood by the following example:

Clearly, 2*4=8

Now division is 8/2=4

Above information is enough to understand the numbers & their operations and if anyone want to know about Factors and products then they can refer to Internet and text books for understanding it more precisely. Read more maths topics of different grades such as LCM, GCF, ratios and proportions in the next session here.