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


In upcoming posts we will discuss about Associative property of multiplication and How to Sketch Transformations? Visit our website for information on biology syllabus for class 10 ICSE

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

Negative numbers

Hello students, in this session we are going to discuss the negative numbers for Grade IV. Numbers are helpful to count anything. And in mathematics we used so many types of numbers; for example real, positive, negative, whole, prime, odd and even and many more. We cannot imagine the calculation in mathematics without the help of numbers. In mathematics we also use the negative numbers, now the question is that how to define negative numbers, let’s take a look. They are the numbers that are less than the zero.
For example : - -1, -4, -5, -9, -75 these are the negative numbers. (Also improve your skills by reading Negative Correlation Coefficient)
In the negative numbers we do not include the 0. The negative numbers are denoted by this ' - ' symbol. This symbol is called the Minus sign or symbol and we used this symbol when we need to show that we have negative numbers for example -7, -85, -124, -5543, if you want to show the negative numbers then it is necessary to apply the sign or put this sign just before the number. (also play adding and subtracting positive and negative numbers worksheet)
Negative numbers are the just opposite of the positive numbers. We can express the negative numbers by taking an example : - -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
In above number line the numbers that are left to the zero are known as the negative numbers. And those numbers that are right to the zero are said to be the positive numbers.
In negative numbers we can also perform any binary operation such as addition, subtraction, multiplication and division. Mainly negative numbers are used in the accounting and science to show the less than zero values.


In upcoming posts we will discuss about Positive numbers and Estimates of Measurements in Grade V. Visit our website for information on West Bengal council of higher secondary education syllabus

Multiplication and division situations

Hi Friends! In this free math homework help session we will discuss about Multiplication and division situations. Multiplication and division situations are included for the students of grade IV. There are some situations that occur requiring the Multiplication situations or division situations that are as follows :

( 1 ) Equal groups : It can be understood by an example: if there are three boxes and each of them contains 4 balls then what are total number of balls in three boxes?

These types of questions produce the multiplication situation. The total balls are 3 * 4 = 12 balls.

And when total number of balls are given and number of boxes are given then it produces the division situation for getting the number of balls in each box as 3 * Balls in each box =12 or balls in each box = 12 / 3 = 4 .

( 2 ) Arrays / area : If there are three rows of cycles in the ground and in each row there are 6 cycles then how many cycles are there ?

This situation also requires the multiplication as total number of cycles are 3 * 6 = 18 cycles .

If we are given the total number of cycles and we have to give the cycles min each row and then find the number of rows. It produces the division situation as number of rows * 6 = 18 or number of rows = 18 / 6 = 3 rows.

( 3 ) Comparison : If there is comparison between the two objects as if length of one rope is double then the other rope of length 10 cm then find the length of first rope ? (also read difference between integration and differentiation)

Above situation is defined for the multiplication situation as length of first rope = 2 * length of second rope

Then l = 2 * 10 cm = 20 cm.

Or if there is a situation as Sam has 4 apples and Gim has half of them then it is division situation as

Gim's apples = 4 * 1/ 2 = 2 apples.

In upcoming posts we will discuss about Negative numbers and Unit Conversion and Measurement in Grade V. Visit our website for information on CBSE 11 physics book

Addition and subtraction

Number system is the basic tool for the mathematics to solve various types of problem. In the number system we generally deal with whole numbers, natural numbers, integers and decimals values. To perform the various tasks we being free math problem solver, execute the concept of operation with them. In the concept of operation, most popular operations are addition, subtraction, multiplication and division. Addition and subtraction are the most popular operations which are performed by students of Grade IV in a very easier way.
Addition: This concept can be defined as total of two or more numbers for generating the single value. The addition can be performed with single digit numbers to multiple digit numbers. The addition operation represented by the ( + ) plus symbol. In the concept of addition, there is no boundary for the no. of digit in the value that are used in the addition. In a more specific form addition is a mathematical operation that combine the collections of values into larger collection value. Addition operation can easily be executed on rational numbers or fractional numbers. Lets show you below the process of addition:
Example: Find the total of given numbers 1234 and 4321?
Solution: now we follow the process step by step
step 1: Arrange the numbers in following manner
   1 2 3 4
+ 4 3 2 1
_________________
   5 5 5 5
step 2: In this always remember, start the process from right hand side to left hand side.

Subtraction: This operation can be define as “compare the two different values and show the difference value into the new collection. Subtraction can be represented by the ( - ) minus symbol. Like a addition, subtraction can also be performed on any number of number system. Let's show you the process of subtraction into the given example:
Example: Find the difference value of given number 456 and 123?
Solution: 4 5 6
             - 1 2 3
_______________
              3 3 3


In upcoming posts we will discuss about Multiplication and division situations and Direct, Indirect, Standard, and Non-standard Units. Visit our website for information on business studies class 12 CBSE syllabus