Concept of Multiplication

Multiplication is repeated addition of a number to itself.

Study the following example to understand it:

Example: Take 3 groups of 2 pens each as shown below.

Concept of Multiplication

How many pens are there in all?

(2 + 2 + 2) = 6 pens in all Thus, 2 three times = 2 + 2 + 2 = 6.

We write it as 2 × 3 = 6.       ['×' is the symbol of multiplication.]

We say that 2 multiplied by 3 gives 6

or 3 times 2 is 6

or 2 into 3 is equal to 6.

We also say that the product of 2 and 3 is 6. 2 x 3 = 6 is a Multiplication Fact.

Form the above discussion,

We observe that multiplication is repeated addition of the same number.

In a multiplication sum, the number by which we multiply is called multiplier, the number which is multiplied is called multiplicand and the answer is called product.

2

x

3

=

6

Multiplicand

Multiplier

Product


Multiplication in Two Ways:

Do you remember adding and subtracting in two ways?

In multiplication too, we can write the numbers horizontally or vertical

Horizontal Method

3 × 4 = 12

Vertical Method

                     3

               ×    4

                   1 2 


1. Write the multiplication fact for each of the following. One has been done for you.

(i)

Multiplication Fact 3 × 2

3 × 2 = 6

(ii)

Multiplication Fact 2 × 4

_____ × _____ = _____

(iii)

Multiplication Fact 6 × 4

_____ × _____ = _____

(iv)

Multiplication Fact 8 × 2

_____ × _____ = _____


2. Fill in the empty boxes. One has been done for you.

(i)

4 + 4 + 4 = 12

4 × 3 = 12

(ii)

2 + 2 + 2 + 2 = 8

_____ × _____ = _____

(iii)

5 + 5 + 5 = 15

_____ × _____ = _____

(iv)

6 + 6 + 6 + 6 = 24

_____ × _____ = _____

(v)

12 + 12 = 24

_____ × _____ = _____

(vi)

8 + 8 + 8 + 8 + 8 = 40

_____ × _____ = _____


3. Express the following in the form of repeated addition. One has been dine fir you.

(i)

6 × 5 →

66 + 6 + 6 + 6

(ii)

3 × 5 →

_______________

(iii)

8 × 3 →

_______________

(iv)

7 × 4 →

_______________

(v)

9 × 2 →

_______________

(vi)

5 × 7 →

_______________

(vii)

4 × 9 →

_______________

(viii)

5 × 5 →

_______________


4. Match the correct answer:

(i)

9 + 9 + 9

(a)

7 × 5

(ii)

4 + 4 + 4 + 4

(b)

9 × 3

(iii)

7 + 7 + 7 + 7 + 7 

(c)

8 × 6

(iv)

8 + 8 + 8 + 8 + 8 + 8 

(d)

4 × 4

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