We all know that multiplication is repeated
addition and division is repeated subtraction. Which means multiplication and
division are inverse operation.

Allow us to perceive this with the next
instance.

We are able to say that for every multiplication
reality, of two distinct numbers we now have two division info. 2 × 2 offers just one
division reality 4 ÷2 = 2.

For instance:

Write two division info for every of the
following multiplication info.

Since, division and multiplication are associated, we are able to verify our reply by multiplying quotient and divisor to get the dividend.

After we multiply, we put collectively the collections containing similar variety of objects. 4 × 3 = 12 3 teams of 4 flowers every put collectively as a single group of 12 flowers.

After we divide, we take away collections containing equal variety of objects 12 ÷ 3 = 4 12 flowers put aside as 3 teams of 4 flowers every.

What will we conclude from the above dialogue?

We conclude that multiplication is the reverse technique of division.

Allow us to observe the next examples:

1. 5 × 2 = 10 is a multiplication reality.

From this reality we are able to write:

(i) 10 ÷ 5 = 2

(ii) 10 ÷ 2 = 5

Thus, for each multiplication reality there are two division info.

2. 21 ÷ 3 = 7 is a division reality.

From this reality we are able to write:

(i) 7 × 3 = 21

(ii) 3 × 7 = 21

Thus, for each division reality there are two multiplication info.

Questions and Solutions on Relationship between Multiplication and Division:

I. Write multiplication reality for every
division reality.

(i) 56 ÷ 8 = ……….. means ……….. × ……….. =
……….

(ii) 33 ÷ 11 = ……….. means ……….. × ……….. =
……….

(iii) 42 ÷ 6 = ……….. means ……….. × ……….. =
……….

(iv) 28 ÷ 7 = ……….. means ……….. × ……….. =
……….

Reply:

I. (i) 7, 8 × 7 = 56

(ii) 3, 11 × 3 = 33

(iii) 7, 6 × 7 = 42

(iv) 4, 7 × 4 = 28

II. Write two division info for every
multiplication reality.

(i) 7 × 9 = 
……….. means ……….. ÷ ……….. = ………. and ……….. ÷ ……….. = ……….

(ii) 5 × 4 =  ……….. means ……….. ÷ ……….. = ………. and ……….. ÷
……….. = ………. 

Reply:

II. (i) 63, 63 ÷ 7 = 9, 63 ÷ 9 = 7

(ii)  20, 20 ÷ 4 = 59, 20 ÷ 5 = 4

III. Utilizing following numbers, write
multiplication info and division info.

(i) 5, 4, 20        ……….               ……….               ………. 

(ii) 6, 9, 54       ……….               ……….               ………. 

(iii) 7, 4, 28      ……….               ……….               ………. 

(iv) 20, 2, 10    ……….               ……….               ………. 

Reply:

III. (i) 5 × 4 = 20, 20 ÷ 4 = 5, 20 ÷ 5 = 4

(ii) 6 × 9 = 54, 54 ÷ 6 = 9, 54 ÷ 9 = 6

(iii) 7 × 4 = 28, 28 ÷ 7 = 4, 28 ÷ 4 = 7

(iv) 2 × 10 = 20, 20 ÷ 2 = 10, 20 ÷ 10 = 2

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