# Multiplication and Division

In multiplication and division the relationship are discuss here.

We are acquainted with the meaning and general process of division. We are also aware of the fact that division is the reverse process of multiplication;

as 15 ÷ 3 = 5, then 5 × 3 = 15.

We know that for every multiplication fact with two distinct factors, there are two division facts,

For examples:

(i) 5 × 3 = 15 given; 15 ÷ 3 = 5 and 15 ÷ 5 = 3

(ii) 6 × 7 = 42 given; 42 ÷ 7 = 6 and 42 ÷ 6 = 7

The above facts help us to find the solution of the division.

Say we have to divide 63 by 7.

We search in multiplication tables for that number which when multiplied by 7, gives 63.

7 × 1 = 7,

7 × 2 = 14,

7 × 3 = 21,

7 × 4 = 28,

7 × 5 = 35,

7 × 6 = 42,

7 × 7 = 49,

7 × 8 = 56,

7 × 9 = 63

Thus, 7 × 9 = 63

So 63 ÷ 7 = 9 or

This relationship of multiplication and division helps us to complete the process of division, i.e., we use multiplication tables of different digits to divide a number.

As:

By trial we conclude 8 nines are 72.

So, 8 being divisor, 9 will be the quotient.

By trial we conclude 5 sixes are 30. So, 5 being divisor, 6 will be the quotient.

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