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

Process of Division

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:

Process of Division

By trial we conclude 8 nines are 72.

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

Process of Division

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

Related Concept

Addition

Word Problems on Addition

Subtraction

Check for Subtraction and Addition

Word Problems Involving Addition and Subtraction

Estimating Sums and Differences

Find the Missing Digits

Multiplication

Multiply a Number by a 2-Digit Number

Multiplication of a Number by a 3-Digit Number

Multiply a Number

Estimating Products

Word Problems on Multiplication

Multiplication and Division

Terms Used in Division

Division of Two-Digit by a One-Digit Numbers

Division of Four-Digit by a One-Digit Numbers

Division by 10 and 100 and 1000

Dividing Numbers

Estimating the Quotient

Division by Two-Digit Numbers

Word Problems on Division





4th Grade Math Activities

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