Page 92 - Math Genius C3

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ProPerties of Division

1. Division of a number by 1: When a number is divided by 1, the quotient is the number

itself.

Examples: (a) 5 ÷ 1 = 5 (b) 10 ÷ 1 = 10 (c) 28 ÷ 1 = 28

2. Division of a number by itself: When a number is divided by itself, the quotient is 1.

Examples: (a) 12 ÷ 12 = 1 (b) 26 ÷ 26 = 1 (c) 64 ÷ 64 = 1

3. Division of zero by any number: When 0 is divided by any number (except 0), the

quotient is 0.
Be Aware
Example: 0 ÷ 14 = 0 Division of any number by 0
is not defined.
That is, 15 ÷ 0 = Not defined.
Long Division

We have learnt to express a division fact like 15 ÷ 3 = 5 as 3 15 5
15
0

Long Division

Without Remainder With Remainder

Quotient Example: Quotient Example:
Divisor Dividend 3 6 2 Divisor Dividend 4 9 2
6 8
0 Remainder 1

Here, we can see that 2 × 3 + 0 = 6

2 × 4 + 1 = 9

That means, Quotient × Divisor + Remainder = Dividend

When things cannot be shared equally and some are left, it is called the remainder.

Checking Division

Division can be checked using the following relation.

Quotient × Divisor + Remainder = Dividend

90 Mathematics-3