# Properties of Division

The properties of division are discussed here:

1. If we divide a number by 1 the quotient is the number itself.

For example:

(i) 7542 ÷ 1 = 7542

(ii) 372 ÷ 1 = 372

(iii) 1522 ÷ 1 = 1522

(iv) 1502 ÷ 1 = 1502

(v) 1084 ÷ 1 = 1084

2. If we divide a number by the number itself, the quotient is 1.



For example:

(i) 275 ÷ 275 = 1

(ii) 105 ÷ 105 = 1

(iii) 572 ÷ 572 = 1

(iv) 1027 ÷ 1027 = 1

(v) 1426 ÷ 1426 = 1

3. Division of a number by 0 is meaningless.

For example:

(i) 35 ÷ 0 = no meaning

(ii) 65 ÷ 0 = no meaning

(iii) 29 ÷ 0 = no meaning

(iv) 47 ÷ 0 = no meaning

(v) 86 ÷ 0 = no meaning

4. 0 divided by a number gives 0 as the quotient.

5. Division by 10,100 and 1000

For example:

(i) When a number is divide by 10, the digit in the once place is the remainder.

867 ÷ 10;

Quotient = 86 and Remainder =7.

(ii) When a number is divided by 100, the number formed by the tens and once place is the remainder.

2764 ÷ 100;

Quotient = 7 and Remainder = 456.

● Subtraction Of Whole Numbers.

● Multiplication Of Whole Numbers.

● Properties Of Multiplication.

● Division Of Whole Numbers.

● Properties Of Division.