The properties of division are discussed here:

1. Division by 1 Property:

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

*In other words*, when any number is divided by 1, we always get the number itself as the quotient.

**For example:**

(i) 7542 ÷ 1 = 7542

(ii) 372 ÷ 1 = 372

(iii) 1522 ÷ 1 = 1522

(iv) 1502 ÷ 1 = 1502

(v) 1084 ÷ 1 = 1084

(vi) 1745 ÷ 1 = 1745

(vii) 28456 ÷ 1 = 28456

2. Division by itself Property:

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

*In other words*, when any number is divided by the number itself, we always get 1 as the quotient.

**For example:**

(i) 275 ÷ 275 = 1

(ii) 105 ÷ 105 = 1

(iii) 572 ÷ 572 = 1

(iv) 1027 ÷ 1027 = 1

(v) 1426 ÷ 1426 = 1

(vi) 1654 ÷ 1654 = 1

(vii) 18520 ÷ 18520 = 1

3. Division any Number by 0 Property:

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

**Note:** The divisor can never be zero. Division by zero is not
possible.

4. Division of 0 by any Number Property:

0 divided by a number gives 0 as the quotient.

*In other words*, when 0 is divided by any number, we always get 0 as the quotient.

**For example:**

(i) 0 ÷ 25 = 0

(ii) 0 ÷ 100 = 0

(iii) 0 ÷ 4255 = 0

(iv) 0 ÷ 15246 = 0

5. Division by 10, 100 and 1000 Property:**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.**

**5th Grade Math Problems**** ****From Properties of Division to HOME PAGE**

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