The properties of the division are discussed here:

1. Division by 1 property:

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

In other words, when dividing a number by 1, we always get the number itself as a quotient.

When a number is divided by 1, we always get the number itself.

**For example:**

(i) 7542 ÷ 1 = 7542

(ii) 372 ÷ 1 = 372

(iii) 1522 ÷ 1 = 1522

(iv) 1502 ÷ 1 = 1502

(v) 34 ÷ 1 = 34

(vi) 16 ÷ 1 = 16

(v) 1084 ÷ 1 = 1084

(vi) 1745 ÷ 1 = 1745

(vii) 28456 ÷ 1 = 28456

(viii) 34 ÷ 1 = 34

(ix) 16 ÷ 1 = 16

2. Division by yourself property:

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

In other words, if a number is divided by the number itself, we always get 1 as the quotient.

When a 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

(viii) 7 ÷ 7 = 1

(ix) 24 ÷ 24 = 1

3. Division of any number by 0 Property:

The 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 results in 0 as the quotient.

*In other words*if 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

(v) 0 ÷ 2 = 0

(vi) 0 ÷ 75 = 75

5. Division by 10, 100 and 1000 property:

**For example:**

(i) When a number is divided by 10, the one-time digit is the remainder.

867 ÷ 10;

*quotient* = 86 and *rest* = 7.

(ii) When a number is divided by 100, the number made up of the tens and one digit is the remainder.

2764 ÷ 100;

*quotient* = 7 and *rest* = 456.

Questions and answers about the characteristics of the division:

**1. Fill in the gaps.**

(i) 23 ÷ 23 = ………

(ii) 21 ÷ ……… = 21

(iii) 15 ÷ 1 = ………

(iv) ……… 15 = 0

(v) 0 ÷ 12 = ………

(vi) 8 ÷ ……… = 1

(vii) 65 ÷ 65 = ………

(viii) ……… 12 = 1

**Reply:**

**1. **(i) 1

(ii) 1

(iii) 15

(iv) 0

(v) 0

(vi) 8

(vii) 1

(viii) 12

**● ****Operations on whole numbers**

**● ****Addition of whole numbers.**

**● ****Whole number subtraction.**

**● ****Multiplication of whole numbers.**

**● ****Properties of multiplication.**

**● ****Division of whole numbers.**

**● Properties of the division.**

**5th grade math problems degree **

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