# Find the Quotient using Division Property

How to find the quotient using division property?

Property 1:

When a number is divided by 1, the quotient is the number itself.

(i) 7 ÷ 1 = 7,

(ii) 9 ÷ 1 = 9,

(iii) 5 ÷ 1 = 5,

(iv) 11 ÷ 1 = 11,

(v) 15 ÷ 1 = 15,

(vi) 21 ÷ 1 = 21, etc.

Property II:

When a non-zero number is divided by itself, the quotient is 1.

(i) 7 ÷ 7 = 1,

(ii) 9 ÷ 9 = 1,

(iii) 5 ÷ 5 = 1, etc.

(iv) 3 ÷ 3 = 1,

(v) 1 ÷ 1 = 1,

(vi) 19 ÷ 19 = 1, etc.

Property III:

Dividing any number by 0 (zero) is meaningless.

(i) 8/0 = meaningless

As, 8 – 0 = 8, 8 – 0 = 8, 8 – 0 = 8 …….. the process has no end.

(ii) 17/0 = meaningless

As, 17 – 0 = 17, 17 – 0 = 17, 17 – 0 = 17 …….. the process has no end.

(iii) 11/0 = meaningless

As, 11 – 0 = 11, 11 – 0 = 11, 11 – 0 = 11 …….. the process has no end.

Property IV:

When 0 (zero) is divided by any non-zero, the quotient is zero.

As, any number × 0 = 0 so, 0 ÷ any number = 0

(i) 2 × 0 = 0 gives 0 ÷ 2 = 0,

(ii) 5 × 0 = 0 gives 0 ÷ 5 = 0,

(iii) 7 × 0 = 0 gives 0 ÷ 7 = 0,

(iv) 11 × 0 = 0 gives 0 ÷ 11 = 0,

(v) 16 × 0 = 0 gives 0 ÷ 16 = 0, etc.

So, dividing zero by any non-zero number we get quotient 0.

Therefore, to find the quotient using division property it’s important to know the properties for solving division when the; divisor is 1, divisor is same as dividend, divisor is 0 and dividend is 0.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Worksheet on Triangle | Homework on Triangle | Different types|Answers

Jun 21, 24 02:19 AM

In the worksheet on triangle we will solve 12 different types of questions. 1. Take three non - collinear points L, M, N. Join LM, MN and NL. What figure do you get? Name: (a)The side opposite to ∠L…

2. ### Worksheet on Circle |Homework on Circle |Questions on Circle |Problems

Jun 21, 24 01:59 AM

In worksheet on circle we will solve 10 different types of question in circle. 1. The following figure shows a circle with centre O and some line segments drawn in it. Classify the line segments as ra…

3. ### Circle Math | Parts of a Circle | Terms Related to the Circle | Symbol

Jun 21, 24 01:30 AM

In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We…

4. ### Circle | Interior and Exterior of a Circle | Radius|Problems on Circle

Jun 21, 24 01:00 AM

A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known