**‘Whole numbers’** is the **second chapter of the Class 6 Maths** syllabus. The chapter is in both I.C.S.E. and C.B.S.E. syllabuses. This post contains an **online maths test on the chapter whole numbers**. online tests are similar to mock tests. This test has been made in the form of a quiz containing 10 **multiple choice questions** on the chapter – whole numbers.

Before starting the quiz, let us recap what you have read in the chapter whole numbers.

## What are whole numbers

Whole numbers are the counting numbers starting with 0 and comprising all the positive numbers or you can say, natural numbers along with 0 are whole numbers.

Thus,

(i) 0, 1, 2, 3, 4, …….is the whole number series.

(ii) The smallest whole number is 0 whereas the greatest whole number cannot be obtained.

### Properties of Addition and Subtraction of Integers

#### Closure Property

Closure property of whole numbers states that for any two whole numbers a and b, a + b is an also a whole number.

Hence, the sum of two whole numbers will be a whole number.

For example, 69+ 15 = 84

Thus we can say that Whole numbers are closed under addition.

#### Closure under Subtraction

Closure property of Whole numbers states that,

if a and b are two Whole numbers, then a – b is not necessarily a Whole number.

For example, 20 – 6 = 14, which is a whole number, whereas

6 – 20 = -14 which is not a whole number.

#### e Property

The commutative property states that for any two whole numbers a and b,

a + b = b + a

For example,

9 + 3 = 3 + 9 = 12

Thus, we conclude that addition is commutative for whole numbers.

But, 9 – 3 = 6 and 3 – 9 = -6.

Thus We conclude that subtraction is not commutative for whole numbers.

#### Associative property

Associative property states that, for any integers a, b and c, we can say a + (b + c) = (a + b) + c

For example, 234 + (197 + 103) = 534 and (234 + 197) + 103 = 534

This shows that addition is associative for whole numbers.

### Properties of Multiplication

#### Closure Property

Closure property of multiplication states that the product of two whole numbers is a whole number.

Thus, a × b is a whole number for all the whole numbers a and b.

For example, 52 × 15 = 780 which is a whole number.

#### Commutativity of Multiplication

The commutative property states that for any two whole numbers a and b,

a × b = b × a

For example, 30 × 15 = 450 and 15 × 30 = 450.

Thus Commutativity of Multiplication is true for whole numbers.

#### Associativity for Multiplication

The associative property states that, for any three whole numbers a, b and c (a × b) × c = a × (b × c)

Thus, 8 × 1769 × 125 = 8 × 125 × 1769 = 17,69,000.

Thus, the product of three whole numbers does not depend upon the grouping of them.

#### Distributivity of Multiplication over Addition

Distributive property states that for any integers a, b and c,

a × (b + c) = a × b + a × c

For example,

4 × (5 + 8)= (4 × 5) + (4 × 8) = 52

This is known as distributivity of multiplication over addition.

### Division of Whole Numbers

(i) Whole numbers are not closed under division.

For example, 16 ÷ 4 = 4, a whole number.

6 ÷ 5 = 6 / 5, not a whole number(ii) Division by zero is not defined.

(iii) Associative property for division is not followed by whole numbers.

For example, (28 ÷ 14) ÷ 2 and 28 ÷ (14 ÷ 2).

## Class 7 Maths Test Chapter- Whole Numbers

**video tutorial of the chapter whole numbers.**

**Video tutorials on the chapter – Whole numbers Class 6 Maths:**

Part 1

Part 2

Part 3

### Rules For The Quiz:

- This quiz has 10 multiple-choice questions.
- Each sum has 2 marks.
- So the maximum marks are 20.
- There is no time limit.
- You should be ready with a pen and copy in your hand to solve the sums.
- keep your Maths book away from you. This is the test of your memory. So do not take the help of the Maths book.
- The correct answer and explanation are provided at the end of this quiz.

Happy learning an always say yes to maths.