Property	Definition	Example
Closure Property	The sum or product of any two whole numbers is always a whole number.	5 + 3 = 8 and 4 × 6 = 24. Both 8 and 24 are whole numbers.
Commutative Property	Changing the order of numbers in addition or multiplication does not change the result.	a + b = b + a and a × b = b × a. Example: 4 + 5 = 5 + 4 and 3 × 7 = 7 × 3.
Associative Property	Changing the grouping of numbers in addition or multiplication does not change the result.	(a + b) + c = a + (b + c) and (a × b) × c = a × (b × c). Example: (2 + 3) + 4 = 2 + (3 + 4) and (2 × 3) × 4 = 2 × (3 × 4).
Distributive Property	Multiplication distributes over addition.	a × (b + c) = (a × b) + (a × c) Example: 3 × (4 + 5) = (3 × 4) + (3 × 5) = 12 + 15 = 27
Identity Property of Addition	Adding zero to a whole number gives the same number.	a + 0 = a. Example: 5 + 0 = 5.
Identity Property of Multiplication	Multiplying a whole number by one gives the same number.	a × 1 = a Example: 7 × 1 = 7.
Multiplication by Zero	Any whole number multiplied by zero is zero.	a × 0 = 0. Example: 6 × 0 = 0.
Division by Zero	Division of a whole number by zero is not defined.	Example: 5/0 is undefined.

​Practice Questions on Whole Numbers

These practice questions on whole numbers will help you to improve your understanding on Whole Numbers

Question 1: Which of the following are whole numbers?

−3, 0, 2.5, 4, 5, −1.2

Solution:

Whole numbers are non-negative integers, which include 0, 1, 2, 3, etc. Therefore, from the list, 0, 4, and 5 are whole numbers. Negative numbers and fractions/decimals are not whole numbers.

Question 2: What is the sum of 7 and 8?

Solution:

Addition of two numbers is straightforward. 7 + 8 = 15.

Question 3: What is the sum of the first 10 whole numbers?

Solution:

The first 10 whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Adding them: 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 450.

Thus, answer is 450.

Note: We can also use the formula for sum of n natural numbers.

Question 4: Identify if the following statement is True or False: “The sum of any two whole numbers is always a whole number.”

Solution:

Whole numbers are closed under addition, meaning adding two whole numbers always results in another whole number. For example, 2 + 3 = 5, which is a whole number.

Question 5: Find the sum of the squares of the first 5 whole numbers.

Solution:

The first 5 whole numbers are 0, 1, 2, 3, 4.

Their squares are 0², 1², 2², 3², 4².

Calculate each square and then sum them: 0² + 1² + 2² + 3² + 4² = 0 + 1 + 4 + 9 + 16 = 30.

Thus, sum of square of first 5 whole number is 30.

Question 6: A teacher has 4 boxes of markers. Each box contains 12 markers. How many markers does the teacher have in total?

Solution:

Multiply the number of boxes by the number of markers per box: 4 × 12 = 48.

Evaluate 2+3×(4+6)−82 + 3 \times (4 + 6) – 82+3×(4+6)−8.

Solution:

Follow the order of operations (PEMDAS/BODMAS):

2 + 3 × (4 + 6) − 8

First, calculate inside the parentheses: 4 + 6 = 10

Then, multiplication:

3 × 10 = 30

Finally, addition and subtraction:

2 + 30 − 8 = 32−8 = 24

Question 7: Simplify: 216 × 65 + 216 × 35.

Solution :

216 × 65 + 216 × 35 = 216 × (65 + 35)

= 216 × 100

= 21600

Thus, 216 × 65 + 216 × 35 = 21600

Question 8: Find the product by suitable rearrangement: 2 × 1768 × 50

Solution:

2 × 1768 × 50

This expression can be rearranged as:

= (2 × 50) × 1768

= 100 × 1768

= 176800

Therefore, 2 × 1768 × 50 = 176800

Question 9: Find the product using suitable properties: 854 × 102.

Solution:

854 × 102

= 854 × (100 + 2)

= 854 × 100 + 854 × 2 (Using distributive property)

= 85400 + 1708

= 87108

Thus, 854 × 102 = 87108

Question 10: Find the sum by suitable rearrangement. 197 + 234 + 103

Solution:

197 + 234 + 103

This can be rearranged as:

(197 + 103) + 234

= 300 + 234

= 534

Therefore, 197 + 234 + 103 = 534.

Question 11: How many whole numbers are there between 33 and 54?

Solution:

The whole numbers between 33 and 54 are:

34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53

Thus, there are 20 whole numbers between 33 and 54.

Practice Questions on Whole Numbers

Question 1: What is the sum of the first 100 whole numbers?

Question 2: What is the smallest whole number that is divisible by both 8 and 12?

Question 3: What is the product of the first 10 whole numbers?

Question 4: How many whole numbers are there between 1 and 100 (inclusive) that are divisible by 5?

Question 5: If you add 15 to a certain whole number, the result is 42. What is the number?

Question 6: ( 45 + 32 = ? )

Question 7: ( 120 ÷ 10 × 3 = ? )

Question 8: ( 99 – 44 + 33 = ? )

Question 9: What is 345 + 678?

Question 10: What is 256 × 34?

Question 11: Find the remainder when 1001 is divided by 11.

Read More,

• Natural Numbers
• Rational Numbers
• Real Numbers
• Imaginary Numbers
• Complex Numbers

Practice Questions on Whole Numbers – FAQs

Is Zero a whole number?

Yes, Zero is a whole number, As whole numbers include all the non-negative integers starting from zero: 0, 1, 2, 3, and so on.

What is the smallest whole number?

The smallest whole number is ‘0’.

Is every rational number a whole number?

No, Every rational number is not a whole number, but every whole number is rational number.

Are all integers whole numbers?

No, Whole number only include zero and all positive integers, Negative integers are not whole numbers.