Class 6 Whole Numbers Worksheet with Answers

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Before attempting the worksheet, watch this complete tutorial on Whole Numbers for Class 6. It will help you understand concepts clearly and solve questions confidently.

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Complete Whole Numbers tutorial for Class 6 below ⬇️

Section A: Very Short Answer Questions (1 mark each)

$\text{Write the smallest whole number.}$

$\text{Write the additive identity of whole numbers.}$

$\text{Write the multiplicative identity of whole numbers.}$

$\text{Is subtraction a closed operation for whole numbers? (Yes / No)}$

$7 + 0 = ____$

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Section B: Short Answer Questions (2 marks each)

$\text{Check whether whole numbers are closed under addition using two examples.}$

$\text{Verify the commutative property of addition for } 23 + 15.$

$\text{Verify the commutative property of multiplication for } 6 \times 9.$

$\text{Is division closed for whole numbers? Give reason with an example.}$

$\text{Represent the following on a number line:}$
$(a)\ 3 + 4$
$(b)\ 7 - 5$

Section C: Medium Answer Questions (3 marks each)

$\text{Verify the associative property of addition:}$
$(12 + 8) + 5 \quad \text{and} \quad 12 + (8 + 5)$

$\text{Verify the associative property of multiplication:}$
$(4 \times 5) \times 2 \quad \text{and} \quad 4 \times (5 \times 2)$

$\text{Verify the distributive law of multiplication over addition:}$
$7 \times (10 + 3)$

$\text{Write the next three terms of the pattern:}$
$2,\ 4,\ 8,\ 16,\ __,\ __,\ __$

Section D: Long Answer Questions (5 marks each)

$\text{(a) Define closure property.}$
$\text{(b) Check whether whole numbers are closed under:}$
$\text{(i) Addition \quad (ii) Multiplication \quad (iii) Subtraction \quad (iv) Division}$

$\text{Using a number line, explain:}$
$\text{(a) Addition of whole numbers}$
$\text{(b) Subtraction of whole numbers}$

$\text{(a) State the additive identity and multiplicative identity of whole numbers.}$
$\text{(b) Verify both using suitable examples.}$

Section E: Higher Order Thinking Skills (HOTS)

$\text{Without calculating, determine whether the result is even or odd:}$
$\text{even number} \times \text{odd number}$

$\text{Find the missing number using distributive law:}$
$5 \times (20 + __) = 5 \times 20 + 5 \times 6$

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✅ Answer Sheet

Section A: Very Short Answer

$\text{The smallest whole number is } 0.$

$\text{The additive identity of whole numbers is } 0.$

$\text{The multiplicative identity of whole numbers is } 1.$

$\text{No, subtraction is not a closed operation for whole numbers.}$

$7 + 0 = 7$

Section B: Short Answer

$5 + 6 = 11,\ \text{a whole number}$
$10 + 15 = 25,\ \text{a whole number}$
$\text{Hence, whole numbers are closed under addition.}$

$23 + 15 = 38$
$15 + 23 = 38$
$\text{Since both results are equal, addition is commutative.}$

$6 \times 9 = 54$
$9 \times 6 = 54$
$\text{Since both results are equal, multiplication is commutative.}$

$5 \div 2 = 2.5$
$\text{2.5 is not a whole number.}$
$\text{Therefore, division is not closed for whole numbers.}$

$3 + 4 = 7\ \text{(move 4 steps right from 3 on the number line)}$
$7 - 5 = 2\ \text{(move 5 steps left from 7 on the number line)}$

Section C: Medium Answer

$(12 + 8) + 5 = 20 + 5 = 25$
$12 + (8 + 5) = 12 + 13 = 25$
$\text{Hence, associative property of addition is verified.}$

$(4 \times 5) \times 2 = 20 \times 2 = 40$
$4 \times (5 \times 2) = 4 \times 10 = 40$
$\text{Hence, associative property of multiplication is verified.}$

$7 \times (10 + 3) = 7 \times 13 = 91$
$(7 \times 10) + (7 \times 3) = 70 + 21 = 91$
$\text{Hence, distributive law is verified.}$

$\text{Pattern doubles each time.}$
$\text{Next three terms are } 32,\ 64,\ 128.$

Section D: Long Answer

$\text{(a) Closure property means that the result of an operation on whole numbers is also a whole number.}$

$\text{(b)}$
$\text{Addition: Closed}$
$\text{Multiplication: Closed}$
$\text{Subtraction: Not closed}$
$\text{Division: Not closed}$

$\text{(a) Addition: On a number line, move right to add whole numbers.}$
$\text{(b) Subtraction: On a number line, move left to subtract whole numbers.}$