NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.2: Whole Numbers download pdf

NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.2

Here at MentorAtHome, we provide NCERT Solution for class 6 maths chapter 2 Whole Numbers we study numbers, number lines, addition, multiplication and subtraction using suitable properties like distributive, commutative etc. NCERT solution for class 6 maths chapter 2 help to make your calculation fast.

NCERT solution for class 6 maths chapter 2 Ex 2.2 : whole numbers

In NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.2, we study about Properties of whole numbers are:- Addition and multiplication of any 2 whole numbers give a whole number and Subtraction and division of any 2 whole numbers may or may not give a whole number. NCERT Class 6 maths solutions ex 2.2 are designed in a simple way that’s students easily understand.

If you want to Check NCERT Solutions of class 6 for another chapter please select it here.

Here we provide NCERT solutions of class 6 maths chapter 2 exercise 2.2. If you want to see solutions of other chapters you can check them by the above links.

exercise 2.2

NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.2

Class 6 Maths exercise 2.2 solutions Question 1
Q.1. Find the sum by suitable rearrangement:
(a) 837 + 208 + 363
(b) 1962 + 453 + 1538 + 647
Ans:-
(a) 837 + 208 + 363 = (837 + 363) + 208
= 1200 + 208 = 1408
(b) 1962 + 453 + 1538 + 647
= (1962 + 1538) + (453 + 647)
= 3500 + 1100 = 4600

Class 6 exercise 2.2 solutions question 2
Q.2. Find the product by suitable rearrangement:
(a) 2 × 1768 × 50
Ans:-
2 x 1768 x 50 = (2 x 50) x 1768 = 176800
(b) 4 × 166 × 25
Ans:-
4 x 166 x 25 = 166 x (25 x 4) = 166 x 100 = 16600
(c) 8 × 291 × 125
Ans:-
8 x 291 x 125 = (8 x 125) x 291 = 1000 x 291 = 291000

(d) 625 × 279 × 16
Ans:-
625 x 279 x 16 = (625 x 16) x 279 = 10000 x 279 = 2790000
(e) 285 × 5 × 60
Ans:-
285 x 5 x 60 = 285 x (5 x 60) = 285 x 300 = (300 – 15)x 300 = 300 x 300 – 15 x 300 = 90000 – 4500 = 85500
(f) 125 × 40 × 8 × 25
Ans:-
125 x 40 x 8 x 25 = (125 x 8) x (40 x 25) = 1000 X 1000 = 1000000

Class 6 exercise 2.2 solutions question 3
Q.3. Find the value of the following:
(a) 297 × 17 + 297 × 3
Ans:-
297 x 17 x 297 x 3 = 297 x (17 + 3)
= 297 x 20 = 297 x 2 x 10
= 594 x 10 = 5940
(b) 54279 × 92 + 8 × 54279
Ans:-
54279 x 92 + 8 x 54279 = 54279 x (92 + 8)
= 54279 x 100 = 5427900

(c) 81265 × 169 – 81265 × 69
Ans:-
81265 x 169 – 81265 x 69
= 81265 x (169 – 69)
= 81265 x 100 = 8126500
(d) 3845 × 5 × 782 + 769 × 25 × 218
Ans:-
3845 x 5 x 782 + 769 x 25 x 218 = 3845 x 5 x 782 + 769 x 5 x 5 x 218
= 3845 x 5 x 782 + (769 x 5) x 5 x 218
= 3845 x 5 x 782 + 3845 x 5 x 218
= 3845 x 5 x 782 + 3845 x 5 x 218
= 3845 x 5 x (782 + 218)
= 3845 x 5 x 1000
= 19225 x 1000
= 19225000

NCERT solution for class 6 maths chapter 2 Ex 2.2 question 4
Q.4. Find the product using suitable properties.
(a) 738 × 103
Ans:-
738 x 103 = 738 x (100 + 3)
= 738 x 100 + 738 x 3 [Using distributive property]
= 73800 + 2214 = 76014
(b) 854 × 102
Ans:-
854 x 102 = 854 x (100 + 2)
= 854 x 100 + 854 x 2 [Using distributive property]
= 85400 + 1708 = 87108
(c) 258 × 1008
Ans:-
258 x 1008 = 258 x (1000 + 8)
= 258 x 1000 + 258 x 8 [Using distributive property]
= 258000 + 2064 = 260064
(d) 1005 × 168
Ans:-
1005 x 168 = (1000 + 5) x 168
= 1000 x 168 + 5 x 168 [Using distributive property]
= 168000 + 840 = 168840

NCERT Solutions for Class 6 Maths Chapter 2 exercise 2.2 Question 5
5. A taxi driver filled his car petrol tank with 40 litres of petrol on Monday. The next day, he filled the tank with 50 litres of petrol. If petrol costs ₹ 44 per litre, how much did he spend in all on petrol?
Ans:-
Petrol filled on Monday = 40 litres
Cost of petrol = ₹44 per litre
Petrol filled on Tuesday = 50 litre
Cost of petrol = ₹44 pet litre
∴ Total money spent in all
= ₹(40 x 44 + 50 x 44)
= ₹(40 + 50) x 44 = ₹90 x 44 = ₹3960

Exercise 2.2 class 6 Question 6
6. A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs ₹ 45 per litre, how much money is due to the vendor per day?
Ans:-
Milk supplied in the morning = 32 litres
Cost of milk = ₹15 per litre
Milk supplied in the evening = 68 litres
Cost of milk = ₹15 per litre

Class 6 Exercise 2.2 Question 7
7. Match the following:
(i) 425 × 136 = 425 × (6 + 30 + 100) (a) Commutativity under multiplication.
(ii) 2 × 49 × 50 = 2 × 50 × 49 (b) Commutativity under addition.
(iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition.
Ans:-
 (i) ↔ (c), (ii) ↔ (a) and (iii) ↔ (b)

Key Points

Some important key points in NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.2

• All natural numbers are whole numbers.
• All whole numbers, except 0, are natural numbers.
• Properties of Whole numbers:
• Whole numbers are closed under addition and also under multiplication.
• Whole numbers are not closed under subtraction and under division.
• Division of a whole number by 0 is not defined.
• Addition and multiplication are commutative for whole numbers.

Students are advised to read class 6 NCERT books. You can also download the NCERT book pdf only for Class 6 maths chapter 2.

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