# Number Line Prime Class 6 Solutions Chapter 3

## Number Line Prime Class 6 Solutions Chapter 3 Natural Numbers and Whole Numbers

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students for the Solutions of Number Line Prime Class 6 Math Book, Chapter 3, Natural Numbers and Whole Numbers. Here students can easily find step by step solutions of all the problems for Natural Numbers and Whole Numbers, Exercise 3A, 3B and 3C Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 3 solutions. Here in this post all the solutions are based on latest Syllabus.

Natural Numbers and Whole Numbers Exercise 3A Solution :

Question no – (1)

Solution :

(a) 0

(b) 1

(c) 0

(d) 0

(e) 1

(f) Left side

(g) 1000 + 1 = 1001

Question no – (2)

Solution : Question number – (3)

Solution :

(a) 1,01987 < 8,91,001

(b) 8094 < 91,000

(c) 4873 < 6945

(d) 7651 < 8198

The smaller number come to left on number line

Question no – (4)

Solution :

(a) 6 + 7 (b) 15 – 7 (c) 4 × 5 (d) 12 ÷ 6 Natural Numbers and Whole Numbers Exercise 3B Solution :

Question no – (1)

Solution :

(b) Multiplication Commutative

(c) Distributive property

(e) Distributive property

(f) Distributive property

Question no – (2)

Solution :

(a) 8

(b) 487

(c) 2000

(d) 100

(e) 251

Question no – (3)

Solution :

(a) (32 ÷ 8) ÷ 2

= 4 ÷ 2

= 2

= 32 ÷ (8 ÷ 2)

= 32 ÷ 4

= 8

2 ≠ 8

Hence, – False

(b) 3 × (6 + 1)

= 3 × 7

= 21

= 3 × 6 + 3 × 1

= 18 + 3

= 21

Thus, – True

(c) (25 – 5) × 4

= 20 × 4

= 80

= 25 × 4 + 5 × 4

= 100 + 20

= 120

∴ 80 ≠ 120

Hence, – False

(d) (9 × 8) × 0

= 72 × 0

= 0

= 9 × (8 × 0)

= 9 × 0

= 0

0 = 0

Therefore, – True

Question no – (4)

Solution :

(a) 250 × 40 × 38

= 10,000 × 38

= 38,000

(b) 8 × 125 × 693

= 1000 × 693

= 6, 93, 000

(c) 5 × 60 × 439

= 300 × 439

= 1,31700

(d) 2 × 50 × 8 × 125 × 4

= 100 × 1,000 × 4

= 4,00,000

Question number – (5)

Solution :

(a) 24598 × 159 – 24598 × 59

= 24598 (159 – 59)

= 24598 × 100

= 23,59,800

(b) 61725 (92 + 8)

= 61725 ( 92 + 8)

= 61725 × 100

= 6, 17,2500

Question number – (6)

Solution :

Greatest 4 digit number

= 9999

Greatest 3 digit number

= 999

= 9999 × 999

= 9999 × (1000 – 1)

= 9999000 – 9999

= 99,89,001

Question number – (7)

Solution :

Total × expenditure for dance

= 12 × 4500

= 12 × 1750

So, Now total expenditure for one given year

= 12 × 4500 + 12 + 1750

= 12 (4500 + 1750)

= 12 × 6250

= Rs 75,000

Natural Numbers and Whole Numbers Exercise 3C Solution :

Question no – (2)

Solution :

(a) 6 × 2 – 5 = 7

7 × 3 – 12 = 9

8 × 4 – 21 = 9

9 × 5 – 32 = 13

10 × 6 – 45 = 15

(b) 5 × 11 = 55

55 × 101 = 5555

555 × 1001 = 5,55,555

5555 × 10,001 = 5,55,55,555

55555 × 100001 = 5,55,55,55,555

Question number – (3)

Solution :

8 × 1 + 1 = 9 = 3 × 3

8 × 3 + 1 = 25 = 5 × 5

8 × 6 + 1 = 49 = 7 × 7

8 + 10 + 1 = 81 = 9 × 9

8 × 15 + 1 = 121 = 11 × 11

8 × 21 + 1 = 169 = 13 × 13

8 × 28 + 1 = 225 = 15 × 15

(121 – 1) = 120 = 120 ÷ 8 = 15

(169 – 1) = 168 ÷ 8 = 21

(225 – 1) = 224 ÷ 8 = 28

Chapter 3 Review Time Questions Solution :

Multiple Choice Questions :

Question no – (1)

Solution :

= 22 – 18

= 4

Correct option – (a) 4

Question no – (2)

Solution :

= 16 + _____ = 7 + 16

= 16 + 7

= 7 + 16

Correct option – (c) 7

Question no – (3)

Solution :

1 is the multiplicative identity of whole numbers while 0 is the additive identity of whole numbers.

Correct option – (a)

Question no – (4)

Solution :

Correct option – (a)

Multiplicative identity is always true for both for whole numbers and natural numbers.

Question no – (5)

Solution :

Correct option – (b)

The predecessor of the greatest 4-digit number is 9998

Question no – (6)

Solution :

Correct option – (b)

Zero Multiplied by any whole number is 0

Question no – (7)

Solution :

Correct option – (b)

Zero divided by any natural number is 0

Question no – (8)

Solution :

Correct option – (b)

= 0 × 1

= 0

Question no – (9)

Solution :

Correct option – (d)

Multiplication is distributive over addition for whole numbers.

Next Chapter Solution :

Updated: June 21, 2023 — 9:16 am