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**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 :**

**(a)** Addition commutative

**(b)** Multiplication Commutative

**(c)** Distributive property

**(d)** Associative of addition

**(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

Total expenditure for badminton

= 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 :**

👉 Chapter 4 👈