NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Ex 2.3

# NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Ex 2.3

## NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Ex 2.3

NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Ex 2.3 are the part of NCERT Solutions for Class 6 Maths. Here you can find the NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Ex 2.3.

### Ex 2.3 Class 6 Maths Question 1.

Which of the following will not represent zero:
(a) 1 + 0
(b) 0 × 0
(c) 0/2
(d) (1010)/2

Solution:
(a) 1 + 0 = 1 ≠ 0, it does not represent zero.
(b) 0 × 0 = 0, it represents zero.
(c) 0/2 = 0, it represents zero.
(d) (1010)/2 = 0/2 = 0, it represents zero.

### Ex 2.3 Class 6 Maths Question 2.

If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.

Solution:
Yes.

Examples:
15 × 0 = 0
0 × 28 = 0
0 × 0 = 0

### Ex 2.3 Class 6 Maths Question 3.

If the product of two whole numbers is 1, can we say that one or both of them will be 1? Justify through examples.

Solution:
No.

This is true only, when each of the whole numbers is 1.

Examples:
12 × 1 = 12
1 × 23 = 23
1 × 1 = 1

### Ex 2.3 Class 6 Maths Question 4.

Find using distributive property:
(Ð°) 728 × 101
(b) 5437 × 1001
(c) 824 × 25
(d) 4275 × 125
(e) 504 × 35

Solution:
(a) 728 × 101 = 728 × (100 + 1)
= 728 × 100 + 728 × 1
= 72800 + 728
= 73528

(b) 5437 × 1001 = 5437 × (1000 + 1)
= 5437 × 1000 + 5437 × 1
= 5437000 + 5437
= 5442437

(c) 824 × 25 = 824 × (20 + 5)
= 824 × 20 + 824 × 5
= 16480 + 4120
= 20600

(d) 4275 × 125 = 4275 × (100 + 20 + 5)
= 4275 × 100 + 4275 × 20 + 4275 × 5
= 427500 + 85500 + 21375
= 534375

(e) 504 × 35 = (500 + 4) × 35
= 500 × 35 + 4 × 35
= 17500 + 140
= 17640

### Ex 2.3 Class 6 Maths Question 5.

Study the pattern:
1 × 8 + 1= 9
12 × 8 + 2 = 98
123 × 8 + 3 = 987
1234 × 8 + 4 = 9876
12345 × 8 + 5 = 98765
Write the next two steps. Can you say how the pattern works?

Solution:
Next two steps are:

123456 × 8 + 6 = 987654
1234567 × 8 + 7 = 9876543

Working pattern:
1 × 8 + 1 = 9
12 × 8 + 2 = (11 + 1) × 8 + 2 = 98
123 × 8 + 3 = (111 + 11 + 1) × 8 + 3 = 987
1234 × 8 + 4 = (1111 + 111 + 11 + 1) × 8 + 4 = 9876
12345 × 8 + 5 = (11111 + 1111 + 111 + 11 + 1) × 8 + 5 = 98765

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