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

**Exercise 2.3**

Ex 2.3 Class 6 Maths Question 1.

Which of the following will not represent zero:

(a) 1 + 0

(b) 0 x 0

(c) (frac { 0 }{ 2 })

(d) (frac { 10-10 }{ 2 })

Solution:

(a) 1 + 0 = 1 ≠ 0, does not represent zero.

(b) 0 x 0 = 0, represents zero

(c) (frac { 0 }{ 2 }) = 0, represents zero.

(d) (frac { 10-10 }{ 2 }) = (frac { 0 }{ 2 }) = 0 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:

5 x 0 = 0

0 x 8 = 0

0 x 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:

This is only true, when each of the number are 1.

1 x 1 = 1

Ex 2.3 Class 6 Maths Question 4.

Find using distributive property:

(а) 728 x 101

(b) 5437 x 1001

(c) 824 x 25

(d) 4275 x 125

(e) 504 x 35

Solution:

(a) 728 x 101 = 728 x (100 + 1)

= 728 x 100 + 728 x 1

= 72800 + 728

= 73528

(b) 5437 x 1001 = 5437 x (1000 + 1)

= 5437 x 1000 + 5437 x 1

= 5437000 + 5437

= 5442437

(c) 824 x 25 = 824 x (20 + 5)

= 824 x 20 + 824 x 5

= 16480 + 4120

= 20600

(d) 4275 x 125 = 4275 x (100 + 20 + 5)

= 4275 x 100 + 4275 x 20 + 4275 x 5

= 427500 + 85500 + 21375

= 534375

(e) 504 x 35 = (500 + 4) x 35

= 500 x 35 + 4 x 35

= 17500 + 140

= 17640

Ex 2.3 Class 6 Maths Question 5.

Study the pattern:

1 x 8 + 1= 9

12 x 8 + 2 = 98

123 x 8 + 3 = 987

1234 x 8 + 4 = 9876

12345 x 8 + 5 = 98765

Write the next two steps. Can you say how the pattern works?

Solution:

Step I: 123456 x 8 + 6 = 987654

Step II: 1234567 x 8 + 7 = 9876543

Working pattern:

(1) x 8 + 1 = 9

(12) x 8 + 2 = (11 + 1) x 8 + 2 = 98

(123) x 8 + 3 = (111 + 11 + 1) x 8 + 3 = 987

(1234) x 8 + 4 = (1111 + 111 + 11 + 1) x 8 + 4 = 9876

(12345) x 8 + 5 = (11111 + 1111 + 111 + 11 + 1) x 8 + 5 = 98765

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