NCERT Class 6 Mathematics Second Chapter Whole Numbers Exercise 2.3 Solutions

EXERCISE 2.3

(1) Which of the following will not represent zero:

(a) 1 + 0

(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.

Ans: Yes

(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.

Ans: Both of them will be 1.

(4) Find using distributive property:

(a) 728 × 101

= 728 × (100 + 1)

= 728 × 100 + 728 × 1

= 72800 + 728

= 73,528

(b) 5437 × 1001

= 5437 × (1000 + 1)

= 5437 × 1000 + 5437 × 1

= 5437000 + 5437

= 54,42,437

= 824 × (20 + 5)

= 824 × 20 + 824 × 5

= 16480 + 4120

= 20,600

(d) 4275 × 125

= 4275 × (100 + 10 + 10 + 5)

= (4275 × 100) + (4275 × 10) + (4275 × 10) + (4275 × 5)

= 427500 + 42750 + 42750 + 21375

= 5,34,375

(e) 504 × 35

= 504 × (10 + 10 + 10 + 5)

= (504 × 10) + (504 × 100) + (504 × 10) + (504 × 5)

= 5040 + 5040 + 5040 + 2520

= 17,640

(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? (Hint: 12345 = 11111 + 1111 + 111 + 11 + 1)

Ans: 123456 × 8 + 6 = 987654

1234567 × 8 + 7 = 9876543