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Questions and Solutions for NCERT Class 6th Mathematics Chapter 2 Whole Numbers – Exercise 2.3
1. Which of the following will not represent zero:
(a) 1 + 0 (b) 0 × 0 (c) 0/2 (d) (10 – 10)/2
Sol: (a) 1 + 0 = 1, So it will not represent zero
(b) 0 × 0 = 0
(c) 0/2 = 0
(d) (10 – 10 )/0 = 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, if we multiply any number with zero the answer will be zero.
For example – 2 ×0 = 0
55 × 0 = 0
If both the numbers are zero then the product will also be zero
0 × 0 = 0
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: The product of two whole numbers is 1, if both the numbers are 1
1 × 1 = 1
If only one of them is one the product cannot be 1
For example:
1 × 5 = 5
1 × 89 = 89
4. Find using distributive property :
(a) 728 × 101
Sol: 728 × 101
= 728 × (100 + 1)
= 728 × 100 + 728 × 1
= 72800 + 728
= 73528
(b) 5437 × 1001
Sol: 5437 × 1001
= 5437 × (1000 + 1)
= 5437 × 1000 + 5437 × 1
= 5437000 + 5437
= 5442437
(c) 824 × 25
Sol: 824 × (20 + 5)
= 824 × 20 + 824 × 5
= 16480 + 4120
= 20600
(d) 4275 × 125
Sol: 4275 × 125
= 4275 × (100 + 20 + 5)
= 4275 × 100 + 4275 × 20 + 4275 × 5
= 427500 + 85500 + 21375
= 534375
(e) 504 × 35
Sol: 504 × 35
= (500 + 4) × 35
= 500 × 35 + 4 × 35
= 17500 + 140
= 17640
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).
Sol: The next two steps of the pattern are:
123456 × 8 + 6 = 987654
1234567 × 8 + 7 = 9876543
The pattern works like this:
1 × 8 + 1 = 9
12 × 8 + 2 = 98
123 × 8 + 3 = 987
1234 × 8 + 4 = 9876
12345 × 8 + 5 = 98765
123456 × 8 + 6 = 987654
1234567 × 8 + 7 = 9876543
