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You are here: Home / NCERT Solutions / Class 6 / Maths / Chapter 2 Whole Numbers / Exercise 2.3

Exercise 2.3

Last Updated on June 19, 2019 By Mrs Shilpi Nagpal Leave a Comment

Class 6 | Mathematics | Chapter 2| Whole Numbers | Exercise 2.3

Question 1: Which of the following will not represent zero:
(a) 1 + 0
(b) 0 x 0
(c) 0 ÷ 2
(d) (10- 10)/2

Answer: (a) [1 + 0 is equal to 1]
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.
Answer 2: Yes, if we multiply any number with zero the resultant product will be zero.
Example: 2 x 0 = 0,
5 x 0 = 0,
9 x 0 = 0
If both numbers are zero, then the result also be zero. 0 x 0 = 0

Question 3: If the product of two whole number is 1, can we say that one or both of them will be 1? Justify through examples.

Answer: If only one number be 1 then the product cannot be 1.
Examples: 5 x 1 = 5,
4 x 1 = 4, 8 x 1 = 8
If both number are 1, then the product is 1 1 x 1 = 1

Question 4: Find using distributive property:
(a) 728 x 101
(b) 5437 x 1001
(c) 824 x 25
(d) 4275 x 125
(e) 504 x 35

Answer: (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

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?

Answer: 123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
Pattern works like this:
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
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9875643

Filed Under: Chapter 2 Whole Numbers, Class 6, Maths, NCERT Solutions

About Mrs Shilpi Nagpal

Author of this website, Mrs Shilpi Nagpal is MSc (Hons, Chemistry) and BSc (Hons, Chemistry) from Delhi University, B.Ed (I. P. University) and has many years of experience in teaching. She has started this educational website with the mindset of spreading Free Education to everyone.

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