# Here we have given NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Ex 2.3.

• Whole Numbers Class 6 Ex 2.1
• Whole Numbers Class 6 Ex 2.2
 Board CBSE Textbook NCERT Class Class 6 Subject Maths Chapter Chapter 2 Chapter Name Whole Numbers Exercise Ex 2.3 Number of Questions Solved 5 Category NCERT Solutions

## 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) a + 0
(b) 0 x 0
(c) $\frac { 0 }{ 2 }$
(d) $\frac { 10-10 }{ 2 }$
Solution:
(a) 1 + 0 = 1 ≠ 0
(b) 0 x 0 = 0
(c)$\frac { 0 }{ 2 } =0\times \frac { 1 }{ 2 } =0$
(d) $\frac { 10-10 }{ 2 } =\frac { 0 }{ 2 } =0\times \frac { 1 }{ 2 } =0$
Thus, only (a) does not represent 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:
We know that the product of any whole number and zero is always zero i. e., a x 0 = 0, where a is any whole number.

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:
We know that if a is any whole number, then
a x l = a -1 x a
∴ Clearly a must be = 1
Thus, both the numbers should be 1 i. e., 1 x 1 = 1

Ex 2.3 Class 6 Maths Question 4.
Find by using distributive property :
(a) 728 x 101
(b) 5437 x 1001
(c) 824 x 25
(d) 4275 x 125
(e) 504 x 35
Solution:

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:
Write the next two steps :
123456 x 8 + 6 = 987654
1234567×8 + 7 = 9876543
How the pattern works?
1 x8 + 1= 9
(11 + 1) x 8 + 2 = 12 x 8 + 2 = 98
(111 + 11 + 1) x 8 + 3 = 123 x 8 + 3 = 987 .
(1111 + 111 + 11 + 1) x 8 + 4 =1234 x 8 + 4 =9876
(11111 + 1111 + 111 + 11 + 1) x 8 + 5
= 12345 x 8 + 5=98765
(111111 + 11111 + 1111 + 111 + 11 + 1) x 8+ 6
= 123456 x 8 + 6 = 987654
and (1111111 + 111111 + 11111 +1111 +111 +11 +1) x 8 + 7
= 1234567 x 8 + 7 = 9876543

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