NCERT Solutions Class 6 Mathematics Whole Numbers Ex 2.3

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