BlogNCERTNCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Exercise 2.3

NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers Exercise 2.3

 

Exercise 2.3

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    Ex 2.3 Class 6 Maths Question 1.
    Which of the following will not represent zero:
    (a) 1 + 0
    (b) 0 x 0
    (c) \(\frac { 0 }{ 2 }\)
    (d) \(\frac { 10-10 }{ 2 }\)
    Solution:
    (a) 1 + 0 = 1 ≠ 0, does not represent zero.
    (b) 0 x 0 = 0, represents zero
    (c) \(\frac { 0 }{ 2 }\) = 0, represents zero.
    (d) \(\frac { 10-10 }{ 2 }\) = \(\frac { 0 }{ 2 }\) = 0 represents 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:
    Yes, Examples:
    5 x 0 = 0
    0 x 8 = 0
    0 x 0 = 0

    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:
    This is only true, when each of the number are 1.
    1 x 1 = 1

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

    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:
    Step I: 123456 x 8 + 6 = 987654
    Step II: 1234567 x 8 + 7 = 9876543

    Working pattern:
    (1) x 8 + 1 = 9
    (12) x 8 + 2 = (11 + 1) x 8 + 2 = 98
    (123) x 8 + 3 = (111 + 11 + 1) x 8 + 3 = 987
    (1234) x 8 + 4 = (1111 + 111 + 11 + 1) x 8 + 4 = 9876
    (12345) x 8 + 5 = (11111 + 1111 + 111 + 11 + 1) x 8 + 5 = 98765

     

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