NCERT Class 8 Solutions: Rational Numbers (Chapter 1) Exercise 1.1 – Part 2

Q-3 Verify that: (x)=x for.

  1. x=1115

  2. x=1317

Solution:

Given the additive Inverse law apply in equations

Given the Additive Inverse Law

Given the additive Inverse law apply in equations

  1. x=1115

    The additive inverse of x=1115 is x=1115

    As 1115+(1115)=0

    The same equality 1115+(1115)=0 , shows that the additive inverse of (1115)=1115

    There are (x)=x

  2. x=1317

    The additive inverse of x=1317 is x=1317

    As (1317)+1317=0

    The same equality (1317)+1317=0 shows that the additive inverse of 1317=(1317)

    There are (x)=x

Q-4 Find the multiplicative inverse of the following.

  1. 13

  2. 1319

  3. 15

  4. 58×37

  5. 1×25

  6. 1

Solution:

Given the Multiplicative Inverse law apply in equations

Given the Multiplicative Inverse Law

Given the Multiplicative Inverse law apply in equations

  1. 13

    Multiplicativeinverse=113

  2. 1319

    Multiplicativeinverse=1913

  3. 15

    Multiplicativeinverse=5

  4. 58×37

    58×37=1556=1556

    Multiplicativeinverse=5615

  5. 1×25

    1×25=25

    Multiplicativeinverse=52

  6. 1

    Multiplicativeinverse=1

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