Solution of Chapter 1. Rational Numbers (NCERT - Mathematics Book)

Using appropriate properties find.

(i)

(ii)

Write the additive inverse of each of the following.

(i)

(ii)

(iii)

(iv)

(v)

Verify that -(-x)=x for.

(i) 

(ii) 

Find the multiplicative inverse of the following.

(i) -13

(ii)

(iii)

(iv)

(v)

(vi) -1

Name the property under multiplication used in each of the following.

(i)

(ii)

(iii)

Multiply by the reciprocal of

Tell what property allows you to compute as

Is the multiplicative inverse of Why or why not?

Is 0.3 the multiplicative inverse of Why or why not?

Write.

(i) The rational number that does not have a reciprocal.

(ii) The rational numbers that are equal to their reciprocals.

(iii) The rational number that is equal to its negative.

Fill in the blanks.

(i) Zero has ________ reciprocal.

(ii) The numbers ________ and ________ are their own reciprocals.

(iii) The reciprocal of – 5 is ________.

(iv) Reciprocal of where is ________.

(v) The product of two rational numbers is always a _______.

(vi) The reciprocal of a positive rational number is ________.

Represent these numbers on the number line.

(i)

(ii)

Represent on the number line.

Write five rational numbers which are smaller than 2.

Find ten rational numbers between and

Find five rational numbers between.

(i)

(ii)

(iii)

Write five rational numbers greater than –2.

Find ten rational numbers between and