Using appropriate properties, find.

Q 2.

Write the additive inverse of each of the following.

Q 3.

Verify that –(–x) = x for

(i) x = 11/15 (ii) x = −13/17.

Q 4.

Find the multiplicative inverse of the following.

Q 5.

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

Q 6.

Multiply 6/13 by the reciprocal of −7/16

SOLUTION:Q 7.

Tell what property allows you to compute

Q 8.

SOLUTION:

Q 9.

SOLUTION:

Q 10.

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.

(i) 0 is the rational number, which does not have a reciprocal.

(ii) 1 and (–1) are the rational numbers, that are equal to their reciprocals.

(iii) 0 is 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 reciprocals of –5 is ............. .

(iv) Reciprocal of 1x, where x ≠ 0 is ......... .

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

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

(i) Zero have no reciprocal.

(ii) The numbers 1 and –1 are their own reciprocals.

(iii) The reciprocal of –5 is −1/5.

(iv) Reciprocal of 1/x, where x ≠ 0 is x.

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

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

Represent these numbers on the number line.

(i) 7/4 (ii) −5/6

Q 13.

Represent −2/11,5/11,9/11 on the number line.

SOLUTION:Q 14.

Write five rational numbers which are smaller than 2.

SOLUTION:Q 15.

Find ten rational numbers between −2/5 and 1/2.

SOLUTION:Q 16.

Find five rational numbers between

SOLUTION:Q 17.

Write five rational numbers greater than –2.

SOLUTION:Q 18.

Find ten rational numbers between 3/5 and 3/4.

SOLUTION: