Question

Represent the rational number -8/17,13/38,2/5 on the number line

Answer 1

1. Add the following:

(i) 4 / 7 and 5 / 7

(ii) 7 / – 13 and 4 / – 13

Solution:

(i) Given

4 / 7 and 5 / 7

Adding both the numbers

4 / 7 + 5 / 7 = (4 + 5) / 7

We get,

= 9 / 7

∴ The addition of 4 / 7 and 5 / 7 is 9 / 7

(ii) Given

7 / – 13 and 4 / – 13

Consider

7 / – 13 = {7 × (-1)} / {- 13 × (-1)}

= – 7 / 13

Also,

4 / – 13 = {4 × (-1)} / {- 13 × (-1)}

= – 4 / 13

Now,

Adding both the numbers

(7 / – 13) + (4 / – 13) = (- 7 – 4) / 13

We get,

= – 11 / 13