Question

experss each of the following decimal numbers in p/q form. 1) 0.5 bar, 2) 3.8 bar​

Answer 1

Express each of t

Class 9th

AP- Mathematics

1. Real Numbers

Answer

(i). 0.5 = 5/10

Simplifying it in the same p/q form,

⇒ 0.5 = 1/2

It cannot be further simplified in p/q form.

1/2 is in the form p/q, where p = 1 and q = 2 are integers and q = 2 ≠ 0.

Hence, the answer is 1/2.

(ii).

This has to be converted in p/q form.

Let

,

That is, x = 3.88888… …(i)

Multiply 10 on both sides,

10 × x = 10 × 3.88888…

⇒ 10x = 38.8888… …(ii)

Subtracting equations (i) from (ii), we get

10x – x = 38.8888… - 3.88888…

⇒ 9x = 35

⇒ x = 35/9

35/9 is in the form of p/q, where p = 35 and q = 9 are integers and q = 9 ≠ 0.

Thus,

.