Question

8. Express each of the following decimal numbers in
р/q
form
q
ii) 3.8
iii) 0.36
iv) 3.127
i) 0.5​

Answer 1

i)0.5=5/10
ii)3.8=38/10
iii)0.36=36/100
iv)3.127=3127/1000

Answer 2

Answer:

How to form decimal numbers in p/q form?

We know that there are three types of decimal expansions.

1. Terminating decimals

2. Non- terminating repeating

3. Non terminating Non- repeating

1. Terminating-

We need just to remove the decimal point, and divide as many zero as the number of digits after decimal.

2. Non terminating non  repeating-

We know that non terminating, non repeating numbers are irrational numbers. and they cannot be expressed as p/q.

Now lets go on to your question.

1. 3.8-

3.8= 3 4/5

Rewrite the decimal number as a fraction with 1 in the denominator and Multiply to remove 1 decimal places. Here, you multiply top and bottom by 10 power1 = 10.

2. 0.36

0.36=9 2/5

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10 power2 = 100.

3. 3.127

3.127=3  127/1000

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10 power 3 = 1000

4. 0.5

0.5=1/2

Multiply to remove 1 decimal places. Here, you multiply top and bottom by 10 power 1 = 10

Hope it helps you..

Step-by-step explanation: