Question

Express each of the following decimal in the p/q form. i. 0.57 ii. 0.176 iii. 1.00001 iv. 25.125

Answer 1

I. 0.57
= 57/100

2. 0.176
= 176/1000

3. 1.00001
= 100001/100000

4. 25.125
= 25125/1000

Answer 2

According to the problem given,

All are terminating decimals.

¡ ) 0.5 = 0.5×(100)/(100)

= 57/100.

¡¡ ) 0.176 = 0.176×(1000)×(1000)

= 176/1000

= 22/25.

¡¡¡ ) 1.00001 = 1.00001×(100000)/(100000)

= 100001/100000.

¡v ) 25.125 = 25.125×(1000)/(1000)

= 25125/1000.

Hope the answer is useful.