Question

Represent the following terminating decimal in the form of a rational number `bb(("in fraction form" p/q)`:

3.125

Answer 1

Given: 3.125

Step-wise calculation:

1. Express 3.125 as a fraction with denominator as a power of 10 since 3.125 is a terminating decimal with 3 decimal places:

`3.125 = 3125/1000`

2. Simplify the fraction `3125/1000`: 

Divide numerator and denominator by 125:

`(3125 ÷ 125)/(1000 ÷ 125) = 25/8`

`3.125 = 25/8`

So, the terminating decimal 3.125 as a rational number in the form `p/q` is `25/8`.