Question

Convert 8.132132132 to a rational expression in the form of where b ≠ 0.

Answer 1

You've been given the answer - but I'll provide one method:

Let x = 8.132132132....

1000x = 8132.132132132.... (It's a repeating decimal)

999x = 8124 (1000x - x, repeating decimals cancel)

x = 8124/999 (Divide by 999)

I hope my answer has come to your help. God bless and have a nice day ahead!

Answer 2

Answer:

$\text{The rational form is }\frac{8124}{999}$    

Step-by-step explanation:

Given the number 8.132132....

we have to convert the above number to a rational expression.

$\text{Let x=}8.132132.....$  → (1)

Multiply by 1000 on both sides

$1000x=8132.132132...$    →  (2)

Subtracting equation (1) from equation (2), we get

$999x=8124$

Divide throughout by 999, we get

$x=\frac{8124}{999}$

which is required rational form.