Question

The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after:

• A. One decimal place
• B. Two decimal places
• C. Three decimal places
• D. Four decimal places

Answer 1

The correct option is D

Four decimal places

Step 1: Given, the rational number $\frac{14587}{1250}$.

Step 2:Converting a rational number into a decimal:

Using the long division method, we get

$$\begin{gathered} \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\ 1250)14587(11.6696 \\ -1250 \\ \_\_\_\_\_\_\_ \\ 2087 \\ -1250 \\ \_\_\_\_\_\_\_ \\ 8370 \\ -7500 \\ \_\_\_\_\_\_ \\ 12000 \\ -11250 \\ \_\_\_\_\_\_ \\ 7500 \\ -7500 \\ \_\_\_\_\_ \\ 0 \end{gathered}$$

There are 4 decimal places.

Hence, the option (D) is the correct option