Question

let x=7/20×25 be a rational number.then x has decimal expansion ,which terminates. a.after four places of decimal b.after 3 places of decimal c. after 2 places are decimal d. after 5 places are decimal​

Answer 1

Answer:

The decimal expansion terminates after 2 place of decimals.

Step-by-step explanation:

Consider the provided number.

$x=\frac{7}{20}\times25$

The number 20 can be written as: 2 × 2 × 5.

The number 25 can be written as: 5 × 5.

Therefore,

$x=\frac{7}{2\times 2 \times 5}\times(5\times 5)$

$x=\frac{7}{2\times 2}\times 5$

$x=\frac{35}{4}$

$x=8.75$

Hence, the decimal expansion terminates after 2 place of decimals.

Answer 2

Answer:

2 places

Step-by-step explanation:

$= 27\20 \times 25 \\ = \ \frac{7}{20} \times 25 \\ \\ = \frac{7}{4} \times 5 \\ \\ = \frac{35}{4} \\ \\ = 8.75$