Question

In which pair do both decimals represent rational numbers?

O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...

Answer 1

Answer:D

O D. 0.684 and 0.1222...

Answer 2

Option (B)

Explanation:

Properties of a rational number:

1). A decimal number which has the repeating numbers after decimal is a rational number.

Example: 2.134134134......

Here 134 is repeating after decimal so the number is a rational number.

2). A decimal number which can be written as a fraction is a rational number.

Example: 0.25 =
`(1)/(4)`

Here 0.25 can be written as a fraction
`(1)/(4)` therefore, its a rational number.

In the given options,

Option A

No repeating numbers in first number therefore its an irrational numbers.

Option B

0.684 =
`(171)/(250)`

Option C

First number is an irrational number.

Option D

First number is an irrational number.

Therefore, Option (B) is the answer.