Question

Which of the following are rational numbers? Select all correct answers.

Select all that apply:
A) Square root of 2
B) -0.0202020202 ...
C) -0.7878878887 ...
D) -10/92
E) -0.7070070007

Answer 1

The rational numbers among the given options are -0.0202020202..., -0.7878878887..., -10/92, and -0.7070070007.

Step-by-step explanation:

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

From the given options, the rational numbers are:

1. Square root of 2 is an irrational number, as it cannot be expressed as a fraction or quotient of two integers.
2. -0.0202020202... is a rational number because it can be expressed as -0.02 repeating, or -2/99.
3. -0.7878878887... is a rational number because it can be expressed as -7/9.
4. -10/92 is a rational number because it is already expressed as the quotient of two integers.
5. -0.7070070007 is a rational number because it can be expressed as -707/1001.

Therefore, the correct answers are B, C, D, and E.