Question

Danielle claims that 7/8 is a rational number because it is a fraction whose decimal equivalent is a repeating decimal. Is Danielle's statement correct? Why or why not?

1) Danielle's statement is incorrect because the decimal equivalent of 7/8 is not a repeating decimal.
2) Danielle's statement is correct because the decimal equivalent of 7/8 is a repeating decimal.
3) Danielle's statement is correct because the decimal equivalent of 7/8 is not a repeating decimal.
4) Danielle's statement is incorrect because the decimal equivalent of 7/8 is a repeating decimal.

Answer 1

Danielle's statement is incorrect because the decimal equivalent of 7/8 is not a repeating decimal.

Step-by-step explanation:

Danielle's statement is incorrect because the decimal equivalent of 7/8 is not a repeating decimal.

To determine if a fraction is a rational number, we need to check if its decimal equivalent is a terminating decimal or a repeating decimal. A terminating decimal is a decimal that has a finite number of digits after the decimal point, while a repeating decimal has a pattern of digits that repeats indefinitely.

The decimal equivalent of 7/8 is 0.875. It is a terminating decimal because it has a finite number of digits after the decimal point. Therefore, Danielle's statement is incorrect.