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/why not?

a) danielle's statement is incorrect because the decimal equivalent of 7/8 is not a repeating decimal.
b) danielle's statement is correct because the decimal equivalent of 7/8 is a repeating decimal.
c) danielle's statement is correct because the decimal equivalent of 7/8 is not a repeating decimal.
d) 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 whether a fraction is rational, we need to check if its decimal equivalent is either a terminating decimal or a repeating decimal. In the case of 7/8, its decimal equivalent is 0.875, which is a terminating decimal. It does not repeat any digit or pattern indefinitely.