Which phrase describes the decimal expansion of the following number?

Question

-5/6

A.
does not have a decimal expansion
B.
a non-terminating, non-repeating decimal
C.
a repeating decimal
D.
a terminating decimal

Answer 1

To determine the decimal expansion of \(-\frac{5}{6}\), let's first convert the fraction into its decimal form.

When we divide -5 by 6, we get:

\[ -\frac{5}{6} = -0.8333... \]

The decimal expansion continues without terminating and has a repeating part, which is "3".

Therefore, the correct description of the decimal expansion of \(-\frac{5}{6}\) is:

C. a repeating decimal