Question

What is the decimal equivalent of -9/10? Use the negative fractions -9/10 and -1/3.

a. Find the decimal equivalents for each fraction.
b. Which is a repeating decimal? Which digit is repeating?

Options:
A. -0.9
B. -0.9
C. -0.99
D. -0.1

Answer 1

The decimal equivalent of -9/10 is -0.9, and it is not a repeating decimal. The fraction -1/3 results in the repeating decimal -0.333..., with the digit '3' repeating.

Step-by-step explanation:

To find the decimal equivalent of -9/10, you simply divide 9 by 10 and then apply the negative sign, giving you -0.9. Therefore, the decimal equivalent of -9/10 is -0.9. For the fraction -1/3, when you divide 1 by 3, you get a repeating decimal, which is -0.333... with the 3 repeating indefinitely.

In terms of the options provided:

• Option A indicates -0.9 which is the decimal equivalent of -9/10 and is not a repeating decimal.
• There is no option that corresponds to the decimal equivalent of -1/3 (-0.333...), but the question asks which digit is repeating, so we acknowledge that the digit '3' is the one that repeats.