Question

Which number is a rational, terminating decimal?(1 point)Responses64−−√square root of 64 5/11 0.363636...0.363636...79

Answer 1

A rational, terminating decimal is a decimal number that ends after a certain number of digits and can be expressed as a fraction where both the numerator and the denominator are integers.

Let's evaluate the options provided:

1. \( \sqrt{64} = 8 \) - This is a whole number and can also be expressed as a decimal (8.0), so it is a rational, terminating decimal.

2. \( \frac{5}{11} \) - This fraction produces a repeating decimal (approximately 0.454545...), which is not a terminating decimal.

3. \( 0.363636... \) - This is a repeating decimal (the '36' repeats), so it is also not a terminating decimal.

4. \( 79 \) - This is a whole number and can be expressed as a decimal (79.0), so it is a rational, terminating decimal.

Both \( \sqrt{64} \) (8) and \( 79 \) are rational, terminating decimals. However, if you need to choose only one of them, you would typically indicate \( 79 \) as it's the more common representation when referring to terminating decimals.

If the question expects a single answer, then either \( 8 \) or \( 79 \) can be correct, but they both satisfy the condition of being rational and terminating.