Question

Which number is a rational, terminating decimal?(1 point)
Responses

79
7 ninths

0.363636...
0.363636...

511
5 over 11

64−−√

Answer 1

A rational, terminating decimal is a decimal that ends after a certain number of digits and can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator contains no prime factors other than 2 or 5.

Let's evaluate the options given:

1. **79** - This is a rational number and can also be written as the decimal 79.0, which is terminating.

2. **7 ninths (7/9)** - This is a rational number but its decimal representation is 0.777..., which is repeating, not terminating.

3. **0.363636...** - This is a repeating decimal (it keeps repeating "36"), so it is not terminating.

4. **511** - This is a rational number and can also be written as the decimal 511.0, which is terminating.

5. **5 over 11 (5/11)** - This is a rational number but its decimal representation is approximately 0.454545..., which is repeating, not terminating.

6. **64−−√ (the square root of 64)** - This equals 8, which is a rational number and can also be written as the decimal 8.0, which is terminating.

Based on this analysis, the options that are rational and terminating decimals are **79**, **511**, and **8** (or \( \sqrt{64} \)).

Since the question asks for just one answer, and pointing out that both 79 and 511 are terminating, you can choose either of these. If only selecting one option, **79** is a clear answer.