Which number is a rational, terminating decimal?

options:

√64

5 over 11

0.363636...

7 over 9

1 answer

A rational terminating decimal is a decimal number that ends after a certain number of digits. Let's evaluate each option:

  1. √64: The square root of 64 is 8, which is a whole number and can be represented as 8.0. Therefore, this is a rational, terminating decimal.

  2. 5 over 11 (5/11): When you divide 5 by 11, you get a repeating decimal (0.454545...), which does not terminate.

  3. 0.363636...: This is also a repeating decimal (0.36 repeating), which does not terminate.

  4. 7 over 9 (7/9): Dividing 7 by 9 results in a repeating decimal (0.7777...), which again does not terminate.

The only option that qualifies as a rational, terminating decimal is √64, which equals 8.