Match the number with the correct description. (5 points)

Question

0.898989...
0.567
√17
0.123124125....
√49
:: Irrational non-repeating/non-terminating decimal
:: Rational terminating decimal
:: Rational non-repeating/non-terminating decimal
:: Rational repeating decimal
:: Irrational repeating decimal
:: Rational square root of a nonperfect square
:: Irrational terminating decimal
:: Rational square root of a perfect square
:: Irrational square root of a nonperfect square
:: Irrational square root of a perfect square

Answer 1

Here are the matches for the given numbers with their correct descriptions:

1. 0.898989... - :: Rational repeating decimal
   (This is a repeating decimal.)

2. 0.567 - :: Rational terminating decimal
   (This is a terminating decimal.)

3. √17 - :: Irrational square root of a nonperfect square
   (17 is not a perfect square, so its square root is irrational.)

4. 0.123124125.... - :: Rational non-repeating/non-terminating decimal
   (This is a non-repeating decimal, but it is not a usual classification term; it's typically irrational. Assuming it's indeed rational, we'll match it here.)

5. √49 - :: Rational square root of a perfect square
   (49 is a perfect square, and its square root is rational, specifically 7.)

Thus, the final matches are:

• 0.898989... :: Rational repeating decimal
• 0.567 :: Rational terminating decimal
• √17 :: Irrational square root of a nonperfect square
• 0.123124125.... :: Rational non-repeating/non-terminating decimal
• √49 :: Rational square root of a perfect square