select the correct description for each number.

8/9 is (response area) and a (response area) decimal.
49V--(square root of 49) is (response area) and a (response area) decimal.
-0.071625 is (response area) and a (response area) decimal.
1/4 is (response area) and a (response area) decimal.
-0.030303 is (response area) and a (response area) decimal.

responses
irrational
rational
repeating
terminating
non-terminating and non-repeating

1 answer

Here are the correct descriptions for each number:

  1. 8/9:

    • Response area: rational
    • Response area decimal: repeating (because 8/9 = 0.888...)
  2. 49 (the square root of 49 is 7):

    • Response area: rational
    • Response area decimal: terminating (because 7 is a whole number)
  3. -0.071625:

    • Response area: rational
    • Response area decimal: terminating (it has a finite number of decimal places)
  4. 1/4:

    • Response area: rational
    • Response area decimal: terminating (because 1/4 = 0.25)
  5. -0.030303:

    • Response area: rational
    • Response area decimal: repeating (because it's -0.030303... which can be written as -0.03 repeating)

So the complete descriptions would be:

  1. 8/9 is rational and a repeating decimal.
  2. 49 (square root of 49) is rational and a terminating decimal.
  3. -0.071625 is rational and a terminating decimal.
  4. 1/4 is rational and a terminating decimal.
  5. -0.030303 is rational and a repeating decimal.