Here are the correct descriptions for each number:
-
8/9:
- Response area: rational
- Response area decimal: repeating (because 8/9 = 0.888...)
-
49 (the square root of 49 is 7):
- Response area: rational
- Response area decimal: terminating (because 7 is a whole number)
-
-0.071625:
- Response area: rational
- Response area decimal: terminating (it has a finite number of decimal places)
-
1/4:
- Response area: rational
- Response area decimal: terminating (because 1/4 = 0.25)
-
-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:
- 8/9 is rational and a repeating decimal.
- 49 (square root of 49) is rational and a terminating decimal.
- -0.071625 is rational and a terminating decimal.
- 1/4 is rational and a terminating decimal.
- -0.030303 is rational and a repeating decimal.