Question

Select the correct description for each number:(10 points)
a) 8/9
is
and a
decimal.

b) 49−−√
is
and a
decimal.

c) -0.071625... is
and a
decimal.

d) 1/4
is
and a
decimal.

e) -0.030303... is
and a
decimal.

Answer 1

Here are the correct descriptions for each number:

a) **8/9** is **a rational number** and a **non-terminating repeating decimal** (0.888...).

b) **√49** is **an irrational number** and a **terminating decimal** (7.0), since it equals 7.

c) **-0.071625...** is **a rational number** and a **non-terminating decimal** (it terminates at the sixth decimal place, but if it had continued indefinitely in a certain pattern, it would be classified differently).

d) **1/4** is **a rational number** and a **terminating decimal** (0.25).

e) **-0.030303...** is **a rational number** and a **non-terminating repeating decimal** (it can be expressed as -1/33).

So, summarizing:

a) Rational number, non-terminating repeating decimal
b) Irrational number, terminating decimal
c) Rational number, non-terminating decimal
d) Rational number, terminating decimal
e) Rational number, non-terminating repeating decimal