Select the correct description for each number:(10 points)

Question

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