Question

Select the correct description for each number:(10 points)
a) 89 is
Rational
and a
terminating
decimal.

b) 49−−√ is
Rational
and a
terminating
decimal.

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

d) 14 is
and a
decimal.

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

Answer 1

Here's the correct description for each number:

a) **89 is** **Rational** **and a** **terminating** **decimal.**
- Explanation: 89 can be expressed as 89.0, which terminates.

b) **√49 (which is 7) is** **Rational** **and a** **terminating** **decimal.**
- Explanation: The square root of 49 is 7, which can be written as 7.0, thus it is rational and terminating.

c) **-0.071625... is** **Rational** **and a** **terminating** **decimal.**
- Explanation: -0.071625 is a decimal that terminates, and it can be expressed as a fraction (-71625/1000000).

d) **14 is** **Rational** **and a** **terminating** **decimal.**
- Explanation: 14 can be written as 14.0, which is also terminating.

e) **-0.030303... is** **Rational** **and a** **repeating** **decimal.**
- Explanation: This decimal repeats the pattern "03" continuously, which means it is a repeating decimal.

Summary:
- a) Rational and terminating
- b) Rational and terminating
- c) Rational and terminating
- d) Rational and terminating
- e) Rational and repeating