Question

Name the rational numbers from the list below.
negative 8​, 0​, 9​, 9.78​, StartRoot 3 EndRoot​, StartRoot 36 EndRoot​, 6one fourth
​,minusfive thirds
​, 1.3737737773...
Question content area bottom
Part 1
What are the rational numbers​? Select all that apply.
A.0
0
B.
1.3737737773...
C.minus five thirds
minusfive thirds
D.StartRoot 36 EndRoot
StartRoot 36 EndRoot
E.6 one fourth
6one fourth
F.9.78
9.78
G.StartRoot 3 EndRoot
StartRoot 3 EndRoot
H.9
9
I.negative 8
negative 8

Answer 1

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Here’s the evaluation of the options from your list:

A. **0** - Rational (0 can be expressed as 0/1)
B. **1.3737737773...** - Irrational (it is a non-terminating, non-repeating decimal)
C. **-5/3** - Rational
D. **√36** - Rational (√36 = 6)
E. **6 1/4** - Rational (can be expressed as 25/4)
F. **9.78** - Rational (can be expressed as 978/100)
G. **√3** - Irrational (it is a non-terminating, non-repeating decimal)
H. **9** - Rational (can be expressed as 9/1)
I. **-8** - Rational (can be expressed as -8/1)

Therefore, the rational numbers from the list are:
- A. 0
- C. -5/3
- D. √36
- E. 6 1/4
- F. 9.78
- H. 9
- I. -8