Question

Name the rational numbers from the list below.
negative 18​, 0​, 30​, 7.88​, StartRoot 2 EndRoot​, StartRoot 16 EndRoot​, 8one eighth
​,minusone fifth
​, 1.4646646664...
Question content area bottom
Part 1
What are the rational numbers​? Select all that apply.
A.StartRoot 16 EndRoot
StartRoot 16 EndRoot
B.7.88
7.88
C.0
0
D.StartRoot 2 EndRoot
StartRoot 2 EndRoot
E.
1.4646646664...
F.8 one eighth
8one eighth
G.minus one fifth
minusone fifth
H.30
30
I.negative 18
negative 18

Answer 1

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. They can be represented as terminating or repeating decimals.

From the list you provided, the rational numbers are:

A. \( \sqrt{16} \) (This equals 4, which is rational)
B. 7.88 (This is a terminating decimal, which is rational)
C. 0 (This can be expressed as 0/1, which is rational)
D. \( \sqrt{2} \) (This is an irrational number, so it is not rational)
E. 1.4646646664... (This is a non-repeating decimal, which means it is irrational)
F. 8 one eighth (This is equivalent to \( 8 + \frac{1}{8} = 8.125 \), which is rational)
G. minus one fifth (This can be expressed as -1/5, which is rational)
H. 30 (This is rational, as it can be expressed as 30/1)
I. negative 18 (This is rational, as it can be expressed as -18/1)

### Therefore, the rational numbers from the list are:
- A. \( \sqrt{16} \)
- B. 7.88
- C. 0
- F. 8 one eighth
- G. minus one fifth
- H. 30
- I. negative 18