Question

Name the rational numbers from the list below.
negative 15​, 0​, 5​, 9.25​, StartRoot 2 EndRoot​, StartRoot 4 EndRoot​, 6one fourth
​,minusStartFraction 12 Over 11 EndFraction
​, 1.1717717771...
Question content area bottom
Part 1
What are the rational numbers​? Select all that apply.
A.StartRoot 4 EndRoot
StartRoot 4 EndRoot
B.0
0
C.minus StartFraction 12 Over 11 EndFraction
minusStartFraction 12 Over 11 EndFraction
D.StartRoot 2 EndRoot
StartRoot 2 EndRoot
E.
1.1717717771...
F.6 one fourth
6one fourth
G.5
5
H.negative 15
negative 15
I.9.25
9.25

Answer 1

Rational numbers are numbers that can be expressed as a fraction (a/b) where both a and b are integers, and b is not zero. They include integers, fractions, and terminating or repeating decimals. Let's evaluate each option:

A. \( \sqrt{4} \) - This is equal to 2, which is a rational number.
B. 0 - This is a rational number (0 can be expressed as \( \frac{0}{1} \)).
C. \( -\frac{12}{11} \) - This is a rational number.
D. \( \sqrt{2} \) - This is not a rational number (it is an irrational number).
E. 1.1717717771... - This is a non-terminating, non-repeating decimal, which is not considered a rational number.
F. 6 one fourth (or \( 6 \frac{1}{4} \)) - This can be converted to the fraction \( \frac{25}{4} \), so it is a rational number.
G. 5 - This is a rational number (5 can be expressed as \( \frac{5}{1} \)).
H. negative 15 - This is a rational number (it can be expressed as \( \frac{-15}{1} \)).
I. 9.25 - This is a rational number (it can be expressed as \( \frac{37}{4} \)).

Thus, the rational numbers from the list are:

- A. \( \sqrt{4} \)
- B. 0
- C. \( -\frac{12}{11} \)
- F. 6 one fourth
- G. 5
- H. negative 15
- I. 9.25