Asked by Rhetori Thompson on Jul 07, 2024
Verified
Determine which of the numbers in the set below are rational. {−11,33,111,5.5,−4.25}\left\{ - 11,33 , \frac { 1 } { 11 } , 5.5 , - 4.25 \right\}{−11,33,111,5.5,−4.25}
A) {111}\left\{ \frac { 1 } { 11 } \right\}{111}
B) {5.5,−4.25}\{ 5.5 , - 4.25 \}{5.5,−4.25}
C) {−11,33}\{ - 11,33 \}{−11,33}
D) {−11,33,111,5.5,−4.25}\left\{ - 11,33 , \frac { 1 } { 11 } , 5.5 , - 4.25 \right\}{−11,33,111,5.5,−4.25}
E) none are rational
Rational Numbers
Numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
Real Number Line
A line that graphically represents all real numbers in a continuous sequence, with points corresponding to numbers.
- Identify rational and integer numbers within sets.
Verified Answer
CG
Clarissa GuzmanJul 09, 2024
Final Answer :
D
Explanation :
Rational numbers are those that can be expressed as a fraction of two integers. All the given numbers can be expressed in such a form: -11 and 33 are integers (which can be considered as fractions with a denominator of 1), 111 \frac{1}{11} 111 is already in fractional form, 5.5 can be expressed as 5510 \frac{55}{10} 1055 , and -4.25 can be expressed as −174 \frac{-17}{4} 4−17 . Therefore, all the numbers in the set are rational.
Learning Objectives
- Identify rational and integer numbers within sets.