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Question
- which list shows these values ordered from least to greatest? $-5, -1 \frac{1}{2}, 0, 2 \frac{1}{4}, 3$
a. $-5, -1 \frac{1}{2}, 0, 2 \frac{1}{4}, 3$
b. $-1 \frac{1}{2}, -5, 0, 2 \frac{1}{4}, 3$
c. $3, 2 \frac{1}{4}, 0, -1 \frac{1}{2}, -5$
d. $-5, 0, -1 \frac{1}{2}, 2 \frac{1}{4}, 3$
Step1: Convert mixed numbers to decimals
$-1\frac{1}{2} = -1.5$, $2\frac{1}{4} = 2.25$
Step2: Compare values from least to greatest
Negative numbers are smaller than 0 and positive numbers; the larger the absolute value of a negative number, the smaller the number. So: $-5 < -1.5 < 0 < 2.25 < 3$
Step3: Match to option
This order corresponds to $-5, -1\frac{1}{2}, 0, 2\frac{1}{4}, 3$
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A. -5, -1 1/2, 0, 2 1/4, 3