Question

Kevin compared the absolute values of -2 1/8, -2.25, 2 3/8, -2.29, and 2 4/11. Which number has the greatest absolute value?

Answer 1

Answer:

2 3/8 has the greatest absolute value

Step-by-step explanation:

we know that

Absolute value,  means to remove any negative sign in front of a number

step 1

Find the absolute values of the numbers and convert to an improper fraction

a) $\left|-2\frac{1}{8} \right|=2\frac{1}{8}$

$2\frac{1}{8}=\frac{2*8+1}{8}=\frac{17}{8}=2.125$

b) $\left|-2.25\right|=2.25$

c) $\left|2\frac{3}{8} \right|=2\frac{3}{8}$

$2\frac{3}{8}=\frac{2*8+3}{8}=\frac{19}{8}=2.375$

d) $\left|-2.29\right|=2.29$

e)  $\left|2\frac{4}{11} \right|=2\frac{4}{11}$

$2\frac{4}{11}=\frac{2*11+4}{11}=\frac{26}{11}=2.364$

Compare the values

$2.375 > 2.364 > 2.29 > 2.25 > 2.125$

therefore

2 3/8 has the greatest absolute value