Q:

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?

Accepted Solution

A:
Answer:2 3/8 has the greatest absolute value Step-by-step explanation:we know thatAbsolute value,  means to remove any negative sign in front of a numberstep 1Find the absolute values of the numbers and convert to an improper fractiona) [tex]\left|-2\frac{1}{8} \right|=2\frac{1}{8}[/tex][tex]2\frac{1}{8}=\frac{2*8+1}{8}=\frac{17}{8}=2.125[/tex]b) [tex]\left|-2.25\right|=2.25[/tex]c) [tex]\left|2\frac{3}{8} \right|=2\frac{3}{8}[/tex][tex]2\frac{3}{8}=\frac{2*8+3}{8}=\frac{19}{8}=2.375[/tex]d) [tex]\left|-2.29\right|=2.29[/tex]e)  [tex]\left|2\frac{4}{11} \right|=2\frac{4}{11}[/tex][tex]2\frac{4}{11}=\frac{2*11+4}{11}=\frac{26}{11}=2.364[/tex]Compare the values[tex]2.375 > 2.364 > 2.29 > 2.25 > 2.125[/tex]therefore2 3/8 has the greatest absolute value