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) [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]
therefore
2 3/8 has the greatest absolute value
