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

2 3/8 has the greatest absolute value

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(1)/(8) \right|=2(1)/(8)`

`2(1)/(8)=(2*8+1)/(8)=(17)/(8)=2.125`

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

c)
`\left|2(3)/(8) \right|=2(3)/(8)`

`2(3)/(8)=(2*8+3)/(8)=(19)/(8)=2.375`

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

e)
`\left|2(4)/(11) \right|=2(4)/(11)`

`2(4)/(11)=(2*11+4)/(11)=(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