Answer:
C) I, III, IV, II
Step-by-step explanation:
Convert each number into a decimal:
[tex]\textsf{I.} \quad \dfrac{58}{67}=0.86567...[/tex]
[tex]\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058[/tex]
[tex]\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58[/tex]
[tex]\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058[/tex]
Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.
The next biggest tenth is 5, so 58% is the next largest number.
The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number. Therefore, 0.58% is the smallest number.
Therefore, the given set of numbers in order from greatest to least is: