3. What is the proper ordering
(from greatest to least) of the
following numbers?
I.58/67
II.0.58%
III.58%
IV.5.8%

O I, III, II,
O III, IV, II, I
O I, III, IV, II
O IV, I, III, II

Respuesta :

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:

  • I, III, IV, II