Question

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

Answer 1

c) I, III, IV, II

Explanation:

Values of l, ll, lll & lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Hence, the option (c) is correct.

Answer 2

C) I, III, IV, II

Explanation:

Convert each number into a decimal:

`\textsf{I.} \quad (58)/(67)=0.86567...`

`\textsf{II.} \quad 0.58\%=(0.58)/(100)=0.0058`

`\textsf{III.} \quad 58\%=(58)/(100)=0.58`

`\textsf{IV.} \quad 5.8\%=(5.8)/(100)=0.058`

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