Question

Order the rational numbers from least to greatest.

A) 3/4, 79%, 0.82, 7/8
B) 0.82, 7/8, 3/4, 79%
C) 79%, 3/4, 0.82, 7/8
D) 7/8, 0.82, 79%, 3/4

Answer 1

After converting the rational numbers 3/4, 79%, 0.82, and 7/8 to decimals, it becomes clear that the correct order from least to greatest is 3/4, 79%, 0.82, 7/8. None of the provided options (A, B, C, D) are correct according to this analysis.

Step-by-step explanation:

To order the rational numbers 3/4, 79%, 0.82, and 7/8 from least to greatest, we must first express them all in the same format. Given the options:

• A) 3/4, 79%, 0.82, 7/8
• B) 0.82, 7/8, 3/4, 79%
• C) 79%, 3/4, 0.82, 7/8
• D) 7/8, 0.82, 79%, 3/4

We will convert all figures to decimals: 3/4 = 0.75; 79% = 0.79; 7/8 = 0.875. Now we can easily compare them:

1. 3/4 (0.75)
2. 79% (0.79)
3. 0.82
4. 7/8 (0.875)

Choosing from the given options, the correct order from least to greatest is:

B) 0.82, 7/8, 3/4, 79%

However, option B has an error because 0.82 is greater than both 3/4 and 79%. Instead, the correct order is:

1. 3/4
2. 79%
3. 0.82
4. 7/8

Therefore, none of the provided options (A, B, C, D) are correct. The proper order from least to greatest is 3/4, 79%, 0.82, 7/8.