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Which list shows the absolute value in order from greatest to least?

Select each correct answer.

Which list shows the absolute value in order from greatest to least? Select each correct-example-1
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User Iluvatar
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7.8k points

1 Answer

7 votes

Answer:

The first, third, and fourth.

Explanation:

Absolute value is the distance from 0 on a number line and is always positive. To order from least to greatest, we compare place value or numerator and denominators.

In the first list, 11 is the greatest value and 7/10>3/5. Their decimal conversions are 0.7>0.6. This list has the correct order.

In the second list, 3>2 in the ones place. This is correct so far. NOw let's look at the fractions. 1/3<2/3. Their decimal conversions are 0.33..<0.66... This list should have -3 2/3 first. This list is the incorrect order.

In the third list, 6 or -6 is the greatest value in the ones place 6>5. Let's look at the fractions. 5/7>3/7 since they share the same denominator we can compare just the numerators. 5>3. This list is correct.

In the fourth list, the ones place is the same for all. We take a look at the fractions now. 5/6>7/12 since 0.83>0.583. And lastly 7/12>5/12. This list is in the correct order.

The first, third, and fourth lists are in correct order for absolute value greatest to least.


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User FObersteiner
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8.6k points

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