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Understanding Absolute Value in Real-World Situations

In this lesson, you'll learn how to interpret absolute value through real-world scenarios using a number line. Explore concepts such as debts, distances from a finish line, and depths of oceans to see the practical applications of absolute value. Compare distances, manage debts using absolute values, and explore various activities that help you understand ordering numbers by their absolute values. You'll gain skills that translate mathematical concepts into real-life contexts, deepening your comprehension of absolute value.

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Understanding Absolute Value in Real-World Situations

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  1. When is -4.75 “more than” -2.25?

  2. In this lesson you will learn to interpret absolute value in real-world situations by using a number line.

  3. |5| = 5 |-5| = 5

  4. |-6| < |-4.25| 6 1 0 2 3 4 7 8 9 10 -4 -3 -1 5 -10 -2 -9 -8 -7 -6 -5 l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l

  5. 15 ft. l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l 10 ft. 5 ft. B 0 Sea Level |-6.5| = 6.5 ft. A -5 ft. |-12.5| = 12.5 ft. -10 ft. -15 ft.

  6. Tim owes $4.75 Chris owes $2.25 -$5 -$4 -$3 -$2 -$1 $0 $1 $2 $3 $4 $5 |-$4.75| = $4.75 in debt |-$2.25| = $2.25 in debt l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l

  7. In this lesson you have learned to interpret absolute value in real-world situations by using a number line.

  8. Jenny and Tracy are running a race. Jenny is 8.5 yards from the finish line and Tracy is 3.75 yards from the finish line. Show who is further from the finish line using absolute value. 6 1 0 2 3 4 7 8 9 10 -4 -3 -1 5 -10 -2 -9 -8 -7 -6 -5 l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l

  9. You are $3.50 in debt. Write your debt using absolute value. How far from being out of debt are you? -$5 -$4 -$3 -$2 -$1 $0 $1 $2 $3 $4 $5 l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l

  10. Absolute value ordering • Create a set of integer flashcards. • Draw five cards at random. • Line the cards up from least to greatest as integers. • Line the cards up from least to greatest as absolute values.

  11. Ordering Oceans • Using the Internet, find the depth of several oceans. • Create a picture that shows the depth of each ocean. • Order the oceans from deepest to shallowest. • Share your picture with your class.

  12. If you borrow $5.25, which of the following shows how much you need to earn to get out of debt? Tom takes the elevator 6 floors below ground level. How many floors will he need to go up to get back to the ground level?

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