Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.8

Lesson 7.3Absolute Value and Total Distance

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can find the absolute value of a rational number — an integer, fraction, or decimal — as its distance from zero.

Remember7.3 · Part II

Absolute Value

  1. Absolute value represents distance on a number line, never direction
  2. Distance is always positive or zero: |-7| = 7 and |7| = 7
  3. Context: Magnitude of temperature, debt, elevation regardless of sign

Words: Integer (Número entero)Positive (Positivo)Negative (Negativo)Absolute value (Valor absoluto)Opposite (Opuesto)

  1. 1Complete each step, then write the final answer.

    Find |−11|.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Find |−3/4|.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    |x| = 13, and x is to the left of 0. What is x?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    Kim's bank balance is −$25. How many dollars does Kim owe?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.

    On Monday a stock price changed by −$3.40. On Tuesday it changed by $2.90. Which day had the bigger change in size?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.

    |a| = 5.5 and |b| = 3. a is negative and b is positive. How many units apart are a and b on a number line?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    What is the absolute value of -9?

    1. A-9
    2. B0
    3. C1
    4. D9
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Which integer has the GREATEST absolute value: -3, 7, -5, 2?

    1. A-5
    2. B-3
    3. C2
    4. D7
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    What is |0|?

    1. A1
    2. B-1
    3. C0
    4. DThere is no answer
    Show your work
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