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

Lesson 7.37.3 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target With my small group, I can find the absolute value of a rational number — an integer, fraction, or decimal — as its distance from zero — one step at a time, with support.

Remember7.3 Small Group · Group 1

Absolute value is distance from 0, so a number and its opposite have the same absolute value, and it is never negative. The absolute value of a number is its distance from 0. A distance is never negative.

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

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

    A fish swims at −9 meters. Find |−9|.

    Show your work

    Hint Count the units from −9 to 0.

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

    Find |−14|.

    Show your work

    Hint Count the units from −14 to 0.

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

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

    Show your work

    Hint The size of a debt is the absolute value of the balance.

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

    One night it is −15.5°F. The next night it is 12°F. Which temperature is farther from 0? How far from 0 is it?

    Show your work

    Hint Find both absolute values. The greater one is farther from 0.

    Final answer:

Explain your thinkingBen wrote |−5| = −5. Explain his mistake. Why is an absolute value never negative?

Sentence starter An absolute value is never negative because ___. · |−5| = ___ because −5 is ___ units from 0.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help