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Unit 05 · Rational Numbers and CoordinatesLesson

Day 062Opposites and Double Opposites

LearnClassworkAnswer keyPDF packet ↗
Standards 6.NS.C.6a
LEARNING TARGET

I can identify opposites and the opposite of an opposite.

01 · LEARN

Build the idea

Opposites are equally far from zero on opposite sides of a number line. The opposite of 0 is 0. Reversing direction twice returns to the original number.

WORKED EXAMPLE 1

Find the opposite of -7. Show both values on a number line.

7

-7 and 7 are each 7 units from 0 on opposite sides.

WORKED EXAMPLE 2

Find the opposite of -3/4 and the opposite of that result. Locate all values on a number line.

3/4; opposite again -3/4

-3/4 and 3/4 are each 3/4 units from 0 on opposite sides.

02 · PRACTICE

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Find the opposite of -8. Show both values on a number line.

  2. Find the opposite of -6. Show both values on a number line.

  3. Find the opposite of -5. Show both values on a number line.

  4. Find the opposite of -7/4 and the opposite of that result. Locate all values on a number line.

  5. Find the opposite of -1 and the opposite of that result. Locate all values on a number line.

  6. Find the opposite of -2 and the opposite of that result. Locate all values on a number line.

  7. Find the opposite of -2/5 and the opposite of that result. Locate all values on a number line.

  8. Find the opposite of -7 and the opposite of that result. Locate all values on a number line.

  9. Find the opposite of -3 and the opposite of that result. Locate all values on a number line.

  10. Find the opposite of -4/5 and the opposite of that result. Locate all values on a number line.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 8

    -8 and 8 are each 8 units from 0 on opposite sides.

  2. 6

    -6 and 6 are each 6 units from 0 on opposite sides.

  3. 5

    -5 and 5 are each 5 units from 0 on opposite sides.

  4. 7/4; opposite again -7/4

    -7/4 and 7/4 are each 7/4 units from 0 on opposite sides.

  5. 1; opposite again -1

    -1 and 1 are each 1 units from 0 on opposite sides.

  6. 2; opposite again -2

    -2 and 2 are each 2 units from 0 on opposite sides.

  7. 2/5; opposite again -2/5

    -2/5 and 2/5 are each 2/5 units from 0 on opposite sides.

  8. 7; opposite again -7

    -7 and 7 are each 7 units from 0 on opposite sides.

  9. 3; opposite again -3

    -3 and 3 are each 3 units from 0 on opposite sides.

  10. 4/5; opposite again -4/5

    -4/5 and 4/5 are each 4/5 units from 0 on opposite sides.

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