Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.5

Lesson 7.1Integers in Real Situations

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

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Learning target I can use integers to represent quantities in everyday life, explain what 0 means in each situation, and name the opposite of an integer on the number line.

Remember7.1 · Part II

Integers & Opposites

  1. Integers: Positive whole numbers, negative whole numbers, and zero (..., -2, -1, 0, 1, 2, ...)
  2. Opposites: Numbers that are the same distance from 0 in opposite directions (e.g. -5 and 5)
  3. The opposite of the opposite of a number is the number itself: -(-a) = a

Words: Integer (Número entero)Opposite (Opuesto)Negative number (Número negativo)Positive number (Número positivo)Number line (Recta numérica)

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

    What is the opposite of −6?

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

    In Reykjavik, the temperature was 14 degrees colder than 0°C. Write the temperature as an integer.

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

    −(−n) = −31. What is n?

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

    A store's sales went down by $45 this week. Zero means no change. Write the change in sales as an integer.

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

    On a game show, 0 means no points. Ana's score is the opposite of −(−65). What is Ana's score?

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

    Point C is at 2. Point A is 5 units to the left of C. Point B is the opposite of A. What is B?

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

    Badwater Basin is 86 meters below sea level, and sea level is 0. Which integer represents that elevation?

    1. A-86
    2. B-68
    3. C0
    4. D86
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    In Reykjavik the temperature was -9°C. What is the opposite of -9?

    1. A-18
    2. B-9
    3. C0
    4. D9
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    What is the opposite of 0?

    1. AA number written -0, which is less than 0
    2. BEvery negative number
    3. CZero has no opposite
    4. D0
    Show your work
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