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

Lesson 7.2Opposites of Rational Numbers

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

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Learning target I can place rational numbers, including fractions and decimals, on a number line.

Remember7.2 · Part II

Rational Numbers on the Number Line

  1. Find the two consecutive integers the rational number falls between
  2. Divide the segment between integers into equal parts matching the denominator
  3. Negative numbers move to the left of zero; positive numbers move to the right

Words: Rational number (Número racional)Fraction (Fracción)Decimal (Decimal)Number line (Recta numérica)Equivalent (Equivalente)

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

    A point is halfway between 2 and 3. What number is it?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    −4−3−2A
    Each space is one fourth of a unit.

    Point A is on the number line. What number is at point A? Write a decimal.

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

    Point K is between −4 and −3. It is 0.4 units from −4. What number is K?

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

    The water in a pool is 1 1/4 feet under the top edge. The top edge is 0. Write the water level as a decimal.

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

    A freezer's temperature is between −10°F and −9°F. It is 3/4 of the way from −9°F to −10°F. Write the temperature as a decimal.

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

    Find the number exactly halfway between −1 1/2 and −1/4 on a number line.

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

    Which point is located between -1 and -2 on the number line?

    1. A-2.5
    2. B-1.5
    3. C-0.5
    4. D1.5
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Which fraction is equivalent to 0.25?

    1. A1/4
    2. B1/2
    3. C1/3
    4. D2/5
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Where is -3/4 located on the number line?

    1. ABetween -3 and -4
    2. BBetween -1 and -2
    3. CBetween 0 and -1
    4. DBetween 0 and 1
    Show your work
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