Grade 6 Mathematics · Unit 4: Understand and Use PercentagesStandard 6.AT.4

Lesson 4.2Compare and Order

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

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Learning target I can write equivalent fractions, decimals, and percents for the same value.

Remember4.2 · Part II

Fraction, Decimal & Percent Equivalence

  1. Percent to Decimal: Divide by 100 (move decimal point 2 places left)
  2. Decimal to Percent: Multiply by 100 (move decimal point 2 places right)
  3. Fraction to Percent: Divide numerator by denominator, then convert decimal to percent

Words: Percent (Porcentaje)Decimal (Decimal)Equivalent (Equivalente)Benchmark (Referencia)Discount (Descuento)

  1. 1Complete each step, then write the final answer.
    Part7?Whole10100× ?× ?

    Write 7/10 as a percent.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Part3?Whole25100× ?× ?

    Write 3/25 as a decimal.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Part35?Whole10020÷ ?÷ ?

    A fraction with a denominator of 20 is equal to 35%. What is its numerator?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Price off1?Whole price4100× ?× ?

    A shirt is 1/4 off the price. Write the discount as a percent.

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    Right answers27??Questions3010100÷ ?÷ ?× ?× ?

    A test has 30 questions. Rosa gets 27 of them right. What percent of the questions does she get right?

    Show your work
    Final answer:
  6. 6Circle the letter of the best answer. Show how you know.
    Part5?Whole121÷ ?÷ ?
    Scale 5 out of 12 to a whole of 1.

    Which is greatest: 5/12, 0.42 or 41.5%?

    1. A0.42
    2. B5/12
    3. C41.5%
    0%50%100%
    Work
  7. 7Circle the letter of the best answer. Show how you know.

    Convert 3/5 to a percent.

    1. A35%
    2. B53%
    3. C60%
    4. D65%
    Rewrite each fraction
    Work it out
    Simplify
  8. 8Circle the letter of the best answer. Show how you know.

    Convert 7/20 to a percent.

    1. A14%
    2. B20%
    3. C35%
    4. D70%
    Rewrite each fraction
    Work it out
    Simplify
  9. 9Circle the letter of the best answer. Show how you know.

    Which decimal is equivalent to 45%?

    1. A0.045
    2. B0.45
    3. C4.5
    4. D45.0
    0%50%100%
    Work
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