Comparing Decimals · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Comparing Decimals

Mathematics · Fractions · ages 9-10
Name ______________________   Date ____________

  1. Which decimal is less than 5?

    • 5.1
    • 4.7
    • 5.05
    • 5.5

  2. Which decimal is greater than 5?

    • 4.98
    • 5.01
    • 4.5
    • 4.99

  3. Which symbol makes this true? 0.6 ___ 0.4

    • >
    • <
    • =

  4. 0.36 is greater than 0.306.

    Circle one:   True   False

  5. Order 4.56, 4.5, and 4.065 from greatest to least. Which choice is correct?

    • 4.065, 4.5, 4.56
    • 4.5, 4.56, 4.065
    • 4.065, 4.56, 4.5
    • 4.56, 4.5, 4.065

  6. Order 6.271, 6.27, and 6.3 from smallest to largest. Which list is correct?

    • 6.27, 6.271, 6.3
    • 6.3, 6.271, 6.27
    • 6.271, 6.27, 6.3

  7. Which list shows 2.3, 2.03, and 2.303 in order from greatest to least?

    • 2.3, 2.303, 2.03
    • 2.03, 2.3, 2.303
    • 2.303, 2.3, 2.03
    • 2.303, 2.03, 2.3

  8. True or false: 5.09 is less than 5.1.

    Circle one:   True   False

  9. Zoe compared 0.8 and 0.75. She said 0.75 is greater because 75 is more than 8. Which explanation is correct?

    • Yes. 0.75 has more digits, and 75 hundredths is greater than 8 hundredths.
    • No. 0.8 is 0.80, and 80 hundredths is greater than 75 hundredths.
    • They are equal, because 0.8 and 0.75 both lie between 0.7 and 0.9.

  10. Which symbol makes this true? 0.307 ___ 0.37

    • <
    • >
    • =
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Comparing Decimals W1-mt_933BohS9BH-s1

  1. 4.7 · 4.7 has only 4 ones, so it is less than 5. The others have 5 ones plus extra.
  2. 5.01 · 5.01 has 5 ones plus 1 hundredth extra, so it is greater than 5. All the others have only 4 ones.
  3. > · The ones are both 0, but the tenths are 6 and 4. Since 6 is more than 4, 0.6 is greater, so we use >.
  4. True · Both have 3 tenths, but 0.36 has 6 hundredths while 0.306 has 0 hundredths, so 0.36 is bigger.
  5. 4.56, 4.5, 4.065 · Write 4.560, 4.500, 4.065. 4.065 has 0 tenths, so it is least. 4.56 beats 4.5 at the hundredths, so the order is 4.56, 4.5, 4.065.
  6. 6.27, 6.271, 6.3 · Line up the decimal places: 6.270, 6.271, 6.300. The tenths make 6.3 the largest. Between the other two, the thousandths, 0 vs 1, show 6.27 is smaller than 6.271.
  7. 2.303, 2.3, 2.03 · Write each with three decimal places: 2.300, 2.030, 2.303. 2.03 has the fewest tenths, so it is least. 2.303 beats 2.300 at the thousandths, so the order is 2.303, 2.3, 2.03.
  8. True · Write 5.1 as 5.10. Both have 5 ones, and 0 tenths is less than 1 tenth, so 5.09 is less than 5.1.
  9. No. 0.8 is 0.80, and 80 hundredths is greater than 75 hundredths. · Comparing 8 and 75 as whole numbers skips place value. Writing 0.8 as 0.80 shows that 80 hundredths is greater than 75 hundredths.
  10. < · Write 0.37 as 0.370. The tenths tie at 3, and 0 hundredths is less than 7 hundredths, so 0.307 < 0.37.
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