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Comparing and ordering decimals

Compare decimal pairs and put three decimals in order.

Practice + answer key · 3 pages

Worksheet settings12 questions · 2 columns · A4
Value in hundredths

Enter whole-number counts of hundredths: 5 means 0.05 and 120 means 1.20. All values stay within your range.

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Comparing and ordering decimalsComparing and ordering decimals. Practice. Fill the box with <, > or =: 0.67 □ 1.65. Put these numbers in order from least to greatest: 2.06, 1.36, 1.38. Fill the box with <, > or =: 2.67 □ 1.04. Put these numbers in order from least to greatest: 1.15, 2.65, 0.44. Fill the box with <, > or =: 0.93 □ 2.75. Put these numbers in order from least to greatest: 1.84, 1.1, 0.4. Fill the box with <, > or =: 1.61 □ 0.54. Put these numbers in order from least to greatest: 0.85, 0.41, 1.11. Fill the box with <, > or =: 2.45 □ 2.33. Put these numbers in order from least to greatest: 2.81, 0.3, 1.75.Name __________________________Date _______________Comparing and ordering decimalsWrite the comparison symbol or order the numbers as requested.Worked exampleCompare 0.8 and 0.75. → >Write 0.8 as 0.80.1.Fill the box with <, > or =: 0.67□ 1.65.2.Put these numbers in order fromleast to greatest: 2.06, 1.36,1.38.3.Fill the box with <, > or =: 2.67□ 1.04.4.Put these numbers in order fromleast to greatest: 1.15, 2.65,0.44.5.Fill the box with <, > or =: 0.93□ 2.75.6.Put these numbers in order fromleast to greatest: 1.84, 1.1,0.4.7.Fill the box with <, > or =: 1.61□ 0.54.8.Put these numbers in order fromleast to greatest: 0.85, 0.41,1.11.9.Fill the box with <, > or =: 2.45□ 2.33.10.Put these numbers in order fromleast to greatest: 2.81, 0.3,1.75.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 2mathsprig-1 · mathsprig-v1 · 5590cea0
Comparing and ordering decimalsComparing and ordering decimals. Practice. Fill the box with <, > or =: 1.46 □ 0.72. Put these numbers in order from least to greatest: 2.16, 2.42, 1.84.Name __________________________Date _______________Comparing and ordering decimalsWrite the comparison symbol or order the numbers as requested.11.Fill the box with <, > or =: 1.46□ 0.72.12.Put these numbers in order fromleast to greatest: 2.16, 2.42,1.84.MathSprig · mathsprig.site · support@mathsprig.sitePage 2 of 2mathsprig-1 · mathsprig-v1 · 5590cea0
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Practice + answer key · 3 pages

Decimals

What you’ll practice

Compare and order nonnegative decimals by expressing them in the same place-value units.

Line up the decimal points and compare matching places. Adding a trailing zero can help: 0.8 is the same as 0.80, so it is greater than 0.75.

How this skill works

Align decimal points and, if useful, add trailing zeros until all values have the same number of places. Then compare matching place values.

0.8 and 0.80 name the same amount. In contrast, 0.08 is eight hundredths and is smaller than eight tenths.

Worked example

Compare 0.8 and 0.75.
  1. Write 0.8 as 0.80.
  2. Compare 80 hundredths with 75 hundredths.
  3. 80 > 75, so 0.8 > 0.75.

Answer: >

Teaching notes

  • Do not judge value by the number of decimal digits.
  • Keep every item when ordering a set, including repeated values.
Practice questions
  1. Fill the box with <, > or =: 0.67 □ 1.65.
  2. Put these numbers in order from least to greatest: 2.06, 1.36, 1.38.
  3. Fill the box with <, > or =: 2.67 □ 1.04.
  4. Put these numbers in order from least to greatest: 1.15, 2.65, 0.44.
  5. Fill the box with <, > or =: 0.93 □ 2.75.
  6. Put these numbers in order from least to greatest: 1.84, 1.1, 0.4.
  7. Fill the box with <, > or =: 1.61 □ 0.54.
  8. Put these numbers in order from least to greatest: 0.85, 0.41, 1.11.
  9. Fill the box with <, > or =: 2.45 □ 2.33.
  10. Put these numbers in order from least to greatest: 2.81, 0.3, 1.75.
  11. Fill the box with <, > or =: 1.46 □ 0.72.
  12. Put these numbers in order from least to greatest: 2.16, 2.42, 1.84.
Answers and steps
  1. <
    1. Express both values in hundredths: 67 and 165. Since 67 < 165, 0.67 < 1.65.
  2. 1.36, 1.38, 2.06
    1. Compare the whole-number counts of hundredths: 136, 138, 206. The decimal order is 1.36, 1.38, 2.06.
  3. >
    1. Express both values in hundredths: 267 and 104. Since 267 > 104, 2.67 > 1.04.
  4. 0.44, 1.15, 2.65
    1. Compare the whole-number counts of hundredths: 44, 115, 265. The decimal order is 0.44, 1.15, 2.65.
  5. <
    1. Express both values in hundredths: 93 and 275. Since 93 < 275, 0.93 < 2.75.
  6. 0.40, 1.10, 1.84
    1. Compare the whole-number counts of hundredths: 40, 110, 184. The decimal order is 0.40, 1.10, 1.84.
  7. >
    1. Express both values in hundredths: 161 and 54. Since 161 > 54, 1.61 > 0.54.
  8. 0.41, 0.85, 1.11
    1. Compare the whole-number counts of hundredths: 41, 85, 111. The decimal order is 0.41, 0.85, 1.11.
  9. >
    1. Express both values in hundredths: 245 and 233. Since 245 > 233, 2.45 > 2.33.
  10. 0.30, 1.75, 2.81
    1. Compare the whole-number counts of hundredths: 30, 175, 281. The decimal order is 0.30, 1.75, 2.81.
  11. >
    1. Express both values in hundredths: 146 and 72. Since 146 > 72, 1.46 > 0.72.
  12. 1.84, 2.16, 2.42
    1. Compare the whole-number counts of hundredths: 184, 216, 242. The decimal order is 1.84, 2.16, 2.42.