Cardinal Math

Grades 2–4 · 2.NBT.4, 4.NF.7 · sheet 7 of 30

Comparing numbers and decimals

A printable worksheet, new every day, with a key that names the mistake.

  • Twelve pairs of three-digit numbers, some set up to trap a child who compares the ones digit first, and eight decimal pairs like 0.5 and 0.45.
  • The key names the rule behind a wrong sign: the ones digit decides, the longer decimal is bigger, or the shorter one is.
Answer key Another sheet →

Comparing numbers and decimals

Write <, > or = in the circle.

Name Date
  1. 1 369729
  2. 2 0.880.37
  3. 3 0.200.2
  4. 4 955876
  5. 5 895885
  6. 6 567563
  7. 7 0.500.20
  8. 8 0.60.60
  9. 9 348349
  10. 10 841561
  11. 11 0.850.8
  12. 12 229579
  13. 13 775186
  14. 14 0.590.3
  15. 15 0.190.6
  16. 16 270228
  17. 17 274148
  18. 18 827548
  19. 19 0.320.6
  20. 20 593566
Cardinal Math · sheet 7 key: cardinalmath.com/worksheets/comparing/7/key/

The app does this live.

It picks the next problem from the last answer, skips ahead or doubles back, and animates the teaching instead of handing over a rule. Inside the app the same patterns the key names are caught as your child plays.

How to use the key

Mark the sheet against the key. Beside each answer it lists what the known mistakes would have written. One wrong answer is a slip. The same pattern three times is a rule your child is following, and the guide says what to do about it tonight.

On this sheet the key can tell apart: comparing numbers by the ones digit first (6 problems), the longer decimal is bigger (4 problems), the shorter decimal is bigger (4 problems).

Cardinal Math watches for all of these, every day.

Inside the app the same patterns are caught as your child plays, across the whole of K to grade 5, and explained to you in plain words. One price, no ads, no streaks. Coming to iPhone and iPad.

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