Cardinal Math

Grades 2–4 · 2.NBT.4, 4.NF.7 · sheet 10 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 0.60.60
  2. 2 197195
  3. 3 0.280.4
  4. 4 422168
  5. 5 389119
  6. 6 0.110.79
  7. 7 0.30.74
  8. 8 0.40.29
  9. 9 0.400.4
  10. 10 335315
  11. 11 0.710.19
  12. 12 364743
  13. 13 589555
  14. 14 219218
  15. 15 722375
  16. 16 666356
  17. 17 930919
  18. 18 232431
  19. 19 948838
  20. 20 0.80.82
Cardinal Math · sheet 10 key: cardinalmath.com/worksheets/comparing/10/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 (5 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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