Technique explanation

Teaching Explanation

When you add a number that is "almost" a round number, like 19, it's easier to add the round number (20) and then fix it.

Think of it like this: If you want to add 19, add 20 first. But since 20 is one too many, you must subtract 1 at the end to keep it fair. This "compensation" makes the mental math much smoother.

Method Condition

Most effective when one number ends in 7, 8, or 9 (e.g., adding 19, 28, or 37).

Standard Fallback

Standard column addition.

Misconception & Correction

  • Misconception: Forgetting to subtract the adjustment at the end, or adding it instead.

Correction: If you rounded up to reach a friendly number, you must subtract the difference. If you rounded down* (less common), you would add.

Worked examples

Worked Examples

Example: 47 + 19

  1. Round: 19 is close to 20 (19 = 20 - 1).
  2. Add: 47 + 20 = 67.
  3. Adjust: 67 - 1 = 66.
  • Result: 66.
  • Independent Check: 40 + 10 = 50; 7 + 9 = 16; 50 + 16 = 66. (Matches)

Example: 156 + 98

  1. Round: 98 is close to 100 (98 = 100 - 2).
  2. Add: 156 + 100 = 256.
  3. Adjust: 256 - 2 = 254.
  • Result: 254.
  • Independent Check: 156 + 90 = 246; 246 + 8 = 254. (Matches)
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