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.
Module
Worked examples
Worked Examples
Example: 47 + 19
- Round: 19 is close to 20 (19 = 20 - 1).
- Add: 47 + 20 = 67.
- Adjust: 67 - 1 = 66.
- Result: 66.
- Independent Check: 40 + 10 = 50; 7 + 9 = 16; 50 + 16 = 66. (Matches)
Example: 156 + 98
- Round: 98 is close to 100 (98 = 100 - 2).
- Add: 156 + 100 = 256.
- Adjust: 256 - 2 = 254.
- Result: 254.
- Independent Check: 156 + 90 = 246; 246 + 8 = 254. (Matches)
Academy Course
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