Addition learning path

Addition Compensation: Adjust and Balance

A number such as 39 is almost 40. Add 40 instead, then balance the calculation by taking away the extra 1. The answer stays true because you track the adjustment.

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The strategy

How it works

  1. Round one addend up or down to a nearby ten.

  2. Add the rounded number to the other addend.

  3. Undo the adjustment to keep the total unchanged.

See it in action

Worked examples

Example 139 + 26
  1. Round 39 up to 40.
  2. 40 + 26 = 66.
  3. Take away the extra 1: 66 − 1 = 65.

Answer: 65

Example 248 + 35
  1. Round 48 up to 50.
  2. 50 + 35 = 85.
  3. Take away 2: 85 − 2 = 83.

Answer: 83

A quick heads-up

Common mistakes to avoid

  • Rounding one addend and leaving the total unchanged; undo exactly the amount you added.
  • Adjusting both addends when only one was rounded.

Your turn

Check your understanding

Choose an answer to see instant feedback and a short explanation. You can take the quiz again any time.

Question 1 of 3

Use compensation: 29 + 14 = ?

Keep the momentum

Try a few practice problems

Choose a comfortable range and work through a short round with the free mental math trainer.

Practice addition