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2. How to Use the “Compensation” Strategy to Add
Dawn Galente, Arlington CSD 2011
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The “compensation” strategy can help us add numbers.
EXAMPLE: = ?
Step 1: Pick an addend that is close to a ten.
+ 1 9 5 +
Step 2: Add to or subtract from that number to reach a ten. (In this case we will add 1 to get 10).
Step 3: Add the new numbers. REMEMBER- this is not the real answer! 10 5 +
Step 4: Adjust the answer to “compensate” for the addition of 1.
= 15
Hmm, I added 1 to make the problem easier, so now I need to subtract out 1 to get the real answer.
The real answer!!
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= 15
= 14

4. EXAMPLE 2: =
Step 1: Pick an addend that is close to a ten.
Step 2: Add to or subtract from that number to reach a ten. (In this case we will add 3 to get 60).
Step 3: Add the new numbers. REMEMBER- this is not the real answer!
Step 4: Adjust the answer to “compensate” for the addition of 3.
Hmm, I added 3 to make the problem easier, so now I need to subtract 3.
+ 3 57 + 34 60 +
34 = 94 94 -
3 = 91

5. Example 3: =
502 +
436
Step 1: Pick an addend that is close to a hundred.
Step 2: Add to or subtract from that number to reach the hundred. (In this case we will subtract 2 to get 500).
Step 3: Add the new numbers. REMEMBER- this is not the real answer!
Step 4: Adjust the answer to “compensate” for the subtraction of 2.
Hmm, I subtracted 2 to make the problem easier, so now I need to add 2.
- 2
500 +
436 = 936
936 +
2 = 938

6. The End