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Mental strategies: split and compensate

Name: _____________________ Date: __________

Show your thinking with numbers, words, or a drawing.

1. Split into tens and ones: 57 + 24 = 50 + 20 + 7 + 4 = ?

2. Split into tens and ones: 34 + 18 = 30 + 10 + 4 + 8 = ?

3. Split into tens and ones: 76 + 16 = 70 + 10 + 6 + 6 = ?

4. Split into tens and ones: 42 + 49 = 40 + 40 + 2 + 9 = ?

5. Split into tens and ones: 17 + 34 = 10 + 30 + 7 + 4 = ?

Answer key ยท Mental strategies: split and compensate

1. 81

Tens: 50 + 20 = 70. Ones: 7 + 4 = 11.

11 is 1 ten and 1 ones, so 70 + 11 = 81.

So 57 + 24 = 81.

2. 52

Tens: 30 + 10 = 40. Ones: 4 + 8 = 12.

12 is 1 ten and 2 ones, so 40 + 12 = 52.

So 34 + 18 = 52.

3. 92

Tens: 70 + 10 = 80. Ones: 6 + 6 = 12.

12 is 1 ten and 2 ones, so 80 + 12 = 92.

So 76 + 16 = 92.

4. 91

Tens: 40 + 40 = 80. Ones: 2 + 9 = 11.

11 is 1 ten and 1 ones, so 80 + 11 = 91.

So 42 + 49 = 91.

5. 51

Tens: 10 + 30 = 40. Ones: 7 + 4 = 11.

11 is 1 ten and 1 ones, so 40 + 11 = 51.

So 17 + 34 = 51.

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