Addition Algorithm for Whole NumbersAddition Algorithm for Whole Numbers

235

+ 492

Addition Algorithm for Whole NumbersAddition Algorithm for Whole Numbers

235

+ 492

7

Place Value : Start with smallest pieces (ones)

Basic Fact: 5 ones + 2 ones = 7 ones

Basic Fact: 5 + 2 = 7

Rename: not needed

Addition Algorithm for Whole NumbersAddition Algorithm for Whole Numbers

1

235

+ 492

27

Place Value: move to the tens

Basic Fact: 3 tens + 9 tens = 12 tens

Basic Fact: 3 + 9 = 12

Rename: 12 tens as 1 hundred + 2 tens

Addition Algorithm for Whole NumbersAddition Algorithm for Whole Numbers

1

235

+ 492

727

Place Value: move to the hundreds

Basic Fact: 1 hundred + 2 hundreds + 4 hundreds = 7 hundreds

Basic Fact: 1 + 2 + 4 = 7

Rename: not needed

Addition Algorithm for Whole NumbersAddition Algorithm for Whole Numbers

235

+ 492

200 + 30 + 5

400 + 90 + 2

Addition Algorithm for Whole NumbersAddition Algorithm for Whole Numbers

235

+ 492

7

200 + 30 + 5

400 + 90 + 2

7

Addition Algorithm for Whole NumbersAddition Algorithm for Whole Numbers

1

235

+ 492

27

200 + 30 + 5

400 + 90 + 2

120 + 7

Addition Algorithm for Whole NumbersAddition Algorithm for Whole Numbers

1

235

+ 492

27

100

200 + 30 + 5

400 + 90 + 2

20 + 7

Addition Algorithm for Whole NumbersAddition Algorithm for Whole Numbers

1

235

+ 492

727

100

200 + 30 + 5

400 + 90 + 2

700 + 20 + 7

Notice the cycle Notice the cycle

For all addition algorithms there is a cycle of:

• Place Value (identify like sized pieces)

• Basic Facts

• Rename (if necessary)