an addition algorithm partial sums. partial sums addition algorithm partial sum addition involves...

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AN ADDITION ALGORITHM Partial Sums

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Page 1: AN ADDITION ALGORITHM Partial Sums. Partial Sums Addition Algorithm Partial Sum Addition involves Thinking of the place value of the digits in the numbers,

AN ADDITION ALGORITHM

Partial Sums

Page 2: AN ADDITION ALGORITHM Partial Sums. Partial Sums Addition Algorithm Partial Sum Addition involves Thinking of the place value of the digits in the numbers,

Partial Sums Addition Algorithm

Partial Sum Addition involvesThinking of the place value of the digits in

the numbers, Finding partial sums by adding parts of

numbers according to their place value, andAdding partial sums together to get a total

Page 3: AN ADDITION ALGORITHM Partial Sums. Partial Sums Addition Algorithm Partial Sum Addition involves Thinking of the place value of the digits in the numbers,

Partial Sums Addition

Solve 268 + 483

Begin by thinking of the expanded notation for the numbers being added:

268 = 200 + 60 + 8483 = 400 + 80 + 3

Page 4: AN ADDITION ALGORITHM Partial Sums. Partial Sums Addition Algorithm Partial Sum Addition involves Thinking of the place value of the digits in the numbers,

268+ 483

600Add the hundreds (200 + 400)

Add the tens (60 +80) 140Add the ones (8 + 3)

Add the partial sums(600 + 140 + 11)

+ 11751

Page 5: AN ADDITION ALGORITHM Partial Sums. Partial Sums Addition Algorithm Partial Sum Addition involves Thinking of the place value of the digits in the numbers,

785+ 6411300Add the hundreds (700 + 600)

Add the tens (80 +40) 120Add the ones (5 + 1)

Add the partial sums(1300 + 120 + 6)

+ 6

1426

Page 6: AN ADDITION ALGORITHM Partial Sums. Partial Sums Addition Algorithm Partial Sum Addition involves Thinking of the place value of the digits in the numbers,

329+ 9891200 100

+ 18

1318