Computation - subtraction Pamela Leutwyler.

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Presentation transcript:

computation - subtraction Pamela Leutwyler

base ten example The same algorithm will be used in other bases

hundreds tens ones 1 3 4 - 7 8

hundreds tens ones 1 3 4 - 7 8

hundreds tens ones 1 3 4 - 7 8

hundreds tens ones 1 3 4 - 7 8 remove 8 pebbles

hundreds tens ones 1 3 4 - 7 8 remove 8 pebbles borrow

hundreds tens ones 1 2 3 4 - 7 8 1 remove 8 pebbles borrow

hundreds tens ones 1 2 3 4 - 7 8 1 remove 8 pebbles

hundreds tens ones 1 2 3 4 - 7 8 6 1

hundreds tens ones 1 2 3 4 - 7 8 6 1

hundreds tens ones 1 2 3 4 - 7 8 6 1 remove 7

hundreds tens ones 1 2 3 4 - 7 8 6 1 remove 7 borrow

hundreds tens ones 1 2 3 4 - 7 8 6 1 remove 7 borrow

hundreds tens ones 1 2 3 4 - 7 8 6 1 1 remove 7 borrow

hundreds tens ones 1 2 3 4 - 7 8 6 1 1 remove 7

hundreds tens ones 1 2 3 4 - 7 8 6 1 1 remove 7

hundreds tens ones 1 2 3 4 - 7 8 5 6 1 1

hundreds tens ones 1 2 3 4 - 7 8 5 6 1 1

base five example

twenty fives fives ones 1 3 15 - 4 35

twenty fives fives ones 1 3 15 - 4 35

twenty fives fives ones 1 3 15 - 4 35

twenty fives fives ones 1 3 15 - 4 35 remove 3 pebbles

twenty fives fives ones 1 3 15 - 4 35 remove 3 pebbles borrow

1 2 3 15 - 4 35 1 remove 3 pebbles twenty fives fives ones base 5

1 2 3 15 - 4 35 11 6 Think in base 10 6 1 remove 3 pebbles twenty fives fives ones 1 2 3 15 - 4 35 base 5 base 10 11 6 6 1 remove 3 pebbles

twenty fives fives ones 1 2 3 15 - 4 35 6 1 remove 3 pebbles

twenty fives fives ones 1 2 3 15 - 4 35 6 1

twenty fives fives ones 1 2 3 15 - 4 35 6 1 remove 4

twenty fives fives ones 1 2 3 15 - 4 35 6 1 remove 4 borrow

twenty fives fives ones 1 2 3 15 - 4 35 6 1 remove 4 borrow

twenty fives fives ones 1 2 3 15 - 4 35 1 6 1 remove 4 borrow

1 2 3 15 - 4 35 11 6 12 7 7 1 6 1 remove 4 twenty fives fives ones base 5 base 10 11 6 12 7 7 1 6 1 remove 4

1 2 3 15 - 4 35 11 6 12 7 7 1 6 1 remove 4 twenty fives fives ones base 5 base 10 11 6 12 7 7 1 6 1 remove 4

1 2 3 15 - 4 35 11 6 12 7 7 1 6 1 remove 4 twenty fives fives ones base 5 base 10 11 6 12 7 7 1 6 1 remove 4

1 2 3 15 - 4 35 11 6 12 7 7 1 6 1 twenty fives fives ones base 5

1 2 3 15 - 4 35 11 6 12 7 7 1 6 1 twenty fives fives ones base 5