Color Chip Model for Operations of Integers

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# Color Chip Model for Operations of Integers

## Color Chip Model for Operations of Integers

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##### Presentation Transcript

1. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents ˉ1 When a black chip is combined with a red chip, they will cancel each other (because 1 + (ˉ1) = 0 ). (This process is known as ZERO PAIRING.) (click to see animation)

2. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents ˉ1 When a black chip is combined with a red chip, they will cancel each other (because 1 + (ˉ1) = 0 ). Color Chip Model for Operations of Integers

3. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents ˉ1 When a black chip is combined with a red chip, they will cancel each other (because 1 + (ˉ1) = 0 ).

4. + + − + + − + Color Chip Model for Operations of Integers Addition – means combining sets of chips Example: (ˉ3) + 5 (click to see animation)

5. + + − + + − + Color Chip Model for Operations of Integers Addition – means combining sets of chips Example: (ˉ3) + 5

6. Color Chip Model for Operations of Integers Addition – means combining sets of chips Example: (ˉ3) + 5 − + + − + + − +

7. Color Chip Model for Operations of Integers Addition – means combining sets of chips Example: (ˉ3) + 5 + + There are only 2 black chips left, so the answer is +2.

8. Example for Lab 1. Use Color chips to perform ˉ3 + 8 start with 3 red chips bring in 8 black chips cancel out blk-red pairs, and there will be 5 black chips left, hence the answer is 5.

9. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents ˉ1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (ˉ1) + 1. (click to see animation)

10. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents –1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (-1) + 1.

11. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents ˉ1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (ˉ1) + 1.

12. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents ˉ1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (ˉ1) + 1.

13. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents ˉ1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (ˉ1) + 1.

14. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents ˉ1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (ˉ1) + 1.

15. Color Chip Model for Operations of Integers a black chip represents +1 a red chip represents ˉ1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (ˉ1) + 1.

16. Color Chip Model for Operations of Integers Subtraction – means taking away of chips Example: 4 − 7 There are not enough chips to take away, so we need to bring in pairs of red/black chips. (click to see animation)

17. Color Chip Model for Operations of Integers Subtraction – means taking away of chips Example: 4 − 7 Now we have enough black chips to take away. (click)

18. Color Chip Model for Operations of Integers Subtraction – means taking away of chips Example: 4 − 7

19. Color Chip Model for Operations of Integers Subtraction – means taking away of chips Example: 4 − 7 There are 3 red chips left, so the answer to 4 –7 is -3

20. Color Chip Model for Operations of Integers Subtraction – means taking away of chips Example: 4 − 7 There are not enough chips to take away, so we need to bring in pairs of red/black chips. (click to see animation)

21. Color Chip Model for Operations of Integers Subtraction – means taking away of chips Example: 4 − 7 Now we have enough black chips to take away. (click)

22. Color Chip Model for Operations of Integers Subtraction – means taking away of chips Example: 4 − 7

23. Color Chip Model for Operations of Integers Subtraction – means taking away of chips Example: 4 − 7 There are 3 red chips left, so the answer to 4 –7 is -3

24. Example for Lab 2. Use Color chips to perform 4 – (ˉ2) start with 4 black chips Want to take away 2 red chip, but there is no red chips, so bring in 2 red-black pairs. Now take way 2 red chips, and the answer is seen to be 6.