Addition Algorithm

1. Algorithms for Integer Arithmetic Addition Algorithm

2. Three Steps to Adding Two Integers STEP 1. Do they have the same sign ? (both positive or both negative) or Do they have opposite signs ? (one positive and the other negative)

3. Same Signs STEP 3. Now enter the sum of the absolute values: (add the magnitudes) STEP 2. Enter the common sign:

4. Opposite Signs STEP 3. Enter the difference of the larger magnitude and the smaller: STEP 2. Enter the sign of the number having the larger magnitude:

5. Work it out!

6. Step 1 They have opposite signs. Same or opposite signs?

7. Step 2 Enter the sign of the number having the larger magnitude: |-34| = 34 > 12 = |12|

8. Step 3 Subtract the smaller magnitude from the larger and enter the result.

9. Work it out!

10. Step 1 They have opposite signs. Same or opposite signs?

11. Step 2 Enter the sign of the number having the larger magnitude: |29| = 29 > 14 = |-14|

12. Step 3 Subtract the smaller magnitude from the larger and enter the result.

13. Work it out!

14. Step 1 They are both positive. Same or opposite signs?

15. Step 2 The sign is positive.

16. Step 3 Add the magnitudes and enter the result.

17. Work it out!

18. Step 1 They are both negative. Same or opposite signs?

19. Step 2 The sign is negative.

20. Step 3 Add the magnitudes and enter the result.

21. Adding Many Integers 1. Add all the positive numbers and add all the negative numbers: 2. Add the two signed numbers:

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38. Work it out! Rigid use of an algorithm is not always best.

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41. Moral Look before you leap! Many problems can be worked in your head if you do things in the right order.