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1. 1. ADDITION AND SUBTRACTION OF INTEGERS The University of Texas at Dallas
2. 2. Introduce symbols + (plus) - (minus)
3. 3. ADDING INTEGERS We can model integer addition with tiles. Represent -2 with the fewest number of tiles Represent +5 with the fewest number of tiles. The University of Texas at Dallas
4. 4. ADDING INTEGERS What number is represented by combining the 2 groups of tiles? Write the number sentence that is illustrated. -2 + +5 = +3 The University of Texas at Dallas +3
5. 5. ADDING INTEGERS Use your red and yellow tiles to find each sum. -2 + -3 = ? The University of Texas at Dallas ANSWER + = -5 -2 + -3 = -5
6. 6. ADDING INTEGERS The University of Texas at Dallas -6 + +2 = ? + = - 4 + = +1 -3 + +4 = ? ANSWER ANSWER -6 + +2 = -4 -3 + +4 = +1
7. 7. Addition Rule 1) When the signs are the same, ADD and keep the sign. (-2) + (-4) = -6 2) When the signs are different, SUBTRACT and use the sign of the bigger number. (-2) + 4 = 2 2 + (-4) = -2
8. 8. -1 + 3 = ? 1. -4 2. -2 3. 2 4. 4 Answer Now Negative one plus three is equal to two.
9. 9. -6 + (-3) = ? 1. -9 2. -3 3. 3 4. 9 Answer Now Negative six plus negative three is equal to negative nine.
10. 10. Karaoke Time! Addition Rule: Sung to the tune of “Row, row, row, your boat” Same sign, keep and add! Different sign: subtract, Take the sign of the bigger number, Then you will be exact! Let’s Go
11. 11. When subtracting, change the subtraction to adding the opposite (keep-change-change) and then follow your addition rule. Example #1: - 4 - (-7) - 4 + (+7) Diff. Signs --> Subtract and use larger sign. 3 Example #2: - 3 - 7 - 3 + (-7) Same Signs --> Add and keep the sign. -10
12. 12. Which is equivalent to -12 – (-3)? Answer Now 1. 15 2. -9 3. -15 4. 9 Negative twelve minus negative three is equal to negative nine.
13. 13. 7 – (-2) = ? Answer Now 1. -9 2. -5 3. 5 4. 9 Seven minus negative two is equal to nine.