1. Multiplying and Dividing Integers We are learning to…multiply and divide integers by looking for patterns. Thursday, August 13, 2015

2. Multiplication of Integers Evaluate: -2 + -2 + -2 + -2 = ________ Repeated addition is the same thing as:__________________...so -2 + -2 + -2 + -2 can be written:________ Evaluate: -4 + -4 + -4 = ______________ Repeated addition is the same thing as:__________________...so -4 + -4 + -4 can be written:________ -8 Multiplication 4(-2) -12 Multiplication 3(-4)

3. Multiplication of Integers Evaluate: -7 + -7 + -7 + -7 + -7 = ______________...Rewrite as a multiplication problem:_________ Evaluate: -12 + -12 = ______________...Rewrite as a multiplication problem:_________ Evaluate: -1 + -1 + -1 + -1 + -1 = ______________...Rewrite as a multiplication problem:_________ -35 5(-7) -24 2(-12) -5 5(-1)

4. Multiplication of Integers I know that:(positive number) × (negative number) = _______________________________________. The ______________________________ property of multiplication allows me to multiply in any order. So I also know that (negative number) × (positive number) = _______________________________________. Negative Number Commutative Negative Number Evaluate the expressions below. When your entire group is finished share your solutions.

5. Multiplication of Integers Negative × Positive = _______________ and Positive × Negative = _______________ If the signs in a multiplication problem are different the solution is:_______________ I know that a: positive × positive = ______________ Now follow the pattern:(+)(–) = ______________ (–)(+) = ______________ (+)(+) = ______________ So…(–)(–) = ______________ I know that a:negative × negative = _________________________ If the signs in a multiplication problem are the same the solution is:_______________ Negative Positive Negative Positive

6. 7(-8) = _____ A. 56 B. -56 C. -1 D. -15 1234567891011121314151617181920 2122232425262728

7. -6(-7) = _____ A. 49 B. -42 C. -13 D. 42 1234567891011121314151617181920 2122232425262728

8. -9(3) = _____ A. 27 B. -6 C. -36 D. -27 1234567891011121314151617181920 2122232425262728

9. Which of the following statements is NOT true? A. A negative multiplied by a negative is a positive product. B. A positive multiplied by a negative is a negative product. C. A negative multiplied by a negative is a negative product. D. A negative multiplied by a positive is a negative product. 1234567891011121314151617181920 2122232425262728

10. Division of Integers The Division Algorithm: If then Example 1: Negative divided by a Positive: or… so… Negative divided by a positive will always result in a:______________ cba -8 Negative

11. Division of Integers The Division Algorithm: If then Example 2: Positive divided by a Negative: or… so… Positive divided by a negative will always result in a:______________ cba -7 Negative

12. Division of Integers The Division Algorithm: If then Example 2: Negative divided by a Negative: or… so… Negative divided by a negative will always result in a:______________ cba 6 6 Positive

13. Division of Integers Wait a minute…these look familiar! These are the same rules as:____________________________ If the signs in a division problem are different the solution is:______________ If the signs in a division problem are the same the solution is:_____________ Negative Multiplication Positive

14. Evaluating Integer Expressions Thursday, August 13, 2015

15. Evaluate: A. 8 B. -8 C. 7 D. -9 1234567891011121314151617181920 2122232425262728

16. Evaluate: A. 21 B. -20 C. -22 D. -21 1234567891011121314151617181920 2122232425262728

17. Evaluate: A. -7 B. 7 C. 8 D. -6 1234567891011121314151617181920 2122232425262728

18. Evaluating Integer Expression Today you will use the Order of Operations and your knowledge about integer operations to simplify some complex expressions. Order of Operations: Parentheses Exponents Multiplication and Division Addition and Subtraction

19. Evaluate: A. -14 B. -30 C. 20 D. -8 E. I need help with this. 1234567891011121314151617181920 2122232425262728

20. Evaluate: A. 315 B. -105 C. 3 D. -76 E. I need help with this. 1234567891011121314151617181920 2122232425262728