1. Properties of Real Numbers Section R-1 Chapter R: Review 9/20/2015 2:31 AMR-1: Properties of Real Numbers1

2. Translating Words 9/20/2015 2:31 AMR-1: Properties of Real Numbers2 ActionOperationPossible Context Clues CombineAddSum, Add, Total SeparateSubtract Difference, Subtract Combine equal groups MultiplyProduct, Multiply Separate into equal groups Divide Quotient, Divide

3. Quick Examples 9/20/2015 2:31 AMR-1: Properties of Real Numbers3 Write an algebraic expression to represent each situation. A. the number of apples in a basket of 12 after n more are added B. the number of days it will take to walk 100 miles if you walk M miles per day Add n to 12. Divide 100 by M. 12 + n

4. Quick Examples 9/20/2015 2:31 AMR-1: Properties of Real Numbers4 Write an algebraic expression to represent each situation. C. the difference of a number less 2 equals 7. n – 2 = 7 D. Write out: 21 ÷ 7 = 3 The quotient of 21 and 7 is 3.

5. Order of Operations 9/20/2015 2:31 AMR-1: Properties of Real Numbers5 To evaluate operations, one way to remember the order of operations is by using the mnemonic PEMDAS. REMEMBER: Multiplication and Addition doesn’t always go first before Division and Subtraction Order of Operations 1. Parentheses and grouping symbols. 2. Exponents. 3. Multiply and Divide from left to right. 4. Add and Subtract from left to right.

6. 9/20/2015 2:31 AMR-1: Properties of Real Numbers6 PEMDAS parenthesis – combine these first PEMDAS exponents – apply the exponent now PEMDAS complete multiplication and division, left to right PEMDAS complete addition and subtraction, left to right Example 1

7. 9/20/2015 2:31 AMR-1: Properties of Real Numbers7 PEMDAS parenthesis – combine these first PEMDAS exponents – apply the exponent now PEMDAS complete multiplication and division, left to right PEMDAS complete addition and subtraction, left to right Example 2

8. 9/20/2015 2:31 AMR-1: Properties of Real Numbers8 Example 3 PEMDAS PEMDAS 2 + [4 + 2 · 16] 2 + [4 + 32] 2 + 36

9. 9/20/2015 2:31 AMR-1: Properties of Real Numbers9 Your Turn

10. 9/20/2015 2:31 AMR-1: Properties of Real Numbers10 Example 4

11. 9/20/2015 2:31 AMR-1: Properties of Real Numbers11 Example 5 3 1 2 1

12. 9/20/2015 2:31 AMR-1: Properties of Real Numbers12 Your Turn

13. 9/20/2015 2:31 AM1-2 : Properties of Real Numbers13 Warm_Up #2 1. Solve 2. Write the equation of “The product of 5 and x is the product of 2 and 10.” 9/20/2015 2:31 AM13R-1: Properties of Real Numbers

14. 9/20/2015 2:31 AMR-1: Properties of Real Numbers14 Add/Subtract fractions 1.List the factors of the bottom number to find the “Least Common Denominator” 2.Multiply the LCD to the top number 3.Evaluate by add or subtracting across BUT keeping the bottom number

15. 9/20/2015 2:31 AMR-1: Properties of Real Numbers15 Example 6 6 3 6 8 What are the MULTIPLES of the denominator: What is the SMALLEST SAME MULTIPLE

16. 9/20/2015 2:31 AMR-1: Properties of Real Numbers16 Example 7

17. 9/20/2015 2:31 AMR-1: Properties of Real Numbers17 Your Turn

18. 9/20/2015 2:31 AMR-1: Properties of Real Numbers18 Assignment Pg 16 27-65 odd, OMIT 43