1. For use with pages xxx–xxx 9/12/12 Warm-Up 1. + = 6.217.3 ? – 2. = 26.9–( ) 5.8– ? ANSWER 32.7 ANSWER 11.1– 3. A climber is 10400 ft above sea level. He descends 500 ft to a fellow climber. What is his new height above sea level? – ANSWER 9900 ft 4.Find 1721 – – 5. ANSWER 38 – ANSWER 11.8

2. ALGEBRA GAME PLAN Date 9/9/13 Monday Section 1-6: Multiplying and Dividing Real Numbers Objective Students will be able to multiply and divide real numbers. Algebra California Standard Homework P 41 - 44, #1-12 (choose 5), 32 – 39 (choose 3), Announcement Quiz, Wednesday 9/11

3. ALGEBRA 1 The Rules of Multiplying and Dividing Real Numbers Two numbers that are multiplied or divided with the SAME SIGN give a POSITIVE answer +  + = +-  - = + +  + = +-  - = + Two numbers that are multiplied or divided with DIFFERENT SIGNS give a NEGATIVE answer +  - = --  + = - +  - = --  + = -

4. ALGEBRA 1 Math Dog (Multiply or Divide)

5. ALGEBRA 1 Math Dog (Multiply or Divide) -4  9 -4 +9 -36 the answer is negative

6. ALGEBRA 1 Math Dog (Multiply or Divide) -24  -3 -24 -3 8 8 the answer is positive

7. ALGEBRA 1 Simplify each expression. a. –3(–11) –3(–11) = 33 The product of two negative numbers is positive. b. –6 ( ) 3434 The product of a positive number and a negative number is negative. –6 ( ) = – 3434 18 4 Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples = _ 9 2

8. ALGEBRA 1 Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples Practice Simplify each expression. (choose 4) 1)-8(3) 2)4(-4) 3)-20(-6 + 2) 4)-7(-1.2) 5)-11(⅛) 6)15(- ⅗ ) 7)| (-12)2 | 8)| (-10)(-5) | Answers 1)-24 2)-16 3)80 4)8.4 5)-11/8 6)-9 7)24 8)50

9. ALGEBRA 1 Properties of Multiplication

10. ALGEBRA 1 Which property is this? 10(0) = 0 Multiplication Property of Zero

11. ALGEBRA 1 Which property is this? -1(8) = -8 Multiplication Property of Negative One

12. ALGEBRA 1 Which property is this? 23(1) = 23 Identity Property of Multiplication

13. ALGEBRA 1 Use the order of operations to simplify each expression. a. –0.2 4 = –0.0016Simplify. = 0.0016Simplify. b. (–0.2) 4 Write as repeated multiplication.–(0.2 0.2 0.2 0.2) = Write as repeated multiplication.(–0.2)(–0.2)(–0.2)(–0.2) = Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples I DO WE DO

14. ALGEBRA 1 Use the order of operations to simplify each expression. a. (–0.3) 3 = –0.027 = -0.027 b. –0.3 3 (–0.3)(–0.3)(–0.3) = Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples YOU DO TOGETHER –(0.3 0.3 0.3)

15. ALGEBRA 1 Simplify each expression. a.100 ÷ (–5) b.–54 ÷ (–9) The quotient of a positive number and a negative number is negative. = –20 The quotient of a negative number and a negative number is positive. = 6 Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples

16. ALGEBRA 1 Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples Practice Simplify each expression. (choose 3) 1)-24 ÷(- 4) 2)36 ÷ (-3) 3)-16 ÷ (-6 + 2) 4)-1 ÷ (0.2) 5)- 23 ÷ (3) 6)15 ÷ (8 – 11) Answers 1)6 2)-12 3)4 4)-5 5)-23/3 or -7⅔ 6)-5

17. ALGEBRA 1 One More Property A number’s multiplicative inverse is the of that number. RECIPROCAL

18. ALGEBRA 1 Find the Multiplicative Inverse 1. ⅘ 2. -7 3. ⅚ 4. -⅓ 1. 5 / 4 2. - 1 / 7 3. 6 / 5 4. -3

19. ALGEBRA 1 Ticket out the door (TOD) Given: a = -5, b = -2, m = -3, and p = -1 Evaluate 1) 6ab 1) (mp) 3 2) a + m bp

20. ALGEBRA 1 9/13/12 Warm Up Simplify 1.-13(4) 2.-8(-9 + 2) 3.72 ÷ (-12) 4.-10 2 ÷ (-2) 5.(2 – 3)(7)(-6 + 9) 6.What is another word for multiplicative inverse? Answers 1.-52 2.56 3.-6 4.50 5.-21 6.. reciprocal

21. ALGEBRA GAME PLAN Date 9/10/13 Tuesday Section 1-6: Multiplying and Dividing Real Numbers Objective Students will be able to multiply and divide real numbers. Algebra California Standard Homework P 41 – 44: Choose 2 from each set (18-24), (25-30), (48-53) Everyone must do 54, 61, 97, 98 Announcement Quiz, Wednesday 9/11

22. ALGEBRA 1 Evaluate 5rs for r = –18 and s = –5. 5rs = 5(–18)(–5)Substitute –18 for r and –5 for s. = –90(–5)5(–18) results in a negative number, –90. = 450–90(–5) results in a positive number, 450. Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples

23. ALGEBRA 1 Evaluate -3ab for a = –7 and s = 9. 5rs = 5(–18)(–5)Substitute –18 for r and –5 for s. = –90(–5)5(–18) results in a negative number, –90. = 450–90(–5) results in a positive number, 450. Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples

24. ALGEBRA 1 Practice

25. ALGEBRA 1 Use the expression –5.5 ( ) to calculate the change in temperature for an increase in altitude a of 7200 ft. a 1000 –5.5 ( ) = –5.5 ( ) 7200 1000 a 1000 Substitute 7200 for a. = –5.5(7.2)Divide within parentheses. = –39.6°FMultiply. The change in temperature is –39.6°F. Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples

26. ALGEBRA 1 Evaluate – – 4z 2 for x = 4, y = –2, and z = –4. = – 4(16)Simplify the power. –4 –2 = 2 – 64Divide and multiply. = –62Subtract. xyxy – – 4z 2 = – 4(–4) 2 Substitute 4 for x, –2 for y, and –4 for z. xyxy –4 –2 Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples

27. ALGEBRA 1 Evaluate for p = and r = –. = –2Simplify. prpr 3232 3434 = p ÷ rRewrite the equation. prpr = ÷ Substitute for p and – for r. 3434 ( – ) 3232 3232 3434 = Multiply by –, the reciprocal of –. 4343 ( – ) 3232 4343 3434 Multiplying and Dividing Real Numbers LESSON 1-6 Additional Examples

28. ALGEBRA 1 Practice

29. ALGEBRA 1 Simplify. 1.–8(–7)2. –6(–7 + 10) – 4 Evaluate each expression for m = –3, n = 4, and p = –1. 3. + p4. (mp) 3 5. mnp 6.Evaluate 2a ÷ 4b – c for a = –2, b = –, and c = – 56 – 22 –72712 8mn8mn 1313 1212 3 1212 Multiplying and Dividing Real Numbers LESSON 1-6 Lesson Quiz.