Lesson Menu

2. Lesson Menu Main Idea NGSSS Key Concept: Zero and Negative Exponents Example 1: Write Expressions using Positive Exponents Example 2: Write Expressions using Positive Exponents Example 3: Evaluate Expressions with Negative Exponents Example 4: Evaluate Expressions with Negative Exponents Example 5: Write Expressions using Negative Exponents Example 6: Write Expressions using Negative Exponents Example 7: Real-World Example: Use Negative Exponents Example 8: Multiply and Divide with Negative Exponents Example 9: Multiply and Divide with Negative Exponents Five-Minute Check

3. Write and evaluate expressions using negative exponents. Main Idea/Vocabulary

4. MA.8.A.6.3 Simplify real number expressions using the laws of exponents. NGSSS

5. Key Concept

6. Answer: Write Expressions using Positive Exponents Write 4–4 using a positive exponent. Definition of negative exponent Example 1

7. A.–57 B.57 C. D. Write 5–7 using a positive exponent. Example 1 CYP

8. Answer: Write Expressions using Positive Exponents Write c–7 using a positive exponent. Definition of negative exponent Example 2

9. A.r8 B.–r8 C. D. Write r–8 using a positive exponent. Example 2 CYP

10. Answer: Evaluate Expressions with Negative Exponents Evaluate 5–2. Definition of negative exponent 52 = 5 • 5 or 25 Example 3

11. A.–20 B. C. D. Evaluate 4–5. Example 3 CYP

12. Answer: Evaluate Expressions with Negative Exponents Evaluate (–8)–2. Definition of negative exponent (–8)2 = (–8)(–8) or 64 Example 4

13. A.–125 B. C. D.125 Evaluate (–5)–3. Example 4 CYP

14. Write as an expression using a negative exponent. Write Expressions using Negative Exponents 9 = 32 = 3–2Definition of negative exponent Answer: 3–2 Example 5

15. Write as an expression using a negative exponent. A. B. C.7–2 D.72 Example 5 CYP

16. Write as an expression using a negative exponent. Definition of negative exponent Write Expressions using Negative Exponents Answer: f –5 Example 6

17. Write as an expression using a negative exponent. A.m–6 B.–m6 C. D. Example 6 CYP

18. Use Negative Exponents SCIENCEA grain of salt weighs about 0.0001 gram.Write the decimal as a power of 10. Write the decimal as a fraction. 10,000 = 104 = 10–4Definition of negative exponent Answer: A grain of salt weighs about 10–4 gram. Example 7

19. FISHA sea horse travels about 0.01 mile per hour. Write the decimal as a power of 10. A.103 B.102 C.10–2 D.10–3 Example 7 CYP

20. Answer: Multiply and Divide with Negative Exponents Simplify a–5• a–3. Express using positive exponents. a–5• a–3 = a–5 + (–3)Product of Powers = a–8 Add the exponents. Definition of negative exponents Example 8

21. A.x10 B.x2 C. D. Simplify x4• x–6. Express using positive exponents. Example 8 CYP

22. Simplify . Express using positive exponents. Multiply and Divide with Negative Exponents Quotient of Powers = c2Subtract the exponents. Answer: c2 Example 9

23. Simplify . Express using positive exponents. A.812 B.86 C. D. Example 9 CYP

24. A.–76 B.76 C. D. Write 7–6 using a positive exponent. Five Minute Check 1

25. A. B. C.–103 D.103 Write (–10)–3 using a positive exponent. Five Minute Check 2

26. A. B. C.x5 D.(–x)5 Write x–5 using a positive exponent. Five Minute Check 3

27. Simplify 6–2 • 65. Express using positive exponents. A.6–3 B.63 C.6–10 D.610 Five Minute Check 4

28. Simplify . Express using positive exponents. A.8–15 B.8–2 C.82 D.815 Five Minute Check 5

29. A.–15xy3 B. C. D. Simplify –5x2y –2 • 3x–3y5. Express using positive exponents. Five Minute Check 6

30. Simplify . Express using positive exponents. A.ab B. C. D. Five Minute Check 5

31. Which of the following correctly shows 11–3, 111, 113, 110, and 11–1 in order from least to greatest? A.11–1, 11–3, 110, 111, 113 B.110, 11–3, 11–1, 111, 113 C.113, 111, 110, 11–1, 11–3 D.11–3, 11–1, 110, 111, 113 Five Minute Check 5