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Lesson Menu Five-Minute Check (over Lesson 9–3) Then/Now Key Concept: Negative and Zero Exponents Example 1: Write Expressions Using Positive Exponents Example 2: Use Negative Exponents Example 3: Real-World Example: Use Negative Exponents Example 4: Algebraic Expressions with Negative Exponents

Over Lesson 9–3 5-Minute Check 1 A B C D.10 4 Find 10 8 ● 10 4.

Over Lesson 9–3 5-Minute Check 2 A.a 25 B.a 10 C.2a 5 D.a 0 Find a 5 ● a 5.

Over Lesson 9–3 5-Minute Check 3 A B C.10 4 D.10 2 Find 10 8 ÷ 10 4.

Over Lesson 9–3 5-Minute Check 4 A.x 27 B.x 12 C.x 7 D.x 6

Over Lesson 9–3 5-Minute Check 5 A.20y 5 B.9y 5 C.9y 3 D.–y 3 Find 4y ● 5y 4.

Over Lesson 9–3 5-Minute Check 6 A.1,000,000 B.100,000 C.10,000 D.1000 In the metric system, one kiloliter is equal to 10 3 liters. One liter is 10 3 milliliters. How many milliliters are in one kiloliter?

Then/Now You evaluated expressions containing positive exponents. (Lesson 9–1) Write expressions using negative exponents. Evaluate numerical expressions containing negative exponents.

Concept

Example 1 A Write Expressions Using Positive Exponents A. Write 3 –4 using a positive exponent. Definition of negative exponent Answer:

Example 1 B Write Expressions Using Positive Exponents B. Write m –2 using a positive exponent. Definition of negative exponent Answer:

Example 1 CYP A A. Write 5 –3 using a positive exponent. A.5 3 B. C. D.5 2

Example 1 CYP B B. Write y –6 using a positive exponent. A. B.y 6 C. D.

Example 2 A Use Negative Exponents =5 –3 Definition of negative exponent Answer: 5 –3 Definition of exponent A.

Example 2 B Use Negative Exponents Definition of negative exponent. Answer: 8 –4

Example 2 CYP A A. B.2 –6 C.2 –4 D.2 –5 A.

Example 2 A. B. C.3 –7 D.–21

Example 3 Use Negative Exponents ATOM An atom is an incredibly small unit of matter. The smallest atom has a diameter of approximately of a nanometer, or meter. Write the decimal as a fraction and as a power of 10. Write the decimal as a fraction.

Example 3 Use Negative Exponents Definition of negative exponent

Example 3 WEATHER Fog is composed of cloud droplets with a diameter of meter. Write the decimal as a fraction and as a power of ten. A. B. C. D.

Example 4 Algebraic Expressions with Negative Exponents Evaluate 16r –3 if r = –4. Replace r with –4. Definition of negative exponent Find (–4) 3. Simplify.

Example 4 Algebraic Expressions with Negative Exponents Simplify.

Example 4 Evaluate 24x –2 if x = –2. A. B. C.4 D.6

End of the Lesson