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Five-Minute Check (over Lesson 9–3)Then/NowKey Concept: Negative and Zero ExponentsExample 1: Write Expressions Using Positive
ExponentsExample 2: Use Negative ExponentsExample 3: Real-World Example: Use Negative
ExponentsExample 4: Algebraic Expressions with Negative
Exponents
Over Lesson 9–3
A. 1032
B. 1013
C. 1012
D. 104
Find 108 ● 104.
Over Lesson 9–3
A. a 25
B. a10
C. 2a5
D. a0
Find a5 ● a5.
Over Lesson 9–3
A. 1032
B. 1012
C. 104
D. 102
Find 108 ÷ 104.
Over Lesson 9–3
A. x 27
B. x12
C. x7
D. x
6
Over Lesson 9–3
A. 20y5
B. 9y5
C. 9y3
D. –y3
Find 4y ● 5y4.
Over Lesson 9–3
A. 1,000,000
B. 100,000
C. 10,000
D. 1000
In the metric system, one kiloliter is equal to 103 liters. One liter is 103 milliliters. How many milliliters are in one kiloliter?
You evaluated expressions containing positive exponents. (Lesson 9–1)
• Write expressions using negative exponents.
• Evaluate numerical expressions containing negative exponents.
Write Expressions Using Positive Exponents
A. Write 3–4 using a positive exponent.
Definition of negative exponent
Answer:
Write Expressions Using Positive Exponents
B. Write m–2 using a positive exponent.
Definition of negative exponent
Answer:
A. Write 5–3 using a positive exponent.
A. 53
B.
C.
D. 52
B. Write y–6 using a positive exponent.
A.
B. y6
C.
D.
Use Negative Exponents
= 5–3
Definition of negative exponent
Answer: 5–3
Definition of exponent
A.
Use Negative Exponents
Definition of negative exponent.
Answer: 8–4
A.
B. 2–6
C. 2–4
D. 2–5
A.
A.
B.
C. 3–7
D. –21
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 0.0000000001
meter. Write the decimal as a fraction and as a powerof 10.
Write the decimal as a fraction.
Use Negative Exponents
Definition of negative exponent
WEATHER Fog is composed of cloud droplets with a diameter of 0.00001 meter. Write the decimal as a fraction and as a power of ten.
A.
B.
C.
D.
Algebraic Expressions with Negative Exponents
Evaluate 16r –3 if r = –4.
Replace r with –4.
Definition of negative exponent
Find (–4)3.
Simplify.
Algebraic Expressions with Negative Exponents
Simplify.
Evaluate 24x–2 if x = –2.
A.
B.
C. 4
D. 6