splash screen. lesson menu five-minute check (over lesson 9–3) then/now key concept: negative and...

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