1-2 Exponents

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes

1-2 Exponents

Warm UpMultiply.

1. 3 3 3

27

64

16

625

2. 4 4 4

3. 2 2 2 2

4. 5 5 5 5

1-2 Exponents

Problem of the Day

Replace the letters a, b, and c with the numbers 3, 4, and 5 to make a true statement.2a + 2a = bc

25+ 25 = 43

1-2 Exponents

Prep for MA.6.G.4.1 …Calculate…the area of circles.

Also Review of MA.5.A.6.2

Sunshine State Standards

1-2 Exponents

Vocabulary

exponentbaseexponential form

1-2 Exponents

A number is in exponential form when it is written with a base and an exponent.

7733Base

Exponent

= 7 7 7= 343

An exponent tells how many times a number called the base is used as a factor.

1-2 Exponents

Exponential Form 101

Read “10 to the 1st power”

Multiply 10

Value 10

1-2 Exponents

Exponential Form 102

Read“10 squared,” or

“10 to the 2nd power”

Multiply 10 10

Value 100

1-2 Exponents

Exponential Form 103

Read“10 cubed,” or

“10 to the 3rd power”

Multiply 10 10 10

Value 1,000

1-2 Exponents

Exponential Form 104

Read “10 to the 4th power”

Multiply 10 10 10 10

Value 10,000

1-2 Exponents

Additional Example 1: Writing Numbers in Exponential Form

Write each expression in exponential form.

A. 5 5 5 5

B. 3 3 3 3 3

5 is a factor 4 times.54

3 is a factor 5 times.35

1-2 Exponents

Check It Out: Example 1

Write each expression in exponential form.

A. 7 7 7

B. 6 6 6 6 6 6

7 is a factor 3 times.73

6 is a factor 6 times.66

1-2 Exponents

Additional Example 2: Finding the Value of Numbers in Exponential Form

Find each value.

A. 26

B. 45

26

45

= 2 2 2 2 2 2

= 64

= 4 4 4 4 4

= 1,024

1-2 Exponents

Check It Out: Example 2

Find each value.

A. 34

B. 25

34

25

= 3 3 3 3

= 81

= 2 2 2 2 2

= 32

1-2 Exponents

A phone tree is used to contact families at Paul’s school. The secretary calls 4 families. Then each family calls 4 other families, and so on. How many families will be notified during the fourth round of calls?

11 Understand the Problem

The answer will be the number of families called in the 4th round.

List the important information:

• The secretary calls 4 families.

• Each family calls 4 families.

Additional Example 3: Problem Solving Application

1-2 Exponents

You can draw a diagram to see how many calls are in each round.

22 Make a Plan

Secretary

1st round–4 calls

2nd round–16 calls

1-2 Exponents

Solve33Notice that in each round, the number of calls is a power of 4.

1st round: 4 calls = 4 = 41

2nd round: 16 calls = 4 4 = 42

So during the 4th round, there will be 44 calls. 44 = 4 4 4 4 = 256

During the 4th round of calls, 256 families will be notified.

Look Back44Drawing a diagram helps you see how to use exponents to solve the problem.

1-2 Exponents

Check It Out: Example 3

A phone tree is used to contact families at Paul’s school. The secretary calls 3 families. Then each family calls 3 other families, and so on. How many families will be notified during the fourth round of calls?

11 Understand the Problem

The answer will be the number of families called in the 4th round.

List the important information:

• The secretary calls 3 families.

• Each family calls 3 families.

1-2 Exponents

You can draw a diagram to see how many calls are in each round.

22 Make a Plan

Secretary

1st round–3 calls

2nd round–9 calls

1-2 Exponents

Solve33Notice that in each round, the number of calls is a power of 3.

1st round: 3 calls = 3 = 31

2nd round: 9 calls = 3 3 = 32

So during the 4th round, there will be 34 calls. 34 = 3 3 3 3 = 81

During the 4th round of calls, 81 families will be notified.

Look Back44Drawing a diagram helps you see how to use exponents to solve the problem.

1-2 Exponents

Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

1-2 Exponents

Lesson Quiz

Write each expression in exponential form.

1. 12 12 12

2. 9 9 9 9 9 9 9

Find each value.

3. 202 4. 64

5. In a phone tree, each of 3 people will call 3

people, and then each of those will call 3 more.

How many people will be called during the 5th

round of calls?

97

123

400 1,296

243

1-2 Exponents

1. Which of the following represents 15 15 15 in exponential form?

A. 1524

B. 1533

C. 1542

D. 1551

Lesson Quiz for Student Response Systems

1-2 Exponents

2. Which of the following represents 12 12 12 12 12 12 12 in exponential form?

A. 1255

B. 1266

C. 1277

D. 1288

Lesson Quiz for Student Response Systems

1-2 Exponents

3. Identify the value of 402.

A. 400

B. 200

C. 1200

D. 1600

Lesson Quiz for Student Response Systems

1-2 Exponents

4. Identify the value of 54.

A. 125

B. 225

C. 625

D. 1225

Lesson Quiz for Student Response Systems

1-2 Exponents

5. Sarah opened a savings account, and deposited $3 on the first day. Then, each day she deposited triple the amount of the previous day for five days. How much did she deposit on the fifth day?

A. $9

B. $81

C. $243

D. $729

Lesson Quiz for Student Response Systems