daily dose:

Daily Dose:1. There are 3 kids sharing a bag of candy. If the bag of candy is

pounds of candy, how much does each kid get?

2. The definition of _________________ is repeated addition.

3. For example, the problem 8 + 8 + 8 + 8 could be rewritten as: _____________

4. How can you rewrite 8 x 8 x 8 x 8 ? ____________

Exponents!! * My goal is... to use patterns to generate the laws of exponents and apply them.    Where is an exponent?

What is an exponent? Why do we use exponents?

Location of Exponent

An exponent is a little number high and to the right of a regular number (base number).

3 4Base

Exponent

Definition of Exponent

An exponent tells how many times a number is multiplied by itself.

3 4Base

Exponent

3 = 3 x 3 x 3 x 34

Why do we use Exponents?

They make things simpler!

7 __ 7 x 7 x 7 =

Why do we use Exponents?

They make things simpler!

7 3 7 x 7 x 7 =

Exponent Language

This exponent is read three to the fourth power.

3 4Base

Exponent

Read These Exponents

3 2 6 72 3 5 4

Rewrite using Exponents

2 x 2 x 2 =

2 x 2 x 2 = 2 3

Rewrite using Exponents

9 x 9 =

Rewrite using Exponents

9 x 9 = 92

Rewrite using Exponents

5 x 5 x 5 x 5 x 5 =

Rewrite using Exponents

5 x 5 x 5 x 5 x 5 = 55

Rewrite using Exponents

1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 =

Rewrite using Exponents

1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1 8

Rewrite using Exponents

1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1 8

Rewrite using Exponents

1 =8

How to Multiply Out an Exponent to Find theStandard Form (simplify):

just multiply, one number at a time.

= 3 x 3 x 3 x 33

927

81

4

Simplify the Base and Exponentin Standard Form?

4 2= 16

2 3= 8

Simplify the Base and Exponentin Standard Form?

3 2= 9

Simplify the Base and Exponentin Standard Form?

5 0= 1

Simplify the Base and Exponentin Standard Form?

Daily Dose:1. What is the base number and what is the exponent?

2. What is the value of 9 to the second power?

3. Write in EXTENDED FORM: (written all out):

A: B:

Exponents Are Often Used inArea Problems to Show the

Feet Are Squared

Length x width = areaA pool is a rectangleLength = 30 ft.Width = 15 ft.Area = 30 x 15 = 450 ft. 2

15ft.

30ft

Exponents Are Often Used inVolume Problems to Show the

Centimeters Are CubedLength x width x height = volumeA box is a rectangleLength = 10 cm.Width = 10 cm.Height = 20 cm.Volume =

20 x 10 x 10 = 2,000 cm.3

10

10

10

Here Are Some AreasChange Them to Exponents

40 feet squared = 40 ft.56 sq. inches = 56 in.38 m. squared = 38 m.56 sq. cm. = 56 cm.

2

2

2

2

Here Are Some VolumesChange Them to Exponents

30 feet cubed = 30 ft.26 cu. inches = 26 in.44 m. cubed = 44 m.56 cu. cm. = 56 cm.

3

3

3

3