• Please take out HW (Wks “section 1-3 Exponents”

• Write Down Homework• Complete Warm Up

Thursday, August 25th

1. Write in exponential form: 3 x 3 x 4 x 4 x 4

2. Write in standard form: 12 cubed

Warm Up

Corny Joke of the Day

What did the pretty rock say to the ugly rock?

You are not very gneiss looking

Tests

You will get back

tomorrow

Exponents

RAISE YOUR HAND WHEN YOU FIND THE

ANSWERIF YOU BLURT OUT AN

ANSWER YOU’RE DISQUALIFIED

Candy Toss

Anything raised to the power of 0 =?

1 =

Standard form

4 cubed

Exponential form form

1 x 3 x 3 x 1

5 =

10 =

Table of contents Unit #2 Unit Name: Exponents, O of O, Scientific Notation, and Square Roots

Date: 8/24Section: 1-3Title: ExponentsPages: 1-2

Table of contents Unit #2 Unit Name: Exponents,

O of O, Scientific Notation, and Square Roots

Date: 8/25Section: 1-3Title: Scientific NotationPages: 3-4

Vocabulary

Scientific Notation:

Method of writing numbers that are very large OR Small.

Has two parts: 1. Decimal

x2. Power of 10 1.8 x 10-3

I. The first part

There MUST be ONLY ONE digit to the left of the decimal. Between $1.00 but less than $10.00

Examples: 3.45, 1.320 Non-Examples: 11.56, .0565

We must move the decimal in order to meet this rule.

Write the width of the universe in scientific notation

210,000,000,000,000,000,000,000 miles

Where is the decimal point now?

Where would you put the decimal to make this number be between 1 and 10?

Write the width of human hair in scientific notation

.0018 cm Where is the decimal point now?

Where would you put the decimal to make this number be between 1 and 10?

If you do not see a decimal point in a number, it is understood to be at the end of the number.

Reading Math

Helpful Hint #1

23 = 23.0

Positive Exponent

•What you notice about the exponent and the number of zeroes?

Negative Exponent

•What do you notice about the exponent and the number of zeroes?

II. Powers of 10

Conclusion?

Positive Exponent

Move decimal point to the RIGHT

Exponent corresponds with the amount of zeroes after 1

Negative Exponent

Move the decimal point to the LEFT

Exponent minus 1 corresponds with the amount of zeroes before 1

Find the value of each power of 10.

a. 10–2 c. 1010 b. 105

10,000,000,000100,0000.01

Start with 1.0 and move the decimal point two places to the left.

Start with 1.0 and move the decimal point five places to the right.

Start with 1.0 and move the decimal point ten places to the right.

YOU TRY!

Write each number as a power of 10

A. 1,000,000

The decimal point is six places to the right of 1, so the exponent is 6.

B. 0.0001 C. 1,000

The decimal point is four places to the left of 1, so the exponent is –4.

The decimal point is three places to the right of 1, so the exponent is 3.

Writing Powers

III. Puttingit all together!Scientific to Standard

Steps 1. Look at

EXPONENT Positive=Right Negative=Left 2. Move decimal

that direction3. Empty spaces fill

in with a zero!

Just Watch!Write in Standard form

3

102.34 x

1. Positive exponent= move DECIMAL to right

2. 2340.0

Standard form refers to the usual way that numbers are written—not in scientific notation.

Reading Math

Helpful Hint #1

You Try!!!

1. 23.5 x

2. .04 x

3. 9.2 x

4. .007 x

5

102

10

4

10

4

10

To the left, to the left….?

To the right, to the right….?

IV. Standard to Scientific

Steps: 1. Write the number

with only one number to the left of the decimal

2. Power of 10:How do I get back to the

original decimal? Right=Positive Left=Negative 3. Put it all together!

Just Watch! Write in Scientific

Notation2345

1. 2.3452. Move to right to get

to 2345.3 to the right=

3. 2.345 x

3

103

10

You try!!!!!

1. .0023

2. 233456

3. .0001234

4. 12345

Stuck?Got

notes!

Any Questions?!?!?!?!

WORKSHEET 1-3 EXPONENTS

Homework