Tuesday, October 5 (Blue)Wednesday, October 6 (Gold)

• Today’s Agenda1. Fill in planner

1. Practice 4-9

2. Vocabulary Review

3. Ch. 4 Test Thursday (Blue) or Friday (Gold)

2. Bell Work

• Note taking worksheet 4-9 (Scientific Notation)

• Group Practice• Independent work

Time

1697 101010

853 101010

235 101010

336 101010

Multiplying and Dividing Exponents

Objective

• SWBAT– write and evaluate numbers in scientific

notation– calculate with scientific notation

• Why?– To solve real world problems involving weight

and mass.

Vocabulary

a way to write numbers using powers of ten. You write a number in scientific notation as the product of two factors.

1210

1 10

standard form

Writing standard numbers in Scientific Notation

35.075

This is a number

written in standard

form.

To write this in scientific notation, the decimal must be moved one place to the left

3.5075Since you moved the decimal 1 place to the left, we write the number in scientific notation:

3.5075 x 101

Exponent is 1 since we moved the decimal 1 place.

2,987

This is a comma, not a decimal

To write in scientific notation, add a decimal to the end of the number:

●

Move the decimal to the left:

123

2.987 x 103

Exponent is 3 because we moved the decimal 3

places

0.0873

To write a decimal number in scientific notation, the decimal needs to be moved to the right two places

Move the decimal to the right:

008.73

1 2

8.73 x 10-2

When you move the

decimal to the right, the

exponents are negative!

Drop any zeroes before the ones place in your number!

Examples

standard1

10

6

6

66

Examples

1

10

4

4

-4

-4

Changing Scientific Notation to Standard Form

4.687 x 102

Since the exponent is 2,

move the decimal 2 places to the

right.

1 2

468.7

Drop the x 102

when writing in standard form.

6.87 x 10-4

Since the exponent is

negative, move the decimal to the

left 4 spaces.

000

●

Add 0’s when needed to move the decimal.

1234

.000687

Drop the x 10-4

Examples

36,000 0.0072

(Science) Example

Commutative

10.1add-4

1 1-4

add-3

1.01 X 10-3

5.45 x 107 2.1 x 10-4

32,100,000 0.000000059

56.8 x 10-4

5.68 x 10-3

10.02 x 10-24

1.002 x 10-23

Objective

• SWBAT– write and evaluate numbers in scientific

notation– calculate with scientific notation

• Why?– To solve real world problems involving weight

and mass.