How many sunflowers are in thisfield?

How muchwater do the people of Chicagouse daily?

9,100,000,000 liters

What is the mass

of the sun?

Earth

2 000 000 000 000 000 000 000 000 000 000 000g

9,100,000,000 liters

2 000 000 000 000 000 000 000 000 000 000 000g

So how can we write this in simpler way??

Scientific Notation:

•Scientific notation is used to express very large or very small numbers.

Parts of Scientific Notation

2.32 x 107

A number between 1 and

10

x 10 to some power

Determine whether or not the given expression in a Scientific Notation

• 2.32 x 107 _________________

• 1 x 10-8 _________________

• 51.4 x 10-2 _________________

• 7.08 x 119 _________________

Scientific Notation

Scientific Notation

Not a Scientific Notation

Not a Scientific Notation

Writing Scientific Notation

Step 1: Place the decimal after the first number

9.1

Step 2: Count the number of places

9.1 x 109

9 100 000 000.

Writing Scientific Notation

Step 1: Place the decimal after the first number

8.32

Step 2: Count the number of places

8.32 x 108

832 000 000.

Writing Scientific Notation

Step 1: Place the decimal after the first number

5.03

Step 2: Count the number of places

5.03 x 10-7

0 000 000 503.

Writing Scientific Notation

Step 1: Place the decimal after the first number

4.2

Step 2: Count the number of places

4.2 x 10-8

0 000 000 042.

Express each set in Scientific Notation

1. 4 230 ___ x 10_2. 312 000 000 ___ x 10_3. 500 000 ___ x 10_4. 0.000 000 123 ___ x 10_5. 0.000 045 ___ x 10_

4.23 3

3.12 8

51.234.5

5

-7

-5

Writing Standard form

Step 1: Move the decimal point 4 places to the right

6 43

Step 2: Put zeros if needed

64 300

6 43 x 104.

. .00

Writing Standard form

Step 1: Move the decimal point 7 places to the right

3 07

Step 2: Put zeros if needed

30 700 000

3 07 x 107.

. .00000

Writing Standard form

Step 1: Move the decimal point 3 places to the left

2 03

Step 2: Put zeros if needed

0.002 03

2 03 x 10-3.

.. 00

Writing Standard form

Step 1: Move the decimal point 7 places to the left

8

Step 2: Put zeros if needed

0.000 000 8

8 x 10-7.

.. 000000

Express each set in Scientific Notation

1. 3 x 103 ____________2. 9.11 x 108 ____________3. 2.01 x 102 ____________4. 4.7 x 10-6 ____________5. 8.21 x 10-5 ____________

3 000

911 000 000201

0.000 004 70.000 082 1

Review: Express each set in Scientific Notation

1. 40 300 ___ x 10_2. 300 100 000 ___ x 10_3. 7 020 000 ___ x 10_4. 0.000 563 ___ x 10_5. 0.000 004 5 ___ x 10_

4.03 4

3.001 8

7.025.634.5

6

-4

-6