How many sunflowers are in this field?

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