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Scientific Notation

A short-hand way of writing large numbers

without writing all of the zeros.

The Distance From the Sun to the Earth

93,000,000

Step 1

- Move decimal left
- Leave only one number in front of decimal

93,000,000 9.3000000

Step 2

- Write number without zeros

93,000,000 9.3

Step 3

- Count how many places you moved decimal
- Make that your power of ten

The power of ten is 7 because the decimal moved

7 places.

- 93,000,000 --- Standard Form

- 9.3 x 107 --- Scientific

Notation

Practice Problem

Write in scientific notation. Decide the power

of ten.

- 98,500,000 9.85 x 10?
- 64,100,000,000 6.41 x 10?
- 279,000,000 2.79 x 10?
- 4,200,000 4.2 x 10?

More Practice Problems

On these, decide where the decimal will be moved.

- 734,000,000 ______ x 108
- 870,000,000,000 ______x 1011
- 90,000,000,000 _____ x 1010

Answers

3) 9 x 1010

- 7.34 x 108

2) 8.7 x 1011

Complete Practice Problems

Write in scientific notation.

- 50,000
- 7,200,000
- 802,000,000,000

Answers

1) 5 x 104

2) 7.2 x 106

3) 8.02 x 1011

Scientific Notation to Standard Form

Move the decimal to the right

- 3.4 x 105 in scientific notation

- 340,000 in standard form

Write in Standard Form

Move the decimal to the right.

- 6.27 x 106
- 9.01 x 104

- 6,270,000
- 90,100

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