Scientific Notation

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INTRODUCTION TO SCIENTIFIC NOTATION

Scientific Notation is an abbreviation to write down numbers that are really big or small.

STEPS

1. Locate the decimal point (start 10 to the 0)

2. Move the decimal point until you have one digit

3. Write number with the new position

4. Place the new number with how many times you move the decimal point (10^)

* Exponent goes UP if you move LEFT (positive +) / Exponent goes DOWN if you move RIGHT (negative -)

* When given scientific notation get back to 10^0

EXAMPLES

- 25,300,000,000,000. miles = 2.5

2.53 x 10^13

- 0.000 000 02.03 seconds = 2.03

2.03 x 10^-8

EXERCISE

1. 3,749,000,000 = 3.749 x 10^9

2. 0.00005269 = 5.269 x 10^-5

3. 813,000,000,000,000 = 8.13 x 10^14

4. 0.000 000 0214 = 2.14 x 10^-8

5. 7.921 x 10^8 = 792,100,000

6. 8.2 x 10^-5 = 0.000 082

7. 4.13 x 10^3 = 4,130

8. 5.2216 x 10^-9 = 0.000 000 005 2216