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# Scientific Notation

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.

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## Scientific Notation

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1. Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.

2. The Distance From the Sun to the Earth 93,000,000

3. Step 1 • Move decimal left • Leave only one number in front of decimal 93,000,000 = 9.3000000

4. Step 2 • Drop the zeros after the decimal point • This number is called the COEFFICIENT 9.3000000 = 9.3

5. Step 3 • Multiply your COEFFICIENT by 10…just write the X 10. 9.3 x 10

6. 7 93,000,000 = 9.3 x 10 Step 4 • Count how many places originally you moved decimal • Make that your power of ten

7. The power of ten is 7 because the decimal moved 7 places. 7 93,000,000 = 9.3 x 10

8. 93,000,000 --- Standard Form • 9.3 x 107 --- Scientific Notation

9. 9.85 x 107 -----> 6.41 x 1010 -----> 2.79 x 10-6 -----> 4.2 x 106 -----> 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? • 0.00000279 = 2.79 x 10? • 4,200,000 = 4.2 x 10?

10. More Practice Problems On these, decide where the decimal will be moved. • 0.0000681 = ______ x 10-5 • 870,000,000,000 = ______x 1011 • 90,000,000,000 = _____ x 1010 Answers 3) 9 x 1010 • 6.81 x 10-5 2)8.7 x 1011

11. Complete Practice Problems Write in scientific notation. • 50,000 • 0.0000072 • 802,000,000,000 Answers 1) 5 x 104 2) 7.2 x 10-6 3) 8.02 x 1011

12. 3.40000 --- move the decimal ---> Scientific Notation to Standard Form If exponent is positive, move decimal to the RIGHT. If exponent is negative, move decimal to the LEFT! • 3.4 x 105 in scientific notation • 340,000 in standard form

13. 6.27 x 106 9.01 x 10-4 6,270,000 0.000901 Write in Standard Form Move the decimal to the right.

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