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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. Write number without zeros.

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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 • Write number without zeros 93,000,000 = 9.3

  5. 7 93,000,000 = 9.3 x 10 Step 3 • Count how many places you moved decimal • Make that your power of ten

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

  7. 93,000,000 --- Standard Form • 9.3 x 107 --- Scientific Notation

  8. 9.85 x 107 -----> 6.41 x 1010 -----> 2.79 x 108 -----> 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? • 279,000,000 = 2.79 x 10? • 4,200,000 = 4.2 x 10?

  9. 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

  10. 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

  11. 3.40000 --- move the decimal ---> Scientific Notation to Standard Form Move the decimal to the right • 3.4 x 105 in scientific notation • 340,000 in standard form

  12. 6.27 x 106 9.01 x 104 6,270,000 90,100 Write in Standard Form Move the decimal to the right.

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