1 / 15

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.

stamey
Download Presentation

Scientific Notation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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. What do you do if the number is less than 1? • 0.000036 • 3.6 x 10 -5 • 0.0000007589 • 7.589 x 10 -7 • 0.000000000000256987 • 2.56987 x 10 -13 The decimal moves to the right And the exponent will be negative.

  12. 3.40000 --- move the decimal ---> Scientific Notation to Standard Form Move the decimal to the right if exponent is positive. • 3.4 x 105 in scientific notation • 340,000 in standard form

  13. 6.27 x 106 9.01 x 104 6,270,000 90,100 Write in Standard Form Move the decimal to the right.

  14. Scientific Notation to Standard Form • Move the decimal to the left is the exponent is negative. • 3.6 x 10-6 • 7.85 x 10-2

  15. 6.27 x 10 -6 9.01 x 10 -4 Write in Standard Form Move the decimal to the right.

More Related