Presentation Transcript
Slide 1:SCIENTIFIC NOTATION ... a way to express very small or very large numbers that is often used in "scientific" calculations where the analysis must be very precise.
Slide 2:Scientific Notation is a way of writing a number as a multiplication problem where….
the first number is greater than one but less than ten
and
the second number is a power of 10.
Slide 3:POWERS OF 10 Notice that the negative powers are decimals.
Slide 4:To Change from Standard Form to Scientific Notation:
(1) Place decimal point such that there is one non-zero digit to the left of the decimal point. Â
(2) Count number of decimal places the decimal has "moved" from the original number. This will be the exponent of the 10. Â
(3) If the original number was less than 1, the exponent is negative; if the original number was greater than 1, the exponent is positive.
Slide 5:4,750,000
Use 4.75 (moved 6 decimal places)
answer:Â 4.75 X 106 Example: The original number was greater than 1 so the exponent is positive.
Slide 6:0.000789
Use 7.89 (moved 4 decimal places)
answer:Â 7.89 x 10-4
The original number was less than 1 so the exponent is negative. Example:
Slide 7:Try these: 61,500 = 4
6.15 x 10 84,960,000 = 7
8.496 x 10 321 = 2
3.21 x 10
Slide 8:Try these: 0.000527 = -4
5.27 x 10 0.0000004 = -7
4 x 10 REMEMBER, the first number must be 1 or more, but less than 10. That means the first number before the decimal point can be 1, 2, 3, 4, 5, 6, 7, 8, or 9.
Slide 9:To Change from Scientific Notation to Standard Form:
(1) Move decimal point to RIGHT for POSITIVE exponent of 10. Â
(2) Move decimal point to LEFT for NEGATIVE exponent of 10.
Slide 10:Example: 5.024 x 103
answer:Â 5,024Â Â
(3 places to right)
Positive exponent- move decimal to the right.
Slide 11:1.015 x 10-8
answer:Â 0.00000001015
(8 places to left)
Negative exponent- move decimal to the left. Example:
Slide 12:Write in standard form… try these: 5
1.09 x 10 = 109,000 4
4.2273 x 10 = 42,273 -3
9.42 x 10 = 0.00942
Slide 13:Now turn to the scientific notation page in your packet.
Practice writing numbers in scientific notation and in standard form.
If there’s time, there’s a link is a 9 minute video about powers of ten on the next slide. It’s pretty cool…
Slide 14:http://video.google.com:80/videoplay?docid=8095482682672703968&pr=goog-sl Click on the link to play the movie: http://www.youtube.com/watch?v=yCfDRvDWid0&mode=related&search= There’s shorter version of this on YouTube featuring The Simpsons. I don’t know if it will play at school. You may want to search Simpsons Power of 10 to see it at home.