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Scientific Notation Introduction KLMS

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by

Jerry Karacz

on 10 February 2012

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Transcript of Scientific Notation Introduction KLMS

small sometimes we use numbers that are really...
and sometimes we use numbers that are really...
and this can make numbers difficult to read... 93,200,000,000 0.00000074 0.0000104 672,346,109,000 0.00000000000000882 1,750,000,000,000 75,000,000 0.0004059 The population of China is approximately 1,324,655,000! A proton has a diameter of approximately 0.0000000000002 cm. so what do we do? 10 the answer lies in the number... BIG to a power POSITIVE or NEGATIVE light travels at a speed of approx. 299,792,458 m/s
that's FAST! 300,000,000 is the same as... 3 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 or 3 x 10 8 multiplying by powers of 10 creates 'exponential' growth powers of 10 are actually easy to work with! the exponent tells you
how far to move the decimal BIG 10 + numbers are expressed with positive exponents 10 - numbers are expressed with negative exponents small let's take an even
closer look... this is pretty stuff! 10 positive . 0.000031 The United States produces 220,000,000 tons of municipal waste per year! That is a lot of dough! human hair Can you say frequent flier miles! The distance between Earth and the sun so . . . when will we ever use this? glad you asked! :) now you tell me . . . which is easier to read? Let's explore... let's just say 300,000,000 m/s greater than 1 negative 10 between 0 and 1 -1 0 2 3 1 4 5 . 3,466,090,320 Would you need to use
scientific notation
to represent... the number of months in a year? gallons of water in the atlantic ocean? thickness of a contact lens in inches? the population of Europe? the distance from Austin to San Antonio in miles? Would the following values have a positive or negative exponent when expressed in scientific notation? 0.0000056 mm $3,500,000 9,000,000 gallons 0.125 in IMPORTANT! 1 when you write numbers in scientific notation you MUST remember the digits have to be greater than... 10 ...and less than such as: 1.2 x 10 5.76 x 10 7.0 x 10 9.98 x 10 3.125 x 10 11.01 x 10 Ahh almost tricked ya!

11.01 is too big! now let's review... here's what I mean.. now that wasn't so bad... A negative exponent means you have a negative number. True or False John wrote 3,214,000 in scientific notation as 32.14 x 10 5 A proton has a diameter of approximately 0.0000000000002 cm. _ The population of China is approximately 1,324,655,000! 2 x 10 cm -12 _ _ 1.3 x 10 ! 9 How good is your memory? NO!
32 is not between 1 and 10! so what is is?
3.124 x 10 is he correct? 6 3,214,000 was it? I hope you got a 1.0 x 10 % 2 Scientific Notation Created by: Jerry Karacz BIG or small 3.41 x 10 8.01 x 10 6.4 x 10 1.2 x 10 6 -7 11 -5 3.2 x 10 the exponent tells you
how far to move the decimal -5 3.2 0 0 0 0 0.000032 65,000,000 . powerful -4 9 -7 4 -6 6 1.101 x 10 7 11,010,000 . . . in 3,ooo years?
There you go!!!
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