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## 8.4 Scientific Notation

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**Scientific notation is used to write very large and very**small numbers in powers of 10.**Decimal formPower of 10Name**1,000,000,000 109 one billion 1,000,000 106 one million 1,000 103 one thousand 100 102 one hundred 10 101 ten 1 100 one .1 10-1 one tenth .01 10-2 one hundredth .001 10-3 one thousandth**Form: c 10n where c is a number > 1 and <10**Change decimals to scientific notation: 93,000,000 .00000625 9.3 107 6.25 10-6**Scientific Notation to decimal form:**2.83 105 1.5 10-7 283,000 0.00000015**Multiplying Scientific notation:**(3.2 106) ( 4.2 104) 3.2 4.2 106 104 13.44 1010 1.344 1011 Combine like terms Multiply numbers and add exponents Pull out another positive power of 10, so 1010 + 101 = 1011!**Dividing with scientific notation:**4.5 10-7 Divide numbers 9.0 10-4 Subtract exponents .5 10-7-(-4) .5 10-3 5 10-4 .0005 Simplify. or