Scientific NotationDate: 03/06/97 at 18:50:26 From: DAVE KUSH Subject: scientific notation I'm having a hard time writing 32,500,000,000 in scientific notation. Wondering in Pennsylvania. Thanks, Dr. Math. Sincerely, Puzzled Date: 03/08/97 at 17:20:16 From: Doctor Mike Subject: Re: scientific notation Hi Dave, To write this in scientific notation it must be a number between 1 and 10 times a power of 10. The effect of the multiplication by a power of 10 is to place the decimal point correctly. The number between 1 and 10 is a place to start from, before moving the decimal point. Your number has an implied (un-written) decimal point after the 8 zeros. Place it between the 3 and 2 to get the number 3.25 which is between 1 and 10. Now think of 3.25 as 3.2500000000000000 so you have room to move the decimal point. How many places "N" to the right do you need to move it to get your number? I count N = 10. Then you write the number as 3.25 * 10^N (here a^b means a to the power b, which is the same as a with exponent b). Positive values of the exponent N move the decimal point to the right. Negative values move it to the left, since multiplying by a negative power of 10 is like dividing by a power of 10. N = 0 leaves the decimal place the same. Examples: 3.25 * 10^4 = 3.25 * 10000 = 32500 3.25 * 10^0 = 3.25 * 1 = 3.25 3.25 * 10^-4 = 3.25 / 10000 = 0.000325 I hope this helps. -Doctor Mike, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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