Converting to Scientific Notation | MathHelp.com - Free Educational videos for Students in K-12 | Lumos Learning

Converting to Scientific Notation | MathHelp.com - Free Educational videos for Students in k-12


Converting to Scientific Notation | MathHelp.com - By MathHelp.com



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00:0-1 To write a number such as 642,000 in scientific notation
00:06 . First write a decimal point in the number so
00:09 that there's only one digit to the left of the
00:11 decimal point . So here we have 6.42000 . Notice
00:20 that there is now only one digit to the left
00:23 of the decimal point . Next count the number of
00:26 places that we would need to move the decimal point
00:28 in order to get back to the original number ,
00:31 We would need to move the decimal .1 2345 places
00:37 to the right to get back to the original number
00:40 . This means that we need to multiply 6.42000 times
00:46 10 to the 5th power . Notice that our exponent
00:51 is positive . That's because we needed to move the
00:54 decimal point to the right to get back to the
00:56 original number . So 642,000 can be written in scientific
01:01 notation as 6.42000 times 10 to the fifth power ,
01:08 or 6.42 times 10 to the fifth power
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