Scientific Notation and Engineering NotationDate: 10/10/2001 at 02:05:30 From: mark mckenzie Subject: Engineering notation The question given is: convert 0.000 000 000 000 000 000 000 3 to a) scientific notation b) engineering notation For the scientific I have come up with 3^-22. I'm not sure about that and have no idea of engineering notation. Please help. Date: 10/10/2001 at 09:13:48 From: Doctor Rick Subject: Re: Engineering notation Hi, Mark. The number in scientific notation is not 3 raised to the minus 22nd power, but 3 times 10 raised to the minus 22nd power: 3 * 10^-22 Computers often use a notation like 3E-22 but this is just shorthand for what I wrote; the E does not mean "raised to the power." Scientific notation and engineering notation are similar; the difference is in the restrictions on the numbers. In scientific notation, the numeric part must be at least 1.0 and less than 10.0, and the exponent can be any integer. In engineering notation, on the other hand, the exponent must be a multiple of 3. To accommodate this extra restriction on the exponent, the numeric part has more freedom: it must be at least 1.0 and less than 1000.0. That is, you can have 1 to 3 digits to the left of the decimal point. To convert a number to engineering notation, start from the decimal point and count digits in groups of 3 until you get to the right side of a group that includes the most significant digit. When working with numbers less than 1, it goes like this: 0.00045 0.000,450, \_____/ 6 digits 450 * 10^-6 When working with numbers greater than 1, it goes like this: 450000.0 450,000.0 \_/ 3 digits 450 * 10^3 I hope this helps! Let me know if you're still confused; show me what you think you should do with your problem. - Doctor Rick, The Math Forum http://mathforum.org/dr.math/ |
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