15 mm- is equal to (MAQ a) 15 x 10-2 cm2 b) 15 x 10-6 m2 c) 15 x 10-12 km d) 15 km^2
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Answer:
adapted from Taber's Cyclopedic Medical Dictionary, 1973
Sometimes it is necessary to use very large or very small numbers. These can best be handled in calculations by the use of scientific notation or exponents. To use scientific notation, transform the number so that it becomes a number between 1 and 10, then multiply this number by the appropriate power of 10.
EXAMPLES:
1234 = 1.234 X 103
0.01234 = 1.234 X 1/100 = 1.234 X 10-2
0.001234 = 1.234 X 1/1000 = 1.234 X 10-3
To convert a number to its equivalent in scientific notation:
Place the decimal point to the right of the first non-zero digit. This will now be a number between 1 and 10.:
(a.) 1234 goes to 1.234
or
(b.) 0.01234 goes to 1.234
Multiply this number by a power of 10, the exponent of which is equal to the number of places the decimal point was moved. The exponent is positive if the decimal point was moved to the left, and negative if it was moved to the right.:
(a.) 1.234 x 103
or
(b.) 1.234 x 10-2
EXAMPLE:
1,234,000 x 0.000072/6000 = 1.234 x 106 x 7.2 x 10-5/6.0 x 103
Now by simply adding the exponents of 10, and remembering that moving an exponent from the denominator of the fraction to the numerator changes its sign:
= 1.234 x 106 x 10-5 x 10-3 x 7.2/6 = 1.234 x 7.2 x 10-2/6
= 8.8848 x 10-2/6 = 1.4808 x 10-2 or 0.014808
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Answer:
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