Basic Electrical Theory METRIC SYSTEM AND POWERS OF TENRule4: To convert a number expressed as a negative power of 10 to a decimal number,move the decimal point to the left as many places as the value of the exponent.Example: To convert 5 x 10-3A, move the decimal point 3 places to the left(0.005), then drop the multiple of the power of 10, obtaining0.005A.5 x 10-3A = 0.005ARule5: To multiply 2 or more numbers expressed as powers of 10, multiply thecoefficients to obtain the new coefficient, and add the exponents to obtain the newexponent of 10.Example: To multiply 2 x 105 by 3 x 10-3, multiply 2 x 3 to get 6, then addthe exponents of the powers of 10, 5 + (-3), to get an exponent of2, obtaining a product of 6 x 102.(2 x 105) (3 x 10-3) = 6 x 102Rule6: To divide powers of 10, use the formula:110n1 x 10nWe can transfer any power of 10 from numerator to denominator, or vice-versa,simply by changing the sign of the exponent.Example: To divide 8 x 10-5 by 2 x 10-4, divide the numerical number 8 by2 = 4, then bring the power of 10, in the denominator, up to thenumerator and change the sign of its exponent, then add theexponents together:8x1052x1044x10544x101Rev. 0 Page A-7 ES-01
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