How do you change decimal scientific and vice versa? - Answers

Best illustrated by examples. A) scientific notation --> decimal Ex1) 4.235x10^4 or 4.235E4 = 4.235 * 1x10^4 = 42350. Take the number 4.235 and move the decimal point four places to the right and drop the multiplier 10^4 to get the decimal number. Ex2) 6.874x10^-4 or 6.874E-4 = 0.0006874. Take the decimal point of the number 6.784 and move it four places to the left and drop the multiplier 10^-4. B) decimal --> scientific notation Ex3) 0.273562 = 2.73562x10^-1 or 2.73562E-1. Move the decimal point between the first and second digits. That is, the decimal point is placed between the digits 2 and 7. Since it is accomplished by moving the decimal point one place to the right, we include 10^-1 as the multiplier. Ex4) 865.265 = 8.65265x10^2 = 8.65265E2. Move the decimal point between the first and second digits. That is, the decimal point is placed between the digits 8 and 6. Since it is accomplished by moving the decimal point two places to the left, we include 10^2 as the multiplier. Ex5) 0.000314 = 3.14E-4. Ex6) 2475.88 = 2.47588E3. ----------------------------------------------- P.S. Just in case. for a multiplier of x10^4, the digit 4 is the exponent, or the superscript to the right of the number 10, in an expression.