How do you change decimal scientific and vice versa?

Answer 1

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.

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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.