How to Convert Scientific Notation into Standard Form

When a number has been put into scientific notation, it is important to know how to convert it back into its original form, which is called standard form.

Difficulty:

Moderate

Instructions

How to Convert Scientific Notation into Standard Form

1. Look at the exponent. In this case, we will use 7.19 x 10^6 as our scientific notation. The exponent is 6.

2. If the exponent is a positive number, move the decimal point the same number of places to the right as the number of the exponent.In 7.19 x 10^6, the exponent is 6 and it is positive. So, move the decimal point 6 places to the right in the first factor (7.19). 7.19 becomes 7,190,000 Thus, 7,190,000 is the standard form for 7.19 x 10^6. Note: you must add zeros in all empty spaces.

3. If the exponent is a negative number, move the decimal point the same number of places to the left as the number of the exponent.In 8.16 x 10^-3, -3 is the exponent so move the decimal point, 3 places to the left in the first factor (8.16). In this case, 8.16 will become .00816. Thus, .00816 is the standard form for 8.16 x 10^-3. Note: you must add zeros in all empty spaces.