SCIENTIFIC NOTATION

Scientific to Small

Concept: Scientific Notation is a method used to write very small and very large numbers in an abbreviated way. A number in Scientific Notation is expressed as the product of a number between one and nine and a power of ten (i.e. 2.3 x 103).

Steps for Converting Scientific Notation Numbers

To Small (Decimal) Standard Notation Numbers

Step 1 | Write only the first number in the Scientific Notation. Do not write the multiplication sign or the number 10 with the exponent.
| Move the decimal point in the first number to the left. Move it the number of places equal to the exponent on the 10 in the original Scientific Notation.
Step 2 | If necessary, add zeros to the left of the first number to provide enough digits.
| A number written in Scientific Notation has been converted to Standard Notation.

Example 1 Convert 1.888 x 10–3 from Scientific Notation to Standard Notation.

Step 1 | Write only the first number in the Scientific Notation. Do not write the multiplication sign or the number 10 with the exponent. | 1.888
| Move the decimal point in the first number to the left. Move it the number of places equal to the exponent on the 10 in the original Scientific Notation. | 0 .0 0 1. 8 8 8
Step 2 | If necessary, add zeros to the left of the first number to provide enough digits. | 0.0 0 1 8 8 8
| A number written in Scientific Notation has been converted to Standard Notation. | In Standard Notation, 1.888 x 10–3 is written 0.001888