SCIENTIFIC NOTATION

Scientific to Large

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 Large 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 right. 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 right of the last non-zero number to provide enough digits.
| A number written in Scientific Notation has been converted to Standard Notation.

Example 1 Convert 3.047 x 106 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. | 3.047
| Move the decimal point in the first number to the right. | 3 . 0 4 7 0 0 0 .
| Move it the number of places equal to the exponent on the 10 in the original Scientific Notation. | 3 .0 4 7 0 0 0.
Step 2 | If necessary, add zeros to the right of the last non-zero number to provide enough digits. | 3 .0 4 7 0 0 0.
| A number written in Scientific Notation has been converted to Standard Notation. | In Standard Notation, 3.047 x 106 is written 3 0 4 7 0 0 0