# Scientific Notation

Definition: Scientific notation is a shorthand way of writing very big and very small numbers. A number is written in scientific notation when it is written as a number between 1 and 10, then a multiplication sign, and then the number 10 to an integer exponent.

Example: Write the number 135 in scientific notation.
Answer: 135=1.35 \times 100=1.35 \times 10^2 . (other examples)

Regulation:
The end result must be:
\underbrace {\,\, 1.35 \,\,}_{{\rm{number\,bigger\, or\, equal\, to\, 1\, and\, less\, than\, 10\,}}} \,\, \underbrace {\,\, \times \,\,}_{{\rm{ symbol\,\times }}} \,\, \underbrace {\,\, 10^2 \,\,}_{{\rm{ 10\, to\, a \, whole\, number \,exponent\,}}}

If the number is negative, the minus sign stays in the front: - 135 = - 1,35 \times 10^2

Scientific Notation and Calculators
On a calculator, there is no way to write   1.08 \times 10^9 . This problem is solved on a scientific calculator with exponential notation using the letter "E", that is: 1.08 \times 10^9 =1.08\,E\,08 .  Input of such a number is done using the Exp key. Namely to input the number 1,08 \times 10^9 , press the keys:  1 . 0 8 Еxp 9

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Categories: Glossary?