(:title Glossary:) (:title Scientific Notation:) >>nav_bar<<%exa%[[glossary/scienceexa1|Examples]]      %pra%[[glossary/sciencepra|Practice]]      %mor%[[glossary/sciencemor|More]]      %up%[[glossary/S|S]] >><< [[<<]] ---- >>dknavy<< %def%Definition:%% %red%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. ---- %exa%Example:%% Write the number 135 in scientific notation. %ans lindent% Answer: %% {$135=1.35 \times 100=1.35 \times 10^2$} . ([[glossary/scienceexa1|%exa u%other examples]]) %reg%Regulation:%% The end result must be: {$\underbrace {\,\, 1.35 \,\,}_{{\rm{number\,bigger\, or\, equal\, to\, 1\, and\, less\, than\, 10\,}}} \,\, \underbrace {\,\, \times \,\,}_{{\rm{ symbol\,\times }}} \,\, \underbrace {\,\, 10^2 \,\,}_{{\rm{ 10\, to\, a \, whole\, number \,exponent\,}}}$} %lindent%If the number is negative, the %purple%minus sign%% stays in the front: {$- 135 = - 1,35 \times 10^2$}\\ \\ %reg%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 ------------- %rel%Related Topics: * Significant digits * Magnitude * Exponents with scientific notation * Roots with scientific notation * Multiplying and dividing with scientific notation * [[ScienceAdd|%mor u% Adding and subtracting with scientific notation]] [[!Glossary]]