2DefinitionScientific notation is simply a method for expressing, and working with very large or very small numbers. It is a short hand method for writing numbers, and an easy method for calculations.
3Numbers in scientific notation are made up of three parts: the coefficient, the base and the exponent.
4The three parts in scientific notation: Coefficient -> 6.5Base > 10Exponent -> 7
5Scientific Notation In Standard Form 5.67 x 105This is the scientific notation for the standard number, 567,000. Now look at the number again, with the three parts labeled.
6Example5.67 x 105 coefficient base exponent In order for a number to be in correct scientific notation, the following conditions must be true:1. The coefficient must be greater than or equal to 1 and less than The base must be The exponent must show the number of decimal places that the decimal needs to be moved to change the number to standard notation.
7NotationsStandard Notation Scientific Notation 93,000, x 107
8ProblemHow do you write 5.9 x 107 in standard notation? A) 59,000 B) 59,000,000 C) 590 D) 590,000,000
9How to Convert from Scientific Notation to Standard Form To change a number from scientific notation to standard form, move the decimal point to the right. You should move the point as many times as the exponent indicates.3.8 x ,000,000
10How To Convert from Scientific Notation To Standard For When The Exponent Is Negative A negative exponent means that the decimal is moved to the left when changing to standard notation.2.5 x