Scientific Notation What is Scientific Notation Scientific Notation

Scientific Notation

What is Scientific Notation? Scientific Notation is used for numbers that really big really small are _____ or ______ Exponent Number Base

What is Scientific Notation? We use scientific notation for numbers 1000 or smaller than _____ greater than _____ 0. 01 Sometimes we need to use scientific notation to represent the correct number of ________ Significant Figures

What is Scientific Notation? When using scientific notation, the number 10 must be greater than __, 1 but less than ___ Examples: 42. 5 x 104 Incorrect Correct 4. 25 x 105 0. 425 x 106 Incorrect

Converting Scientific Notation When converting standard notation to scientific notation, _________ count the number of ________________ decimal places moved to get a number _______ between 1 and 10 If the original number was bigger than 10, positive the exponent is _______ If the original number was less than 1, the exponent is _______ negative

Converting Scientific Notation Examples 12000000 102100000 0. 0000105 0. 000000012 8314500000 1. 2 x 107 1. 021 x 108 1. 05 x 10 -5 1. 2 x 10 -8 8. 3145 x 1013

Converting Scientific Notation When converting scientific notation to standard notation, _________ move the decimal the ________________ same number of places as the exponent right If the exponent is positive move to the ______ left If the exponent is negative move to the _____

Converting Scientific Notation Examples 1. 25 x 107 1. 21 x 109 3. 05 x 10 -5 6. 78 x 10 -12 3. 14 x 106 12 500 000 1 210 000 0. 0000305 0. 000 000 00678 3 140 000

Scientific Prefixes Scientists will often use prefixes to change the size of a basic unit We do this every day We base many lengths or distances off of a metre _______ centimetre ______ kilometre _______,

Common Scientific Prefixes Prefix Symbol Exponent kilo- k 103 centi- c 10 -2 milli- m 10 -3 micro- μ 10 -6 nano- n 10 -9

Using Scientific Prefixes We can replace scientific notation with a exponents scientific prefix on the unit if the_____ are the same Example 1500 m = 1. 5 x 103 m = 1. 5 km 0. 0053 g = 5. 3 x 10 -3 g = 5. 3 mg

Using Scientific Prefixes Sometimes we will change numbers to incorrect scientific notation to use our scientific prefixes Example 15200 m = 15. 2 x 103 m = 15. 2 km 0. 0537 g = 53. 7 x 10 -3 g = 53. 7 mg