5.4 Scientific Notation Goals: 1.) To write numbers in scientific notation 2.) To multiply and divide scientific notation
Scientific Notation a shortcut for very large/small numbers The distance from earth to the north star is 10,000,000,000,000,000,000 meters. Fewer errors if we write as 1.0 x ?
Given a # in Standard Notation write it in Scientific Notation 1.Move decimal until the # is 1 ≤X <10 2.Then mult. that # by 10 to a power 3.The power will be the # of times you moved the decimal (if u moved to the rt it’s a neg. exp. If u moved to the lft it is a positive exp.)
Scientific Notation Write an equivalent expression using scientific notation: 3, 10 3 Must be at least 1.0 and no more than …
Scientific Notation Write an equivalent expression using scientific notation: Must be at least 1.0 and no more than …
Change from scientific notation to standard form: move the decimal the same amt of times as the exp. (if the exp + move to the right and if the exp is – move to the left) 1.25 x
Change from scientific notation to standard form: 7.0 x ,000
Change from scientific notation to standard form: 4.8 x
Change from scientific notation to standard form: 1.8 x
Multiply Using Properties (3.0 x 10 5 )(4.1 x ) 12.3 x x 10 3
Divide Using Properties. Show your answer in scientific notation 0.5 x x
Divide Using Properties. Show your answer in scientific notation 2.0 x 10 3
Divide Using Properties. Show your answer in scientific notation 0.3 x x 10 6
Homework Page 219 (2-40) even