The Math of Scientific Notation Chemistry Dr. May

Multiplying 40,000,000,000 x 200,000 = (4.0 x ) (2.0 x 10 5 ) 8,000,000,000,000, x 10 15

Multiplying (4.0 x ) (2.0 x 10 5 ) 4.0 x 2.0 = x 10 5 = = (4.0 x ) (2.0 x 10 5 ) = 8.0 x 10 15

Multiplying 40,000,000,000 x = (4.0 x ) (2.0 x 10 –5 ) 800,000 = 8.0 x 10 5

Multiplying (4.0 x ) (2.0 x 10 –5 ) 4.0 x 2.0 = x 10 –5 = (–5) = – 5 = 10 5 (4.0 x ) (2.0 x 10 –5 ) = 8.0 x 10 5

Multiplying x = (4.0 x 10 –10 ) (2.0 x 10 –5 ) = 8.0 x 10 –15

Multiplying (4.0 x 10 –10 ) (2.0 x 10 –5 ) 4.0 x 2.0 = –10 x 10 –5 = 10 –10+(–5) = 10 –10 –5 = 10 –15 (4.0 x 10 –10 ) (2.0 x 10 –5 ) = 8.0 x 10 –15

Dividing 4.0 x x  2.0 =  10 5 = – 5 = x = 2.0 x x 10 5

Dividing 4.0 x x 10 –5 4.0  2.0 =  10 –5 = – (– 5) = = x = 2.0 x x 10 –5

Dividing 4.0 x 10 – x 10 –5 4.0  2.0 = –10  10 –5 = 10 –10 – (– 5) = 10 – –5 4.0 x 10 –10 = 2.0 x 10 –5 2.0 x 10 –5

Squaring (3.0 x 10 8 ) 2 (3.0) 2 = 9.0 (10 8 ) 2 = 10 2x8 = (3.0 x 10 8 ) 2 = 9.0 x 10 16

Square Roots ____________  9.0 x _____ _______  9.0 = 3.0  =  2 = 10 8 _____________  9.0 x = 3.0 x 10 8

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