 # Using Scientific Notation in Multiplication and Division Lesson Two and Lesson Three.

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Using Scientific Notation in Multiplication and Division Lesson Two and Lesson Three

WARM UP

EXAMPLE ONE GIVEN: (2.93 X 10 -2 ) (8.3 X 10 -5 ) MULTIPLY DECIMALS: 2.93 X 8.3 = 24.319 ADD EXPONENTS: 10 -2 X 10 -5 =10 -2+(-5) =10 -7 ANSWER: 24.319 X 10 -7 REWRITE IN SCIENTIFIC NOTATION FINAL ANSWER: 2.43 X 10 -6

EXAMPLE TWO GIVEN: 3.42 X 10 5 4.67 X 10 9 MULTIPLY DECIMALS: 3.42 X 4.67 = 15.97 ADD EXPONENTS: 10 5 X 10 9 =10 5+9 =10 14 PRELIMINARY ANSWER: 15.97 X 10 14 NOW, REWRITE IN SCIENTIFIC NOTATION IF NEEDED. FINAL ANSWER: 1.597 X 10 15

Let’s try three together…… (2 x 10 3 ) (3 x 10 5 ) (3.2 x 10 -5 ) x (1.5 x 10 -3 ) ( (9.2 x 10 5 ) x (2.3 x 10 7 )

CLASSWORK Work with your partner to complete the scientific notation worksheet using multiplication.

HOMEWORK Complete the scientific notation worksheet using multiplication. Show all your work.

WARM UP

EXAMPLE THREE GIVEN: 3.45 X 10 2 1.23 X 10 -5 DIVIDE DECIMALS: 3.45 ÷ 1.23= 2.81 SUBTRACT EXPONENTS: 2- (-5) = 7 REWRITE IN SCIENTIFIC NOTATION IF NEEDED ANSWER: 2.81 X 10 7

EXAMPLE FOUR

Let’s try three together….. (8 10 6 ) ÷ (2 10 3 )(5.76 x 10 2 ) ÷ (4.55 x 10 -4 ) (8.2 x 10 -6 ) / (9.4 x 10 -3 )

CLASSWORK With your partner, work through the division problems. Show all your work.

HOMEWORK Complete the scientific notation worksheet using division. Show all your work.

Need help? Watch the following videos. www.youtube.com/watch?v=ciFOlirz4Js Scientific Notation: multiplication/division Scientific Notation: https://www.youtube.com/watch?v=GD5LbqSqKys

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