TechMathII - 1.7 - Scientific Notation Day2
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The document provides instructions for performing mathematical operations, specifically multiplication and division, on numbers written in scientific notation. It explains that when multiplying numbers in scientific notation, you multiply the numerical coefficients and add the exponents. For division, you divide the coefficients and subtract the exponents. Several examples of multiplying and dividing numbers in scientific notation are worked out step-by-step to demonstrate the process.
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TechMathII - 1.7 - Scientific Notation Day2
- 1. Bell Ringer Write each in scientific notation. 1. 112,509 3. .000001205 2. .00000016 4. 1,905,200 5. .0691
- 2. Multiplying Numbers in Scientific Notation Multiplying Powers of Ten - To multiply powers of ten, add the exponents. 1) 10 2 * 10 8 2) 10 6 * 10 3) 10 -3 * 10 5 4) 10 -5 * 10 -9
- 3. Multiplying Numbers in Scientific Notation 1) (2.7 X 10 2 )* (3.6 X 10 8 ) 2) (1.5 X 10 12 )* (5.7 X 10 -8 ) 3) (6.1 X 10 -4 )* (1.6 X 10 -11 ) 4) (2.8 X 10 2 )* (8.1 X 10 -2 ) Step 1: Multiply numbers in front. Step 2: Add exponents – leave as base 10.
- 4. You try! 1) (8.5 X 10 11 ) * (4.1 X 10 -4 ) 2) (3.7 X 10 2 ) * (2.9 X 10 -11 ) 3) (1.1 X 10 -4 ) * (2.8 X 10 4 ) 4) (5.19 X 10 20 ) * (6.82 X 10 -32 )
- 5. Dividing Numbers in Scientific Notation 1) (6.8 X 10 5 ) / (1.8 X 10 2 ) 2) (5.5 X 10 19 ) / (3.7 X 10 11 ) 3) (3.6 X 10 -7 ) / (4.9 X 10 -21 ) 4) (1.1 X 10 10 ) / (2.3 X 10 -7 ) Step 1: Divide numbers in front. Step 2: Subtract exponents – leave as base 10.
- 6. You try 2! 1) (4.12 X 10 11 ) / (7.2 X 10 4 ) 2) (7.87 X 10 2 ) / (1.5 X 10 -11 ) 3) (9.42 X 10 -4 ) / (3.12 X 10 4 ) 4) (1.11 X 10 20 ) / (4.2 X 10 -32 )