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Convert 33km to centimeters (cm) Show all steps and work!! (4x10 12 ) x (3x10 14 ) = ? 8 x 10 18 What is the difference between the measurement 14m and 14.00m 10 August 20151 Hint: Solve the top first

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Scientific Notation -Scientists often work with very large or very small numbers -For example light travels at 300,000,000 meters per second -On the other hand a snail on average travels about 0.00086 meter per second Scientific Notation is a way of expressing a number between 1 and 10 and a power of 10!!!

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Scientific Notation Example: 300,000,000 is written in scientific notation as 3.0 X 10 8 The exponent 8 tells you that the decimal point is really 8 places to the right of the # 3 For numbers less than one they will have a negative exponent Example: 0.00086 is written as 8.6 X 10 -4 The negative 4 exponent tells you how many places to the left 8.6

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Scientific Notation When multiplying numbers in scientific notation, you multiply the numbers that appear before the multiplication signs and then ADD the exponents Example: To calculate how far light travels in 500 seconds, you multiply the speed of light by the number of seconds

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Example ( 3.0 X 10 8 m/s) X (5.0 x 10 2 s) = 15 x 10 10 m = 1.5 x 10 11 m Scientific notation should always have a ones column value then a decimal

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Scientific Notation When dividing numbers written in scientific notation, you divide the numbers before the exponential terms and subtract the exponents Example: To calculate how long it takes for light from the sun to reach Earth, you would perform division

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Example ( 3.0 X 10 8 m/s) 1.49 x 10 11 m = 2.0x 10 -3 s

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