Presentation on theme: "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."— Presentation transcript:
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
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!!!
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
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
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
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
Example ( 3.0 X 10 8 m/s) 1.49 x 10 11 m = 2.0x 10 -3 s