2 Using Scientific Notation A. Scientists often work with very large or very small numbers.1. Speed of light= 300,000,000 meters per second2. Speed of snail = meters per second
3 Using Scientific Notation B. Scientific Notation1. A way of expressing a value as the value of a number between 1 and 10 and a power of 10.
4 Using Scientific Notation B. Scientific Notation2. Is a shortcut to writing all of the digits in a number.a. 300,000,000 = x 10 8the exponent 8 tells you that the decimal point isreally 8 places to the right of the 3.b = 8.6 x 10 -41) The negative exponent means the number is adecimal (small).2) The exponent of a 4 tells you how manydecimal places there are to the left of the8.6.
5 Using Scientific Notation B. Scientific Notation3. Makes very large or very small numbers easier to work with.
6 Using Scientific Notation C. Multiplying in Scientific Notation1. Multiply the numbers that appear before themultiplication sign.2. Add the exponents.3. Make sure answer is in notation form.D. Example of multiplying1. How far does light travel in 500 seconds?(Speed of light)(time) = distance (on board)
7 Using Scientific Notation D. Example of multiplying1. How far does light travel in 500seconds?(Speed of light)(time) = distance300,000,000m/s X 500s = ?(3.0 x 108 m/s) X (5.0 x 102 s) =15 x 1010 m1.5 x 1011 m
8 Using Scientific Notation **Remember number before the power of ten must be greater than1 and less than 10.**If you need to move the decimal to the Left; ADD an exponent, or to theRight; SUBTRACT an exponent(LARS)
9 Using Scientific Notation E. When Dividing in Scientific Notation1. Divide the numbers that appear before the exponents2. Subtract the exponents.F. Example of DividingHow long will it take for light from the sun to reach theEarth? (on board)Distance ÷ velocity = timeAnswer = 1.5 x 1011m ÷ 3.0 x 108m/s = .5 x 103s = 5.0 x 102s
10 SI Units of Measurement A. For a measurement to make sense, it requires both a number and a unit.1. Always use measurements in numbers and units so that their meaning is clear.2. Scientists use a set of measuring units called SI, or the International System of Units.3. By using one system of units, scientists can readily reproduce one another’s measurements.
11 SI Units of Measurement B. Base units and derived units1. Base Units- the 7 metric units on which themetric system is based.2. Derived Units- are the additional units thatcome from combinations of the base units.3. Derived units include volume (length xwidth x height) and density (mass/volume).
12 SI Units of Measurement C. Metric Prefixes1. Indicates how many times a unit should be multiplied ordivided by ten.2. 9ms = 9/1000 s = seconds3. 12 km = 12 x 1000 m = 12,000 m4. Are used in non-metric units as wella. gigabytes= 1,000,000,000 bytesb. megapixels = 1,000,000 pixels5. conversion factor a ratio of equivalent measurements thatis used to convert a quantity expressed in one unit to anotherunit.convert from 8848 m to km (on board)**notice that the meter units cancel