Why Scientific Notation? A short-hand way of writing numbers without writing all of the zeros. Scientific Notation Video

How many protons are in the Sun if it’s made up entirely of protons? Mass of the sun = 2 x 1030 kg Mass of a proton = 1.673 x 10-27 kg Video Answer

Using a Calculator (not a phone) On a scientific calculator, scientific notation is done with the button. 1.5 x 108 is typed 1.5 8 “EE” or “10x” are also used

Scientific Notation to Standard Form Multiply by the power of ten 3.4 x 105 in scientific notation 3.4 x 100 000 (or 3.4 [exp] 5) 340,000 in standard form

A number is expressed in scientific notation when it is in the form a x 10n where a is between 1 and 10 and n is an integer

The Distance From the Sun to the Earth 150,000,000 km Write in scientific notation!

Step 1 150,000,000 = 1.50000000 Move decimal left Leave only one number in front of decimal 150,000,000 = 1.50000000

Step 2 Write number without zeros 150,000,000 = 1.5

Step 3 Count how many places you moved decimal Make that your power of ten 150,000,000 km = 1.5 x 10 km 8

The power of ten is 8 because the decimal moved 8 places. 8 150,000,000 km= 1.5 x 10 km 8

Practice Problem -----> -----> -----> -----> Write in scientific notation. Decide the power of ten. 98,500,000 = 9.85 x 10? 64,100,000,000 = 6.41 x 10? 279,000,000 = 2.79 x 10? 4,200,000 = 4.2 x 10? 9.85 x 107 -----> 6.41 x 1010 -----> 2.79 x 108 -----> -----> 4.2 x 106

Express 0.000 000 0902 in scientific notation. Where would the decimal go to make the number be between 1 and 10? 9.02 The decimal was moved how many places? 8 When the original number is less than 1, the exponent is negative. 9.02 x 10-8

More Practice Problems Convert to Scientific Notation 0.0734 = ______ 0.870 = ______ 0.009 = _______ 0.00109 = _______ Answers 7.34 x 10-2 2) 8.70 x 10-1 3) 9 x 10-3 4) 1.09 x 10-3

Express 1.8 x 10-4 in standard notation. 0.00 018 Express 4.58 x 106 in standard notation. 4 580 000

More Practice Problems Convert to Scientific Notation 734 000 000 = ______ 870 000 000 000 = ______ 90 000 000 000 = _______ Answers 3) 9 x 1010 7.34 x 108 2) 8.7 x 1011

More Practice Problems Convert to Scientific Notation with 3 significant digits 9 026 100 000 = ______ 0.007801 = ______ 5 996 110 000 = _______ Answers 3) 6.00 x 109 9.03 x 109 2) 7.80 x 10-3

Converting Units Use the given conversions and set up an equation Convert 1500 m to km We know 1km = 1000m, so set up the equation: 1km = __?_km__  0.001x1500 = 1.5 km 1000m 1500m

Converting Lightyears 1 light year = 9.5 x 1012 km Use the following equation to convert ly to km and km to ly 1ly = ly__ 9.5 x 1012 km km or 9.5 x 1012 km = ____km __ 1ly ly