Why Scientific Notation A shorthand way of writing

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 “ 10 x” 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

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

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

Step 1 Move decimal left Leave only one number in front of decimal

Step 2 Write number without zeros

Step 3 Count how many places you moved decimal Make that your power of ten

The power of ten is 8 because the decimal moved 8 places.

Practice Problem Write in scientific notation. Decide the power of ten. 1) 98, 500, 000 = 9. 85 x 10? 3) 279, 000 = 2. 79 x 10? 9. 85 x 107 6. 41 x 1010 2. 79 x 108 4) 4, 200, 000 = 4. 2 x 10? 4. 2 x 106 2) 64, 100, 000 = 6. 41 x 10?

Express 0. 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 1) 0. 0734 = ______ 2) 0. 870 = ______ 3) 0. 009 = _______ 4) 0. 00109 = _______ 1) 7. 34 x 10 -2 3) 9 x 10 -3 2) 8. 70 x 10 -1 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 1) 734 000 = ______ 2) 870 000 000 = ______ 3) 90 000 000 = _______ 1) 7. 34 x 108 2) 8. 7 x 1011 3) 9 x 1010

More Practice Problems Convert to Scientific Notation with 3 significant digits 1) 9 026 100 000 = ______ 2) 0. 007801 = ______ 3) 5 996 110 000 = _______ 1) 9. 03 x 109 2) 7. 80 x 10 -3 3) 6. 00 x 109

Converting Units Use the given conversions and set up an equation Convert 1500 m to km We know 1 km = 1000 m, so set up the equation: 1 km = __? _km__ 0. 001 x 1500 = 1. 5 km 1000 m 1500 m

Converting Lightyears 1 light year = 9. 5 x 1012 km Use the following equation to convert ly to km and km to ly 1 ly = ly__ 9. 5 x 1012 km km or 9. 5 x 1012 km = ____km __ 1 ly ly