Part 02 Scientific Notation pages 30 33 Scientific

Part 02 Scientific Notation pages 30 -33

Scientific notation is a way of writing numbers that are very large or very small. There is a very strict method for writing scientific notation. 59800000000000 kg What is the mass of? Earth

59800000000000. kg Rules for Scientific Notation 1. Take the decimal, move it left or right so that when you’re finished there is a single digit to the left of the decimal. 2. Count how many jumps are made. 3. Write the number with all significant figures (covered later) necessary and drop all zeros that are not significant. 4. Write x 10 with a power of 10 equal to the number of jumps made 5. The power is positive if the regular number is large (greater than 1) or negative if the regular number is small (less than 1) 6. Don’t forget the units! 5. 98 X 10 kg 24

0. 000000000000000911 kg There are 30 zeros after the decimal What is the mass of? An electron Write this number in scientific notation 9. 11 x 10 -31 kg Try the following 1. 2. 3. 4. 5. 4500000 in. 50000 yrds. 0. 0000064 mi. 0. 0004 m 5. 6 qts. Check your answers 4. 5 x 106 in. 5 x 108 yrds. 6. 4 x 10 -6 mi. 4 x 10 -4 m 5. 6 x 100 qts.

Sci. Notation to Reg. Notation: Positive exponent – move decimal to the right Negative exponent – move decimal to the left 2. 5 x 102 ft. 5 x 1011 K 5. 4 x 10 -4 L 7. 70 x 10 -1 s 5. 55 x 107 m 2 250 ft. 5000000 K 0. 00054 L 0. 770 s 55500000 m 2

Do not write this in your notes. Get out your calculator and try the following Depending on your calculator there is a button that must be used for scientific notation. The buttons have a “EE” or “EXP” on them To enter a number like 6. 02 x 1023 Press 6 then. Then 0 then 2 then EE then 23 Now try calculating 6. 02 x 1023 divided by 2. 55 x 107 2. 36 x 1016 Notice how your calculator gives scientific notation on the screen. Be careful when reading it. One more (3. 45 x 10 -6)3 = 4. 11 x 10 -17

Assignment • Handout given in class