1. Notes For Scientific Notation

2. There are some very large numbers in chemistry For Example: The number of atoms of hydrogen in a 1.01 g sample is 602,000,000,000,000,000,000,000 Can you read this number? It’s HUGE! How huge is it?

3. There are some very small numbers in chemistry For Example: The radius of an electron is 0.000 000 000 000 281 8 cm Can you read this number? It’s incredibly small!

4. takes very large numbers and very small numbers and writes them in a way that is easier to read and perform calculations. Scientific Notation expresses numbers as a multiple of two factors: (1) A number between 1 and 10, and (2) Ten raised to some power, or exponent

5. Scientific Notation expresses numbers as a multiple of two factors: (1) A number between 1 and 10, and (2)Ten raised to some power, or exponent 602,000,000,000,000,000,000,000 Hydrogen atoms Is expressed as 6.02 x 10 23 Hydrogen atoms It’s big but you can tell at a glance how big 10 23 tells you to move the decimal 23 places to the right to express the number without an exponent

6. Scientific Notation expresses numbers as a multiple of two factors: (1) A number between 1 and 10, and (2) Ten raised to some power, or exponent 0.000 000 000 000 281 8 cm Is expressed as 2.816 x 10 -13 cm It’s small but you can tell at a glance how small 10 -13 tells you to move the decimal 13 places to the left to express the number without an exponent

7.  You should be able to compare decimal numbers and numbers expressed in Scientific Notation  Compare: 3.00 X 10 8 m/s6.34 X 10 12 Wvs 300,000,000 m/s6,340,000,000,000 W Same Number

8. The speed of light is 29,979,250,000 cm/sec How would this be written in Scientific Notation? ANSWER: 2.997925 x 10 10 cm/sec

9. distance to moon is 225,000 miles = ________________ In Scientific Notation?

10. USE YOUR SCIENTIFIC CALCULATOR IN THE SCI MODE TO PERFORM THE FOLLOWING CALCULATIONS.

11.  (2.15 x 10 5 ) + (3.20 x 10 5 ) =  (5.07 x 10 4 ) - (1.88 x 10 6 ) =  (3.14 x 10 -2 ) + ( 6.23 x 10 -8 ) =  (6.11 x 10 12 ) - (2.12 x 10 10 ) =

12.  (2 x 10 2 ) (4 x 10 4 ) =  (2.5 x 10 -2 ) (2.0 x 10 8 ) =  (4.2 x 10 4 ) / (2.1 x 10 2 ) =  (9 x 10 5 ) / (3 x 10 -2 ) =