1. Measurement and significant figures

2. Convert from Scientific Notation to Real Number: 5.14 x 105 =
Scientific notation consists of a coefficient (here 5.14) multiplied by 10 raised to an exponent (here 5).
If the exponent is a positive number, you move that many spaces to the right.
If the exponent is a negative number, you move that many spaces to the left.

3. Convert from Real Number to Scientific Notation: 0.000 345 =
Here we wish to write the number as a coefficient times 10 raised to an exponent.
Count how many places you’d have to move the decimal point from where it is to where it would have one number to the left of it. Put that number as the exponent.

4. Examples (TPS): Express in Scientific Notation

5. Examples (TPS): Express in Real Numbers

6. Calculating with Scientific Notation
Any calculation should be checked using your logic, so don't just assume an answer is correct just because you plugged numbers into your calculator. 

7. Significant Digits A way to know how much to round a number.
In the real world it is determined by the instrument you’re using to measure
In class it’ll be determined by the numbers you are given or the instruments you’re using to perform a lab.
P.S. I used to be terrible at this in HS…

8. Sig figs Only measured things have sig figs.
A dozen of something or a gallon of milk or 15 people etc.. Are counted things and do NOT have sig figs.
A person being 57.0 cm tall IS a measured thing and does have sig figs.

9. What are the rules? 24 - 2 sigfigs 0.0085 – 317 – 3 sigfigs 1.0085 ––
603 – 3 sigfigs
0.102 –
400 – –
400. –
560 -
560. -
0.008 – 1

10. Counting Sig digs Non-zero numbers are always significant
Zeros between two significant digits are significant (203) 3 sig-figs
Leading zeros in decimals are never significant (0.0032) 2 sig-figs
Trailing zeros after the decimal are significant (2.3040) 5 sig-figs
If in scientific notation, all the digits in front will be significant (4.50 x 109)

11. Significant digits

12. Practice (TPS) ID the number of sig figs 3.0800 7.09x10-5 0.003005 250
0.0101
91,600
780,000,000
3.200x109

13. Calculating with sig digs
Multiplying or dividing: Round the final answer to the least SIG FIGS of the original numbers
When doing a long calculation, ONLY round at the end.

14. Multiplication/Division
22.374cm x 3.10cm x cm =

15. Solve for how many sig figs (TPS)
4.110 x (3.09/3) =
1.768 x =
Pi x =
6.02 x =
2.3 x 1.56 =
1500 x 3 =
12.0 x 3.47 =
x 0.03 =
1,000.0 x 1,000 =
2 x 100 =

16. Summarize what you learned
Why are sig figs important?
How do you determine the number of sig figs?
Summarize on your own.