1. Significant Figures All non-zero numbers count(123)
Leading zeros never count(0.001)
Captured zeros always count(1003)
Trailing zeros count only if a decimal is present(100 or 100.)

2. Significant Figures
Atlantic-Pacific Rule
0.300
203.00
100

3. Rules for Calculations
Significant Figures
Rules for Calculations
Exact Numbers
Addition/Subtraction
Multiplication/Division

4. Exact Numbers
Exact numbers never figure in to significant digits in calculations. They have an infinite number of significant figures.
Examples of exact numbers are……….

5. Exact Numbers Conversion factors or mathematical definitions.
1kg=1000g
1in=2.54cm
1cm=.01m

6. Exact Numbers Counting Numbers 3 students 45 cars 675 diplomas
25 points that Texas scored.

7. Exact Numbers
Formula numbers
Numbers associated with formulas
4/3 pr2

8. Multiplication & Division
Your answer must have the same amount of significant figures as the number in your problem with the least number of significant figures.
2.34 x = ( ) so 6.05 (3 s.f.)
2.34 has 3 s.f. and has 4 s.f.
Answer can have only 3 s.f.

9. Addition & Subtraction
Your answer must have the same amount of decimal as the number in your problem with the least number of decimal places. =
d.p.
d.p.
d.p
So our answer can only have 1 decimal place,
Therefore must be changed to 17.4