1. Significant Figures Pacific Atlantic Decimal is Present
Decimal is Absent
Start on the correct side (is decimal present or absent?) move toward the US
First non-zero number and those after all are significant
3.0800
7.09 x 10-5
91,600
x 109
7. 250
8. 750, 000, 000

3. Sig Figs Multiplying and Dividing
Answer must have same number of significant figures as the measurement with the fewest significant figures
3.20 * 3.65 * 2.05 = = 23.9
24 * 3.26 = = 78
120 * 0.10 = = 12
4.84 ÷ 2.4 = = 2.0
168 ÷ 58 = = 2.9

5. Sig Figs Adding and Subtracting
Answer must have same # of digits to the right of decimal as the value w/ the fewest digits to the right of decimal
(4.32*103) – (1.6*103) = 2.72*103 = 2.7 * 103
28.0
23.538
= 77.2

7. Scientific Notation
Convenient way of writing very small or large numbers
Consists of two parts
Number & ten raised to an exponent
Exponent is negative, number will be smaller than 1
Exponent is positive, number will be bigger than 1
1.62 x
136,392,412,792
1.36 x 1011

8. 47,800
0.0035
573
9256

9. 2.05 x 10-3
4.5 x10-5
1.002 x 108
1.002 x 10-4
x 103
x 102
1.02 x 101
2.5 x107

10. Scientific Notation Multiplying Dividing Multiply the first factors
Add the exponents
(2*103) * (3*103) = 6*106
(4*106) * (2*10-4) = 8*102
Dividing
Divide the first factors
Subtract the exponents
(6*104) ÷ (3*102) = 2*102
(9*103) ÷ (3*10-4) = 3*107
(3- (-4)) = 3+4

11. 6.25 x10-4 / 4.1 x101
4.18 x10-2 / 2.4 x10-2
3.24 x10-4 / 4.8 x10-2
4.1 x103 x 5.2 x 10-4
5.24 x 106 x 6.76 x 102
2.3 x 103 x 9.8 x 10-4

12. Scientific Notation Adding and Subtracting
Exponents MUST BE THE SAME before doing the math!
Add the numbers and rewrite x10exponent
(2.7*107) + (1.56*105)
(270*105) +(1.56*105) = *105
= 2.7 * 107
(8.3*108) – (4.1*106)
(830*106) – (4.1*106) = *106
= 8.3 *108

13.
4.1 x105 – 2.8 x 102
3.1 x x103

14. WebAssign rounding sig figs Round to four sig figs
84791 kg g cm m

15. Graphs
Visual display of data

16. Setting up the Graph
Adjust your scale to ensure the graph occupies the most space
Your values need to increase at a steady rate (for example count by 2)

17. Setting up the graph… Y axis X axis Always dependent variable
Always on vertical axis
Y axis
X axis
Always on horizontal axis
Always independent variable

18. Which is dependent variable?
Amount of fertilizer
Growth rate of plants
Number of years
Increase in population
Inches of rain that fell
Month rainfall occurred
Amount due on cell phone bill
Minutes used

19. Interpolation
Finding an unknown point between 2 measured points B C A

20. Extrapolation
Finding an unknown point that is outside of 2 measured points B C A

21. Best fit line line that averages the data points
DOES NOT MEAN CONNECT THE POINTS