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Sig Figs Contents: Rules for how many How many examples

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Presentation on theme: "Sig Figs Contents: Rules for how many How many examples"— Presentation transcript:

1 Sig Figs Contents: Rules for how many How many examples
Rules for addition and subtraction Whiteboards for addition and subtraction Rule for multiplication and division Examples of multiplication and division

2 How many sig figs are there?
1. The leftmost nonzero digit is the most significant digit 2. If there is no decimal point, the rightmost nonzero digit is the least significant digit 3. If there is a decimal point, the rightmost digit is the least significant digit even if it is a zero. 4. All digits between the least and most are also significant. TOC

3 Examples 3010 20 20. 20.0 30.010 3.200 x 104 TOC 3, 6, 1, 2, 3, 5, 4

4 Examples 100 1.0 x 102 100. .012 .000150 37 people in a class
50,000 at a rally TOC 1, 2, 3, 2, 3, n/a, ??

5 How Many Sig Figs? TOC

6 How many sig figs in 1250 ? W 3

7 How many sig figs in 300 ? W 1

8 How many sig figs in 300. ? W 3

9 How many sig figs in 3.0 x 102 ? W 2

10 How many sig figs in 2.10 ? W 3

11 How many sig figs in ? W 7

12 How many sig figs in .0232 ? W 3

13 How many sig figs in .00150 ? W 3

14 How many sig figs in 8.900 x 105 ? W 4

15 Rule for multiplication and division
Round final answer to least number of sig figs of the operands: 123.50 x 21 round to 2 places: 2600 Never round until totally done. TOC

16 Whiteboards x and / answer rounding TOC

17 Express the answer with the correct number of sig figs:
= 33,225 -> 33,000 W 33,225 > 33,000

18 Express the answer with the correct number of sig figs:
/ 323 = ? = -> .316 W >.316

19 Express the answer with the correct number of sig figs:
8.015 / 570 = ? = -> .014 W > .014

20 Rule for addition and subtraction
Round final answer to least common place: +21.1 > as an expressed answer Again, never round until totally done. <IB apparently does not require this rule> TOC

21 Whiteboards + and - answer rounding TOC

22 Express the answer with the correct number of sig figs:
= ? = > 16.2 W = 16.2

23 Express the answer with the correct number of sig figs:
= ? = 110 -> 110. W 110 > 110.

24 Express the answer with the correct number of sig figs:
= ? > 25 W 24.52 > 25

25 Express the answer with the correct number of sig figs:
= ? = 116 - > 100 Quit your whining - use 116 W 100


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