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Published byDarlene Pierce Modified over 5 years ago

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**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

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**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

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

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**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, ??

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How Many Sig Figs? TOC

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How many sig figs in 1250 ? W 3

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How many sig figs in 300 ? W 1

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How many sig figs in 300. ? W 3

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How many sig figs in 3.0 x 102 ? W 2

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How many sig figs in 2.10 ? W 3

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How many sig figs in ? W 7

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How many sig figs in .0232 ? W 3

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How many sig figs in .00150 ? W 3

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How many sig figs in 8.900 x 105 ? W 4

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**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

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Whiteboards x and / answer rounding TOC

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**Express the answer with the correct number of sig figs:**

= 33,225 -> 33,000 W 33,225 > 33,000

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**Express the answer with the correct number of sig figs:**

/ 323 = ? = -> .316 W >.316

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**Express the answer with the correct number of sig figs:**

8.015 / 570 = ? = -> .014 W > .014

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**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

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Whiteboards + and - answer rounding TOC

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**Express the answer with the correct number of sig figs:**

= ? = > 16.2 W = 16.2

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**Express the answer with the correct number of sig figs:**

= ? = 110 -> 110. W 110 > 110.

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**Express the answer with the correct number of sig figs:**

= ? > 25 W 24.52 > 25

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**Express the answer with the correct number of sig figs:**

= ? = 116 - > 100 Quit your whining - use 116 W 100

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