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8 Significant Figures

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 0.520 0.0025 500 120035 500. 2.0 x 105 3 do not count zeros at the beginning 2 1 do not count end zeros if no decimal 4 count all other zeros 6 3 2 do not expand

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Significant figures The number of meaningful digits in a measurement including the uncertain digit. “sig figs” 2.5002 5001 200 200. 2.0 x 102 2. x 102 5 3 4 6 4 1 3 2 1

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Significant figures Exact numbers that are counted or defined and not measured have zero uncertainty and infinite “sig figs”. “sig figs” 2.50 cm 3 girls 62.33 kJ 1 cm = 10 mm 12.3 oC 200 lb 1 cm3 = 1 mL $75.00 3 infinite 4 infinite 3 1 infinite infinite

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 1. 21.036 + 22.1

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used 1. 21.036 + 22.1??

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 1. 21.036 + 22.1?? = the largest decimal place is the first

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used 2. 25.654 - 22.1?? =

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used 2. 25.654 - 22.1?? = the largest decimal place is the first

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used 3.

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used 3. the largest decimal is the second

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used 4. x 107 + 2.3 x 104

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. ↓ largest decimal place x + 2.3 x

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. ↓ largest decimal place x + 2.3 x x

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 5. x 10-5 x

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 5. x x ↑ largest decimal place

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 5. x x 5.008 x largest decimal place

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. 6. x 10-4 x

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. ↓ largest decimal place x x

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**Adding and Subtraction with Significant Figures**

When adding or subtracting numbers round the answer to the largest decimal place found in the uncertain digits of any of the numbers used. ↓ largest decimal place x x x

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**7. Add the two numbers- another way to do it**

x x x x x Change the lower exponent to the higher and write it directly underneath. You are making the exponent larger so make the number smaller.

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**8. Subtract the two numbers- another way to do it**

x 1018 x 1015 x 1018 x 1018 x 1018 Change the lower exponent to the higher and write it directly underneath. You are making the exponent larger so make the number smaller.

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