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**Uncertainty in Measurement**

Precision: how close together the measurements are to one another Accuracy: How close to the true value

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**Significant Figures What’s Significant? **

-Sig. Figs tell the reader how precise the measurements were taken What’s Significant? All non-zero digits (1,2,3,etc.) 2. All Zeros appearing in between non-zero digits (101,102, etc.) 3. Zeros that appear in front of non-zero digits are NOT significant Example: 7x 10-6 (only one sig fig)

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Sig fig rules 4. Zeros at the end of a number and RIGHT of the decimal place ARE significant Example: (3 sig figs) 5. Zeros to the right of a number are not significant, Unless there is a decimal point Ex. 5200 2 sig figs however: 5200. Now has 4 sig figs

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**How many significant figures in each**

314________ ________ ______ ________ 500.0_______ ______ _______ x 105______

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**1. 42 ______________ 2. 4003_____________ **

More Examples Indicate the number of significant figures ______________ _____________ ____________ _____________ ______________ _____________ ___________ ____________ _____________ _____________ _________ ______________ __________ __________ ____________ _________ x 104__________ x 10-6_________

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**Significant Figures in Calculations**

Multiplication/Division ------The answer can have no more significant figures than there and in the measurement with the smallest number of Sig. Figs. Ex x 3.0 = 51.6 (3) (2) Therefore have to round to 2 sig figs Solve and answer with the correct number of sig figs x 0.3__________ / 10____________ 3. 162/ 10.__________ / 10.0___________ x 2.00_________ x 102/189__________

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**Addition / Subtraction**

Answer can have no more decimal places than there are in the smallest measurements. (# To the right of the decimal) Ex In addition / subtraction we can gain or lose sig. Figs. = 100 (2) (2) (1)

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