CHM
Significant Figures

# The estimation is sometimes referred to as the

• Notes
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The estimation is sometimes referred to as the DOUBTFUL DIGIT

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The LAST digit in any measurement is the estimation or doubtful digit
What would be a proper measurement for the paper clip?

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Known digit : clip ends between the 2 and 3 graduation lines. So first digit is 2 First estimation: the clip is below the half value It looks as if .3 or .4 would be good estimations. Measurement : 2.3 cm or 2.4 cm
Record the length of the clip on this ruler, notice the new graduation lines What known digits can you read from the scale? What is the first estimation? Record to proper sig. figs.

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What known digits can you read from the scale? Between 2.3 and 2.4 marks so 2.3 What is the first estimation? Space is smaller so .00 or .05 is best choice. Record to proper sig. figs. 2.35 cm if end is exactly matching graduation line you would record 2.30 cm
Record the length of the bar inbetween the two rulers. First, record the length using ruler A Then, record the length using ruler B

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length using ruler A length is between the 4 and 5 lines 4 . The estimation is beyond the half (.5) so .7 or .8 would be good Length: 4.7 cm or 4.8 cm Length from ruler B Known digits : 4.8 since between 4.8 and 4.9 Do you feel exactly matched with 4.8? If so, 4.80 cm If you feel NOT exactly matched with 4.8 then, 4.85 cm
Zero’s and the decimal point are important in determining the number of significant digits in a measurement

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When multiplying/ dividing always record the final answer to the LEAST digits as the measurement with the smallest number of sig. figs. MULTIPLICATION DIVISION
What is the correct volume?

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1. Record the length of the block 2. Record the volume of the liquid in each cylinder
ANSWERS Block: 1.035 cm A: 4.7 mL or 4.8 mL B: 4.65 mL

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A method to control the effects of the estimation is the take an average ( mean ) of a number of trials
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• Fall '11
• HECTORRODRIGUEZ
• Decimal, ruler, CHM 1045 Ch 1

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