Final Jeopardy Question

Number of Sig Figs

Rounding

500

Mixed MathMultiply

andDivide

100

200

300

400

500 500 500 500

400 400 400 400

300 300 300300

200 200 200 200

100 100 100100

AddAnd

Subtract

Sig FigQuestions

100

200

300

400

500

0.004520

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0.004520= 4

390.0

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390.0 = 4

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54001

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54001 = 5

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2500

2500 =2

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12

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12 = 2

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1 sig fig4.50123

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5

5 Sig Figs

0.00245351

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0.0024535

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4 Sig Figs

607.68

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607.7

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2 Sig figs

126

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130

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What is the process you follow to round to a certain amount of sig figs?

1) Count to the digit you are going to round2) Look to the number to the right3) If the number to the right is below 5 you leave the digit

the same4) If the number to the right is higher than you round the digit up3) If the number to the right is 5…

And digit is even then keep it the sameAnd digit is odd then round it up to the next even

number4) If there are non-zero numbers after the 5 then round the

digit up5) Use zeroes as space fillers if they are needed.

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1200 cm + 34.5 cm – 12.877 cm

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1221.623 cm 1200 cm

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23 g/mL + 1.65 g/mL + 0.015 g/mL

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24.665 g/mL 25 g/mL

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40 L - 0.085 L

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39.915 L 40 L

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3.05 g + 6.1 g

9.22 g 9.2 g

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Explain the rule that is followed to round at the end of

a calculation

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1) Look to the numbers in the calculation2) Find the least accurate number3) Round answer to have same last

decimal place of the least accurate number.

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35.01 cm x 0.0324 cm x 14 cm x 10 cm

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158.80536 cm4 200 cm4

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_1325.3 g_ 1100. mL

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1.20481818 1.205 g/mL

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1.14334109 m 1.14 m

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12 g x 255 g

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3060 g2 3100 g2

Explain the rule to follow with sig figs when multiplying

and dividing.

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1) Count number of sig figs in each number2) Make answer have same number of sig figs as the number with the least amount

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(23 kg + 345 kg) (0.0342 m + 12.3 m) (7.05 L – 2.0 L) (120 s - 57 s)

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14.4 14 kg * m L * s

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* (2.0 kg – 1.05 kg)

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22.8 23 kg2 * m2

s2

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11.267605 10 cm * s

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21.0463 21.05 nm/s

Explain the rules we follow to use sig figs in mixed math

problems

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1) Follow PEMDAS to solve-Use rules for add/sub and multiply/divide

when they applyP – ParenthesisE - Exponents and RootsM – MultiplicationD - Division A - AddingS – Subtracting

2) Make answer have the same amount of sig figs as the number with the least amount

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Explain why sig figs are used when making

measurements and not counting.

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Sig figs are only needed when there is an uncertain digits like

when you are measuring. You are trying to make sure that your measurements are as accurate as possible. When you are counting there is no uncertainty.

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Why is it important to average multiple trials during labs while using sig figs?

You are trying to minimize anyerror that occurred while makingmeasurements in the lab.

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Why do we round and use sig figs during

measurements?

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To account for any error that occurs and make sure our measurements

are as accurate as possible.

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How is rounding in math different than rounding in

science?

Math – adding a point zero to a number doesn’t matter

-accuracy is less important in a number-If a 5 is next to the number you are looking

at the number rounds up-If a 4 or lower is next to the number you are

looking at the number stays the sameScience – adding more decimal places makes the number more accurate

-all about making accurate measurements and accounting for error

-zeroes count under certain rules -separate rules to round with 5’s

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How are the rules for adding/subtracting

different than the rules for multiplication/division?

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Adding/Subtracting involves rounding the answer to match the same decimal place as the least accurate number in a problem.

Dividing/Subtracting involves rounding the answer to match the number with the least amount of sig figs.

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Explain how other techniques youused in the lab account for error?

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-Percent error to see how accurate your

data is and how much it was effected by error

-Calculation of range and +/- amount to explain how much your data could be off the actual value.