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Friday Sept 7th. Grab a calculator Warm up for today: Finish problems 6-10 on the back of the dimensional analysis paper from yesterday. Significant Figure Review Goal: Students will know how to round all mathematical answers to be as specific as the given amount.

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friday sept 7th
Friday Sept 7th
  • Grab a calculator
  • Warm up for today:
    • Finish problems 6-10 on the back of the dimensional analysis paper from yesterday
slide2

Significant Figure ReviewGoal: Students will know how to round all mathematical answers to be as specific as the given amount

rules for significant figures
Rules for Significant Figures
  • Nonzero numbers are ALWAYS significant.

1287 g

78,483 cm

58 mL

638 mol

= 4 Sig Figs

= 5 Sig Figs

= 2 Sig Figs

= 3 Sig Figs

rules for significant figures1
Rules for Significant Figures
  • Zeros in-between nonzero numbers are ALL significant.

101 mol

20,375 cd

1001 J

908 s

= 3 Sig Figs

= 5 Sig Figs

= 4 Sig Figs

= 3 Sig Figs

rules for significant figures2
Rules for Significant Figures
  • Zeros after nonzero numbers (trailing zeros) WITH A DECIMAL PRESENT are significant

6.0 mg

678.10 Kg

80.0 m

12.00 mL

= 2 Sig Figs

= 5 Sig Figs

= 3 Sig Figs

= 4 Sig Figs

rules for significant figures3
Rules for Significant Figures
  • Zeros in front of nonzero digits (preceding zeros) are not significant. They are called place holders.

0.78 Kg

0.0309 cd

290 amp

300 s

= 2 Sig Figs

= 3 Sig Figs

= 2 Sig Figs

= 1 Sig Figs

rules for significant figures4
Rules for Significant Figures
  • Counting numbers and defined constants have an infinite number of significant figures.

1 dozen = 12

78 pencils

32 books

1 pair = 2

= Infinite Number of Sig Figs

= Infinite Number of Sig Figs

= Infinite Number of Sig Figs

= Infinite Number of Sig Figs

zeros that are significant
Zeros that are significant.

= 3 Sig Figs

202 cm

510002 L

144.0 kg

670.00 cd

= 6 Sig Figs

= 4 Sig Figs

= 5 Sig Figs

zeros that are not significant place holders
Zeros that are NOT significant, PLACE HOLDERS.

= 1 Sig Figs

50 g

0.0072 m

0.0321 J

9000 L

= 2 Sig Figs

= 3 Sig Figs

= 1 Sig Figs

zeros that are significant called trailing and zeros that are not significant call place holder
Zeros that are significant (called Trailing) and zeros that are not significant (call Place Holder).

80020 s

0.00401 kg

0.03020 Amp

10230 L

= 4 Sig Figs

= 3 Sig Figs

= 4 Sig Figs

= 4 Sig Figs

making calculations with significant digits
Making Calculations with Significant Digits
  • Multiplying and Dividing

The final answer is rounded to have the same number of significant figures as the measurement with the least number of significant figures.

755 cm x 33 cm = 24915

92 m x 20 m = 1840

25000 cm2

2000 m2

slide12

0.45g

150

0.894 g / 2.0 g = 0.447 g

40.0 x 3.8 = 152

203 x 4589 = 931567

10259 / 789 = 13.00253485

96.0 / 75.0 = 1.25

101 x 0.020 = 2.02

932000

13.0

1.25

2.0

making calculations with significant digits1

120.60

89.001

6.3

215.901

+

Making Calculations with Significant Digits

Adding and Subtracting

The final answer is rounded so that it has the same number of digits past the decimal as the measurement with the least number of digits past the decimal

215.9

slide14

756.05

23.02

733.03

9.002

2.32

45.659

56.981

+

733.03

56.98

slide15

45

32.5

12.5

13

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