Friday sept 7th
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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

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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


Friday sept 7th

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


Friday sept 7th

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


Friday sept 7th

756.05

23.02

733.03

9.002

2.32

45.659

56.981

+

733.03

56.98


Friday sept 7th

45

32.5

12.5

13


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