Rule for Using Sig Figs in Math: The result of your calculations can never be more precise than your LEAST precise number!

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Presentation transcript:

Rule for Using Sig Figs in Math: The result of your calculations can never be more precise than your LEAST precise number!

Example  You may know very precisely that the volume of your bucket is ml, but if you have a very uncertain number of drops/ml (24 drops/ml)… 24 drops/ml x ml = 24 drops/ml x ml = drops? drops?-or drops? drops?

Multiplication/Division  Round to the same number of places as the number with the least sig figs.  12 x = (calculator) = 2800  /.120 = (calc) = =  = (calc) = (calc) = 70 = 70

Addition and Subtraction  Round to the last sig fig in the most uncertain number = ? (calc) = ? (calc)

 = ? (calc) ______ -12______

Try these on your own…

3.414 s s s s

= s

1884 kg kg kg kg = 1896 kg

m – m = m

2.326 hrs – hrs = hrs

10.19 m x m = 0.13 m 2

cm x cm x cm = 58.0 cm

80.23 m ÷ 2.4 s = 33 m/s

4.301 kg ÷ 1.9 cm 3 = 2.3 kg/cm 3

What if Multiplication/Division and Addition/Subtraction are combined? Do it in steps, according to the order of operations…

(2.39 m – 0.2 m) s = 2.2 m s s = 0.18 m/s

2.00 m – 0.500( m/s)(3 s) = 2.00 m – 0.500(3.0 m/s)(3s) = 2.00 m – 0.500(3.0 m/s)(3s) = 2.00 m – 5 m = 2.00 m – 5 m = -3 m = -3 m

0.37 m – 1.22 m – (4 m/s)( s) x (1.0021s) 2 = 0.37m – 1.22m – 10m x (1.0021s) x (1.0021s) 2 = _____- 10 m______ x (1.0021s) x (1.0021s) 2 = - 20 m/s 2