# Significant figs rules examples etc...

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Significant figures use
Measurements are reported in significant figures, Includes all digits that can be known accurately plus a last estimated digit.
Significant figures rules
Non-zero digits are always significant. Any zeros between two significant digits are significant. A final zero or trailing zeros in the DECIMAL portion are significant.
Ex. How many significant figures in 0.00204
3
Ex. How many significant figures in 12345.6
6
Ex. How many significant figures in 82,000
2
Kelvin to Celsius
C=K-273
Celsius to Kelvin
K=C+273
How to find density
Density=mass/volume
How to find mass
mass=volume*density
How to find volume
mass/density
When adding or subtraction significant figures the answer can have no more digits to the right of the decimal point than are contained in the measurement with the least number of digits to the right of the decimal point.
Ex. 0.0024 + 0.624
0.626
Ex. 612.315 + 214.83
827.15
Ex. 43.21 - 56.789
-13.58
Significant figures (multiplication and division)
The answer when multiplying or dividing must contain no more significant figures than the measurement with the least number of significant figures.
Ex. 314 x 72
23000
Ex. 70.02 ÷ 12.34
5.674
Ex. 18.7 ÷ 2.3
8.1
Scientific notation
A method in which scientists easily handle very large numbers and very small numbers.
Scientific Notation Rules
1. Exactly one non-zero digit is placed in front of the decimal point. 2. The exponent is equal to the number of times the decimal must be moved to achieve the first rule.
Ex. 5000m=
5*10^3m
Ex. 0.0006g=
6*10^-4g
Boiling point in Celsius
100 degrees Celsius
freezing point in Celsius
0 degrees Celsius
Boiling point of Kelvin
373 K
Freezing point of Kelvin
273 K