Significant figs rules examples etc...

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

Significant figures (addition and subtraction)

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