Measurements and Significant Figures

Dimensional Analysis

Dimensional Analysis

________ is a method that uses the idea that any number can be multiplied by one without changing its value.

Scientific notations

________ are used for very large numbers, or really small numbers.

Significant Figures

________: The "figures, "or digits that are important in measurements and calculations.

Exact numbers

________ are numbers that are….

Measured Numbers

Numbers/Amounts that are determined using a measuring tool

(Examples includes

height or weight)

Significant Figures

The "figures", or digits that are important in measurements and calculations

Example

The following image shows that its around 1.2 cm

To begin, there are two types of numbers as far as significant figures are concerned

zeroes, and nonzero digits (1-9)

Example

1,234 has four significant figures

Example

0.00001 has 1 significant figure (the 1)

Example

1.0091 has 5 significant figures (they all count)

Example

1,000 has 1 significant figure (the 1), while 1,000.0 has 5 significant figures (all of them)

Example

12 eggs in a dozen

Example

39923 = 3.9923 x 10^4

Example

0.0052 = 5.2 x 10^-3

Adding/Subtracting with Significant Figures

Round to number with fewest decimal places

Multiplying/Dividing with Significant Figures

Round to number with fewest significant numbers