Hello! I completed the study guide that you have. I made it in a way that the concepts are explained already.If there are problems that you want me to solve - especially for the latter part, please send me some problems that I can solve for you to study later on :)
Final Exam Study Guide
Multiple Choice (should take 30s or less to answer)
Significant figures (ex. Round to 5 significant figures)
Rules of significant figures:
There are three rules on determining how many significant figures are in a number:
1. Non-zero digits are always significant.
2. Any zeros between two significant digits are significant.
3. A final zero or trailing zeros in the decimal portion ONLY are significant.
Significant figures calculations (adding/subtracting/multiplying/dividing)
For addition and subtraction, look at the decimal portion (i.e., to the right of the decimal point) of the
numbers ONLY. Here is what to do
1) Count the number of significant figures in the decimal portion of each number in the problem. (The
digits to the left of the decimal place are not used to determine the number of decimal places in the final
2) Add or subtract in the normal fashion.
3) Round the answer to the LEAST number of places in the decimal portion of any number in the
The following rule applies for multiplication and division
The LEAST number of significant figures in any number of the problem determines the number of
significant figures in the answer.
This means you MUST know how to recognize significant figures in order to use this rule.
As an example, let us take 5.14 × 105 = 514000.0
Scientific notation consists of a coefficient (here 5.14) multiplied by 10 raised to an exponent (here 5). To
convert to a real number, start with the base and multiply by 5 tens like this: 5.14 × 10 × 10 × 10 × 10 ×
10 = 514000.0. Multiplying by tens is easy: one simply moves the decimal point in the base (5.14) 5
places to the right, adding extra zeroes as needed.
Converting between metric-to-metric (Ex. Grams to nanograms, etc.)
Density (know definition and be able compare to what would be more or less dense)
The density, or more ...