Chapter 3 Flashcards
How to write numbers in scientific notation
If the number is greater than 10, the exponent is positive and equals the number of decimal places the original decimal point has been moved to the left.
If the number is less than 1, the exponent is negative and equals the number of places the decimal point has been moved to the right.
How to multiply and divide numbers in scientific notation
Multiply the coefficients and add the exponents
How to add and subtract numbers in scientific notation
Move the decimal point so that the exponents are the same, and then add or subtract the coefficients
Accuracy
The closeness of a measurement to the true value of what is being measured
Precision
The closeness or reproducibility of a set of measurements taken under the same conditions
Accepted value
A quantity used by general agreement of the scientific community
Experimental value
Quantitative value measured during an experiment
Error
Experimental value - accepted value
Percent error
Absolute value of error, divided by accepted value, times 100%
Significant figures
All the digits that can be known precisely in a measurement, plus a last estimated digit
6 rules of sig figs (see textbook p. 142 for more help)
- Every nonzero digit is significant
- Zeros appearing between nonzero digits are significant
- Leftmost zeros appearing in front of nonzero digits aren’t significant
- Zeros at the end of a number and to the right of a decimal point are significant
- Zeros at the rightmost end of a measurement that lie to the left of an understood decimal point aren’t significant
- Measurements that are counted (e.g. 20 students) or are exactly defined quantities (2 meters) have an infinite number of sig figs
Adding and subtracting w/ sig figs
The answer should be rounded to the same number of decimal places as the measurement with the least number of decimal places.
Multiplying and dividing w/ sig figs
Round the answer to the same number of sig figs as the measurement with the least number of sig figs
Prefix: mega- (M)
1 million times larger than (10^6)
Prefix: kilo- (k)
1000 times larger than (10^3)