Significant Figures Flashcards
Exponential notation
times 10^ (to some power)
Scientific notation
a # between 1 and 9 times 10^ ( to some power)
What are the three types of numbers?
exact numbers, given numbers, calculated numbers
How many sig. figs. are in an exact number?
infinite
What are the two types of exact numbers?
numbers that come from counting a small number of whole objects and numbers that are definitions
What are given numbers?
numbers that are given to you in a problem
What are the five rules for given numbers?
in given numbers all non-zero digits are significant, zeros sandwiched between non-zero digits are significant, zeros to the right of both a non-zero digit and a decimal point are significant, zeros to the left of the first non-zero digit are not significant, and zeros to the right of a non-zero digit but not sandwiched and not to the right of a decimal point are ambiguous
Sig fig rule for multiplication and division:
you keep in the final answer the same number of sig figs as were in the starting number with the least number of significant figures
Sig fig rule for addition and subtraction:
we keep in the final answer onky to the decimal place that was least well known in the starting information
Sig fig for combined problems:
you must do the sig figs in the same order that you do the math for each step of the problem
What are exact numbers?
they come from definitions and counting a small number of whole objects, they have infinite amount of sig figs