Chapter 1 - Significant Figures and Scientific Notation Flashcards
Significant figures
Meaningful digits in a measured or calculated quantity
Scientific Notation Add/Subtract
Make sure the exponents are the same. If not, move the decimal so the exponents match. Then, add the first numbers together and keep the notation
(4.3110^4)+(3.910^3)=(4.3110^4)+(0.3910^4)=4.70*10^4
Scientific Notation Multiplication/Division
Multiply first numbers. Add exponents together. e.g. 10^4+2=10^6
Divide first numbers subtract exponents
10^7-5=10^2
10^2-(-3)=10^5
Significant Figures rules
Any # not zero is sig.
Zeros between nonzeros are sig
Zeros to left of first nonzero are not sig
If # greater than 1, all 0s to right are sig
Trailing zeros for #s that do not have decimal points may or may not be sig.
Significant figures add/sub
Answer cannot have more digits to right of decimal than wither of original #s
Significant figures multi/divide
of sig. figures in final product is determined by original # with smallest # of sig. figures