Importance: to ensure the accuracy of our measurements To make sure we tell others only what we actually know based on our equipment and it’s limitations Significant figures: all the numbers actually measured plus one that is estimated
Non zeros are always significant: has 6 sig figs Zeros within a number are always significant. Both 4308 and contain four significant figures. Zeros that do nothing but set the decimal point are not significant. 470,000 has 2 significant figures. has 2 sig figs Trailing zeros that aren't needed to hold the decimal point are significant. 4.00 has 3 significant figures. has 2 significant figures
The number of decimal places in the answer is equal to the number of decimal places in the quantity with the smallest number of decimal places =
The LEAST number of significant figures in any number of the problem determines the number of significant figures in the answer. 2 x 10.0 = 20 66 / 2 = 33 = 30