When your doing an addition/subtraction problem in chemistry the significant figures has to do with LEAST accurate decimal place. How do you know which one is the least ACCURATE? Think of it this way: the more numbers you have following a decimal, the MORE accurate it is. And likewise, the fewer numbers following the decimal, the least it is accurate. Look at 2.00 + 3.1 + 4.175 See how the least accurate decimal place is tenths in 3.1? Therefore your final anwer ends in 9.3. With multiplication and division, you count the total sig figs in each value and then round the final answer to that number of sig figs. Example: 8.965x18.2= 163.163 (without sig figs) The number with the least amount of sig figs is 18.2 (3 sig figs). So you would round 163.163 to simply 163. Does that make sense?
Sig figs are unaffected by being converted from decimal form to a percentage (or vice versus). The reason being is that you will multiply your decimal answer which has a limited number of sig figs by the exact number 100, and by being exact it technically has infinite sig figs.
In addition and subtraction you take the most number of sig figs. 312.45 - 3.0 = 3.0945 X 10^2 5 sig figs 2 sig figs answer needs to have 5 sig figs In multiplication and division it is the least number. 312.45 X 3.0 = 9.4 X 10^2 5 sig figs 2 sig figs answer needs to have at MOST 2 sig figs in decimals if there is no number before the decimal, i.e.; 0.xxxx then leading zeros do NOT count as significant. Meaning 0.000010 is only 2 significant figures. The 1 and the zero after the 1.
Look at the numbers you are multiplying and dividing. Your answer should have the amount of sig figs that the smallest number has. Rules are as followed: .00236 Has three sig figs. The zeros are used for "spacing". (.00200 also has three sig figs.) .236 Has three sig figs. 100 Has one sig fig. 100. Has three sig figs due to the decimal point. 1.00 Has three sig figs. The rules are confusing, but with practice, you should be able to understand them without a problem. I'm sure I have also forgotten to add one or two.
there are 3 sig figs. 4, 0, and 5 are the sig figs
5 sig figs
Multiplication and DivisionRound the answer to the same number of significant figures (sig figs) as the measurement with the fewest sig figs in the problem.34.9cm x 4.7cm = 164.03cm2 = 160cm2 (rounded to two sig figs)271.0g/99.8cm3 = 2.71543g/cm3 = 2.715 (rounded to four sig figs)Addition and SubtractionRound the answer to the fewest decimal places as the measurement with the fewest decimal places.9.45kg + 8.329kg = 17.78kg (rounded to two decimal places)
Sig figs are unaffected by being converted from decimal form to a percentage (or vice versus). The reason being is that you will multiply your decimal answer which has a limited number of sig figs by the exact number 100, and by being exact it technically has infinite sig figs.
In addition and subtraction you take the most number of sig figs. 312.45 - 3.0 = 3.0945 X 10^2 5 sig figs 2 sig figs answer needs to have 5 sig figs In multiplication and division it is the least number. 312.45 X 3.0 = 9.4 X 10^2 5 sig figs 2 sig figs answer needs to have at MOST 2 sig figs in decimals if there is no number before the decimal, i.e.; 0.xxxx then leading zeros do NOT count as significant. Meaning 0.000010 is only 2 significant figures. The 1 and the zero after the 1.
Look at the numbers you are multiplying and dividing. Your answer should have the amount of sig figs that the smallest number has. Rules are as followed: .00236 Has three sig figs. The zeros are used for "spacing". (.00200 also has three sig figs.) .236 Has three sig figs. 100 Has one sig fig. 100. Has three sig figs due to the decimal point. 1.00 Has three sig figs. The rules are confusing, but with practice, you should be able to understand them without a problem. I'm sure I have also forgotten to add one or two.
two sig figs
there are 3 sig figs. 4, 0, and 5 are the sig figs
in addition/subtraction you use the most number of sig figs. So in this case you need 5 sig figs in the answer.
5 sig figs
There are four sig figs in 1.032
There are four sig figs in 2.905.
There are 4 sig figs in 20.13
There are four sig figs in 60.55.