sig fig reviews This is a topic that many people are looking for. newyorkcityvoices.org is a channel providing useful information about learning, life, digital marketing and online courses …. it will help you have an overview and solid multi-faceted knowledge . Today, newyorkcityvoices.org would like to introduce to you Significant Figures – A Fast Review!. Following along are instructions in the video below:
“Video is going to be a quick review of significant figures. The first thing that that you need to be able to do is determine how many significant figures are a number so for example. Let s say if we have the number 846. How many significant figures are there every nonzero number is a significant figure.
So there s three significant figures in this number. Another example 3546 has four significant figures now let s say if we have a zero in between two nonzero numbers is that zero significant all zeros between two nonzero numbers will be significant. So 704 has three significant figures. Five thousand and six has four significant figures now what about zeros to the right of a nonzero number like five hundred how many significant figures are there in this number.
It all depends on if there s a decimal point or not if we do not have a decimal point the zeros to the right. Which are called trailing zeros are not significant so this would be only one significant figure in this case. The trailing zeros are significant so this would be three significant figures likewise. If we had five hundred point zero this would be four significant figures now what about the zeros to the left of a number like this point zero.
Seven five are these zeros. The leading zeros are they significant leading zeros are never significant so there s only two significant figures. The seven and a five so let s say if we had point zero zero eight three six. Only these three numbers will be significant.
So to review. Let s try this example point zero zero five zero eight. 30. How many significant figures are in this number.
So looking at the lead in zeroes. Remember the leading zeros are not significant the zeros that are in between two nonzero numbers. Those are significant and the trailing zeros are only significant if there is a decimal point. Which we do have so therefore these five digits are significant.
So we re gonna have five significant figures. So what i m gonna do at this point is give you a quiz. And i want you to determine how many civic and figures are in the following numbers. So the first one is going to be forty to fifty.
And the second one is 7080 and then thirty thousand fifty with a decimal point. And then point zero zero seven zero three next. We have point zero eight zero six zero and then five thousand thirty point zero and finally seven fifty point zero six four zero eight zero go ahead and determine the number of significant figures in each of those numbers by the way for those of you who want harder examples or maybe just more examples. I have another video on youtube that is about an hour and a half long but it really goes deep into this topic.
So for those of you who want to master the concept of sig figs you can check out that video..
I m gonna post the link in the description section of this video so feel free to take a look at that when you get a chance also if you re going to subscribe to this channel make sure to click the notification bell if you want to receive any updates of any new videos that i m gonna post in the future. So let s go ahead and begin so 4250 how many significant figures does it have so the zero at the right do we count it well. It s a trailing zero. And there is no decimal point.
So we re not going to count it so therefore we can only count these three nonzero numbers. So we have three significant figures in the first example now what about the second example. How many significant figures are there once again. We don t have a decimal point.
So we cannot count with that zero. But what about the zeros in between nonzero numbers. So those zeros. We can count so therefore this answer.
I mean this problem also have a three significant figures now for the next. One. There is a decimal point. So the trailing zero is counted and all of the zeros in between the three and five are also counted so this example is going to have five significant figures for the next one we do have a decimal point.
But there are no trailing zeros. We do have some leading zeros. But those will not be counted. So only these three digits will be counted.
So there s three significant figures in that number for the next one. We do have a trailing zero. Which will be counted the leading zeros will not be counted. So there s only four significant figures.
Now in the next number 5030. We have a decimal point. So all of the trailing zeros will be counted and the zero between the three and five that s always counted so we have a total of five significant figures for the last example all of the zeros in between the nonzero numbers are counted and since we have a decimal point the zero to the right is also counted so everything is counted in this example. So.
There s let s see 1 2. 3. 4. 5.
6..
7. 8. 9. So we have 9 significant figures for that problem.
Now. The next thing that you need to be able to do is you need to be able to round a number and when multiplying or dividing so for instance. Let s say if we re multiplying 4 point. 6.
By 3 point 5 2. How can we found our answer with the appropriate number of significant figures well the first thing. We need to do is perform the calculation. So four point six times three point five two.
If you type that into your scientific device your calculator will give you 16 point one nine two now. How should we round this answer to the appropriate number of significant figures. What would you say what we need to do first is we need to determine the least number of significant figures in the first two numbers that we ve multiplied already so in the first number four point six. There s two significant figures in the second number three point five two and there s three significant figures.
So when you re multiplying or dividing you need to round your final answer to the least number of significant figures in the original numbers that you use to multiply to get your final answer. So basically we need to round this answer to two sig figs. So right from left to right. We have the first digit.
Which is a 1 and then the second one is a 6 now already this is two significant figures. So the last number that we need to look at is the six should we keep it as six or should we run it up to seven and so we need to look at the next number. If it s five or more then we need to round the six to a seven if it s four or less then we re gonna round down. We re gonna keep the six and because it s four or less it s one we re gonna round down so our answer is 16 rounded to the appropriate number of sig figs.
Now let s work on some other examples. Let s multiply five point six four by three point or rather let s choose a higher number by twelve point four five eight. And let s divide ninety six point seven five two five three point five four one go ahead and try those two examples round your answer to the appropriate number of significant figures. So first let s type this in the calculator so five point six four times.
Twelve point four five eight. So the calculator gives us 70 point two six three one two. Now. The first number has three significant figures and the second number has five significant figures.
So we have to round our answer to the least number of significant figures..
So that s three so how can we round 70 point two six three one two to three significant figures. So we re gonna need the first number. The second one and a third one should we keep it a two or should we round. It up to a three looking at the next number to the right of the two it definitely falls in the category of five or more.
So that tells us that we need to round up. We need to round a2 to. A3 so the answer for this example is 703. And it has three significant figures.
This answer has a total of seven significant figures now let s try the next example so let s begin by dividing ninety six point seven five two by three point five four one. And so you should get twenty seven point. Three two three three five four nine eight. Now the first number has five significant figures and the second number has four so like always when multiplying or dividing you need to round your final answer to the least number of significant figures in this case.
Four so looking at the fourth digit or the fourth significant figure started from the left should we keep it at a two or should we round. It up to a three so looking at the next number it falls in the category of four or less. So we re gonna keep the two so our final answer is twenty seven point three two now let s talk about addition and subtraction. But mostly addition so let s say if we wish to add two point three six plus.
Twelve point one how can we round our answer to the appropriate number of significant figures. So if we add these two numbers. This will give us fourteen point four six four. What should we do here for this type of problem.
It s better to write the problem like this now you need to round your final answer to the least number of digits to the right of the decimal. Point so what i like to do is draw a line because for 121. There is no number to the right of the 1 and so we re not going to have any number to the right of this line. But that if we added two numbers.
It s gonna give us 14 point four six. So what we re gonna do is we re gonna keep this significant figure. But we need to determine if it should stay or four or if we should run it up to a five looking at this number. It s greater than five.
So we need to round this number up so our answer is going to be 14 point five. And that s how you re supposed to do it. And when adding or subtracting. Let s try another example four point three to eight plus.
13..
Plus five point four five. So go ahead and try that problem well first. We need to add. So we have an 8 2.
Plus. 5. Is 7 3. 4.
7. And then 4 plus. 3. Plus.
5. Is 12 carry over the 1 1. 1. Is 2.
So we get twenty two point seven seven eight. Now what should we do next how can we round it so what we need to do now is determine. Which number has the least number of digits to the right of the decimal point and so that s the second number. So we re going to draw the line here because it has nothing on the right side of that line so therefore our final answer should only contain these two digits.
But we re going to use this 7 to determine what we need to do to the two should we keep it a two or round. It up to a three well seven is more than five. So we re going to round the two up to a three. So.
Our answer is gonna be 23. And that s basically it for this video. So once again if you want more problems on significant figures check the link in the description section of this video for the other video of where it s it goes into more detail on this topic. ” .
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