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Two rules are used to decide how to round the result of a calculation to the correct number of significant figures. Use a calculation to illustrate each rule. Expla...

Question

Two rules are used to decide how to round the result of a calculation to the correct number of significant figures. Use a calculation to illustrate each rule. Explain how you obtained the number of significant figures in the answers.

Two rules are used to decide how to round the result of a calculation to the correct number of significant figures. Use a calculation to illustrate each rule. Explain how you obtained the number of significant figures in the answers.



Answers

When multiplying or dividing measured quantities, what determines the number of significant figures in the result?

Now I will answer the questions that states that win adding or subtracting the measure. Quantity. What? The Ramones, The number off significant figure in a reason. As we stated before, that's significant figure. Re prison. Ah, they're certain digits in measured man. And we take example before if we measure pieces off iron and the mother pieces of iron on another analytic, analytical Palance is called the top talents and disease Analytical talents like this. When we measure this, it gives us 3.10 a measure tell it takes it measure for four decimal one only when we measure the it give us one boy in tow 02 So it measure toe decimal. So when we want, when we add this basis together, when we see is a result the actual result be reused. The calculator is one point or two plus 3.1086 So the actual result is 4.1 toe 86 So way we add the space is off. Make them together. We will say this is a resume, but the first history number are 30 which we confirm it from them. But these two number are uncertain because when we measured this, we cannot deter mined the secondly to Mom. But here we can that reminds them. So in terrorism, what deter Mined? Their significant figure is the lowest numbers, the lows, the number off lowest decimal point. Who will, if be the result off adding or subtracting toe quantity together. Thank you.

All right. Problem 29. What are the rules? Were running off the result of calculations. So here are some rounding rules. So if the last digit is drunk, if the last stage of drugs is less than four or equal to four, that the last Agent retain is taken as such and all the other digits on it's right or drop. So this is called the rounding down 2nd 1 If the last digit drug is five or more, then the last did you retain is increased by one, and all the other units on its right are dropped. This is the rounding. Oh, so example, 5.30 because seven is larger than five. The last did you retain is increased by one. We're going to round to 5.4. And if we have five points, 34 four is rounding down. So we will leave the number as 5.3. Another example. Five. Oi 3439 And because here four it's also rounding down region. We'll leave it at 5.3

So in this video, we're asked to find the, uh s to state the rules for multiplying and dividing significant figures as well as addition and subtraction. So, for addition and subtraction, um, look as follows, you always have to you draw a line for the number, which is at least precise. So we were to add 3.1 and three point for five. Four. We would get our answer to be 6.4 64 However, we have to account for significant. So the least precise number is 3.1 and we draw a line at the end. When we lined the decimal places up down the middle and we realized that we only need to include the are significant numbers, we only need to includes three significant figures. So our answer would actually be 6.4 six. No. When we multiply, it works a little bit differently. We just have to find the number with the least significant amount of significant figures, and we have to just include that money so that many significant figures that are final answers. So if we have 5.1 40 it's still five point zero times three point zero zero way have to include Onley three. Significant, two significant figures, right? Because we and five points here, other choosing of your fingers and 3.0 there. Three. So we choose the one with the least amount. So which was 5.2 single give years that we find that we have to just include 15. Our final answer just needs to be a 15 week, uh or if we want to be more precise, we could say 1.5 times 10 to the one. So we have proper significant figures. And so these are the rules that apply for calculating significant figures thinking.

When you're changing a number like this do significant First Continental Jurists 123 and the first number petition the zero, which makes it full. So therefore, changing this to two significant fixes 3.6 times tend to the point I get a full girded and ex question. Yes, he raised this and go to the next number they give us this times Wasit. Thanks. Read a different number until this time we get three five point me e three 83 for eight to four. Significant. So we know we have three by So we have to do is deal with the numbers after the decimal point, and we have eight, so that's fine by says coursing affairs. Significant Fix says this is not. He called a fire for greater than five. Therefore, it does not affect the three, so it's still going to remain the same and be 35.85 which is the answer. So then the next one they gave Waas to 22.4 by by five to 3 60 plus, I said we're going to do with numbers after the decimal point in the 22 point so in this case we have. I'm the number after four is actually five. So when it is five, you rounded to the nearest even number. So this case, the nearest even number we have, it's for still there, for that is the answer. So we have 22.4, which is in three signatures.


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