MATHS P1 ON ABSOLUTE ERROR & TOLERANCE

Added: 2026-05-28

[00:00:00]Welcome back academic giants.

[00:00:03]Differently today we are going to have a session focusing on the absolute error and the tolerance calculations. And this as a topic in paper one is called approximation and estimation. This is going to be super simple, easy to understand and exam ready. thereby boosting the current confidence in trying to prepare adequately for an exam to emerge victoriously without needed distinction or rather a merit. And of course, we're going to have a tutorial question that best sets an example of how these are examined in most of the would be written exams. So it says a learner measured the length of the wire as 2.2 cm. If the length which is original is 2 cm find on the first one absolute error. I would want you to best understand that the absolute error is going to be the difference between the measured value and the original length.

[00:01:09]Suppose the original length of a wire is 10 cm and then a student is given to remeasure and then they end up measuring it as 10.5. The error that has been committed from 10 to 10.5 is the absolute error. Thereby we're going to subtract the two given values. And of course the absolute error is always going to be positive because we always use the modulus symbols. So like in this case it says find the absolute error. So we're going to believe that the measured value is 2.2. Then the original length or the actual value is 2.2. So we're going to subtract. So on the first one we're simply going to say absolute error equals we're going to say measured value minus that is the true value. Of course we can even put that is the modular symbol because this as the final answer should give us a positive value. So we're going to say absolute error equals to the measured value in this case is going to be a 2.2 2 cm, then the true value is going to be a 2 cm. Remember that this is the one, so we don't use a calculator. So, of course, we're going to write a 2.2 and then we're going to write a 2.0. So, then we subtract a 2 minus a 0. This one gives us a 2. Then a 2 - 2, this one gives us a 0. So, of course, our final answer is going to be 0.2. And then the common units are cm.

[00:02:46]Then on the second one it says find the tolerance. The tolerance is how much a measurement is off but still acceptable because it is an allowed value from the actual value. There are many ways of finding. Either you can find the upper limit and you find the lower limit then you subtract the two values that you're going to find or we can go directly into seeing that this is made simple. So on the second part of the question we're going to say tolerance. So on tolerance we're going to say this is going to be given by absolute error multiplied by two. And of course this one is going to be the absolute error. In this case this is a 0.2 and then multiplied by that is a two. So in this regard we're going to say 2 * 2.

[00:03:41]This one is a four and of course 2 * that is a zero. This this one is going to give us a zero. So this one is going to be 0.4 cm and in that particular way it means we've answered the question and much as we need to understand. Don't forget to subscribe to this YouTube channel. Don't forget to share this video and leave a comment wherever you are watching this video from amongst our possible platforms. We offer online lessons in mathematics where possible in the verge of trying to prepare adequately you can register with us.

[00:04:17]It's 100 quer per month and of course we've got other subjects. This has been your tutor Mr. Sensa from Sensor Academy School of Tutitions. Till in our next video for now it's a very goodbye. Stay focused.