Significant Figures

it's been a while. Glad you're back bro.

I really like how you broke it down step by step and made it super clear. I think many students will feel confident to do this on their own after your explanation. Nice job Eddie!

Watched this purely from a teaching standpoint and I'm quite impressed. It never hurts to state the obvious, because what may be obvious to you may not be obvious to someone else. The students who know the 'obvious' will feel smart that they already know, and the students who didn't know will have a chance to catch up.

Love your stuff. As a science educator, I have enjoyed how spot on your math lessons are. Truly appreciate all you do for mathematics education. However, significant digits are far more than what you let on here. Sig figs are based on the scientific tenant to tell the best truth that you can with the available data. The rules of reporting a measured quantity are such that all known digits from our measuring device are significant.To obtain a better version of the true measurement, a last significant digit is obtained by estimating where the actual value is with respect to the last known digit. As an example, suppose a nail was being measured by a rule (marked as cm but subdivided into millimeters). The marks are considered to be known values on such a device. If we find the tip of the nail to lie between 7.3 and 7.4 millimeters, then our device knows the first two digitsL 7.3. But 7.3 may not tell the best truth. Thus we estimate where we think the next digit is to give a better measurement. In the end, the reported length might be 7.33 cm or 7.34 cm, where the hundredths digit is the estimate. Our device has created a situation where we have 3 sig figs for this measurement. Just wanted to share that sig figs are far more structured than the examples you gave, where it was seems that convenience was used to determine the number of digits being presented. To me, the start of your video was more about orders of magnitude than actual significant digits.

Definition of step by step explanation. I really don’t know how we get these videos for free. Thankkk you!

When I was in elementary school (or the equivalent in my country) I misunderstood how rounding worked. I would always start at the last digit I had, round the second last digit with that, then move on to the second last digit, round the third last, and so on until I arrived at the digit I had to round to :D It's just a silly little story from my childhood but also a good reminder to present students with multiple examples with increasing degrees of complexity so that slight misunderstandings that only lead to problems in complex cases can be nipped in the bud quickly

hi Eddie, what is your tech setup...? what is the stylus and pad and program u use for all this...? :)

Missed opportunity to say, Today we're going to talk about significant figures, now to understand why they're significant.

I was introduced to significant figures in high school chemistry class in either grade 11 or 12. It was never presented as merely rounding numbers up or down but involved a lot of rules about what makes a number significant and how many decimal places to show in the result. It really threw me for a loop, perhaps, partly because of the common definition for the word 'significant' that was in my mind but also because I was unsuccessfully trying to memorize the rules. e.g. "Nonzero digits are always significant." "Zeros between non-zero digits are always significant." "Leading zeros (zeros before the first non-zero digit) are not significant." "Trailing zeros after a decimal point are always significant." "Ambiguous A trailing zero before the decimal point is ambiguous. To avoid this ambiguity, use scientific notation to indicate whether you mean 3 significant figures (4.32 x 10^3) or 4 significant figures (4.320 x 10^3)." "When multiplying or dividing, the number of significant figures in the result is equal to the smallest number of significant figures in one of the operands." "When adding or subtracting, the number of decimal places in the answer is equal to the operand with the smallest number of decimal places." https://chemcollective.org/activities/tutorials/stoich/significant_figures#:~:text=Nonzero%20digits%20are%20always%20significant.&text=Zeros%20between%20non%2Dzero%20digits%20are%20always%20significant.&text=Leading%20zeros%20(zeros%20before%20the,zero%20digit)%20are%20not%20significant.&text=Trailing%20zeros%20after%20a%20decimal%20point%20are%20always%20significant.

Eddie, such content for free and organised? In this world of information overload? You are great. Keep it up and going ❤.

A dab hand in the classroom and in the DI, nice one Eddie

Learned this in engineering school. A very very useful concept.

Thank you sir. Please make a video on how to define trigo. Ratios on a Cartesian plane.

Your my most favorite teacher!!!!!

Even the very easy lessons, u teach beautifully. Thz Eddie!

Now, when I was studying chemistry, my lecturers more than once hammered home the difference between accuracy and precision. We're talking about precision here, not accuracy. Measuring the wall in metres, centimetres, or millimetres are all equally accurate.

Very clear explanation. Thank you.

The lack of understanding of significant figures has driven me nuts for the last 40 years or so. Unit conversions are the worst: the aircraft was flying at 11277.6 meters. How did they measure the altitude so precisely? Was that when the nose of the plane was above farmer Jones haystack?

Just like this video... please make the equation solving video from the beginning of the topics. Mostly videos are from the middle of the lecture and also the playlist is randomly arranged... your teaching style is beautiful but I am facing difficulty...

Woooooohoooooo.....ooooooo its Woo !!