Significant Figures

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[@StaticBlaster]

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

[@sayarsine6479]

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

[@ADITYAAAA]

👍

[@shengxianren]

四舍五入

[@keoniflow2019]

HOW DARE YOU MAKE ME WANT TO LEARN, I WAS HAPPY BEING AN IDIOT, BUT NOOOOOO, NOW IVE GOTTA LEARN STUFF, AND BE SMART, AND CONSUME KNOWLEGE

[@thatstressedguy]

ayy thanks

[@markch9v23]

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

[@ppha0244]

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!

[@ivegotpetercriss]

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

[@EricZuckerman1]

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.

[@Poodz_]

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.

[@luminous2585]

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

[@ppcorn4991]

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

[@thinginground5179]

9:23 huuuuuuuuuuh? but its closer to 500

[@Cheddarrat77]

hey its triangle guy

[@itsjoeyy3437]

third

[@toknn]

Second

[@jezza9339]

First

[@BlueGiant69202]

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." 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.

[@haiderjalandhari4363]

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...

[@icdroid]

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?

[@adityamishra7711]

Woooooohoooooo.....ooooooo its Woo !!

[@skilledbones6375]

Hi❤️❤️

[@existence.203]

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

[@brussels13207]

Please show how it works when multiplying numbers with different sig figures.

[@joshiifruit5554]

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

[@mathsprofabderrahim]

Thanks prof 👍👍👍👍👍👍❤

[@johnryder1713]

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

[@brussels13207]

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

[@trychillipie]

wait I hated maths and numbers before this

[@qwertyTRiG]

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.

[@jasonhilliker492]

Very clear explanation. Thank you.

[@George-kd4ox]

Your my most favorite teacher!!!!!

[@elsonsantos9045]

Are there a problem with the sound?

[@learnmathematics22]

Love you so much Sir 🖤🖤🖤🖤

[@magicado6294]

hi eddie we miss you

[@xboxx2783]

Appreciate the video sir!

[@anilmatthe]

First

[@epimaths]

Áp dụng vào cuộc sống.

[@mikoajp.5890]

A detail worth stressing is how to round 5: it shouldn't be always up, like it's very often practiced. It should be to the nearest even number. That way 3.5 + 6.5 sum up to same value as their respective single significant number values of 4 + 6. Of course, the rounding error won't always cancel out as elegantly - but statistically, even and odd numbers appear in sums as often.

[@xavierzhu7000]

You shouldn't be rounding before your calculation. E.g. 3.6 + 4.5 = 8.1 ~ 8 (rounded), rather than 3.6 + 4.5 ~ 4 + 5 = 9