Significant Figures | Add, Subtract, Multiply & Divide Sig Figs | Chemistry Physics Engineering

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Understanding Significant Figures (also known as “sig figs”) is incredibly important in Science! When you collect data, whether you’re doing Chemistry, Biology, Physics, or Engineering, you need to notice how precise your tools allow you to be. There should be one estimated digit in your data.
This is where the idea of significant figures comes from - from measurement! Make a note of how precise your data is before you start calculating. Then you round off to the correct number of significant digits at the end of your calculations. Otherwise, you give people the wrong idea of how precise your initial measurements were.
In this video, we’ll go over all the rules for determining significant figures. We also do examples of sig figs in calculations! We show you the rules for adding, subtracting, multiplying, and dividing. We even cover the advanced topics of significant figures in logarithms and when you raise 10 to a power.
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LESSON CHAPTERS:
0:00 Intro
0:29 Quick examples of significant figures
1:19 Where does the idea of sig figs come from?
2:30 RULE 1
2:54 RULE 2
4:22 RULE 3
4:58 RULE 4
6:40 Adding and Subtracting Significant Figures
7:30 Multiplying and Dividing Significant Figures
8:14 Logarithms and 10^x with Significant Figures
9:31 Super Useful TIP!
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Written and Produced by Kimberly Hatch Harrison
About our instructor:
Kimberly Hatch Harrison received degrees in Biology and English Literature from Caltech before working in pharmaceuticals research, developing drugs for autoimmune disorders. She continued her studies in Molecular Biology (focusing on Immunology and Neurobiology) at Princeton University, where she began teaching as a graduate student. Her success in teaching convinced her to leave the glamorous world of biology research and turn to teaching full-time, accepting a position at an exclusive prep school, where she taught biology and chemistry for eight years. Kimberly co-founded Socratica Studios.
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#Chemistry #SignificantFigures #educationalvideo

[@freddanes3051]

Very helping for my upcoming tests in year 7 thanks

[@Socratica]

Don't do another calculation before you understand SIGNIFICANT FIGURES! Essential.

[@SanamKhan-oq9to]

Ok Dear

[@obaidullahkhan9512]

very informative lecture

[@kunslipper]

Thank you so much.

[@StanislavBashkirtsev]

By rounding intermediate results you're introducing an additional source of error. Ideally we should round only the final result. Sure, when doing calculations manually on paper we probably won't write a lot of digits after the significant one, but it shouldn't necessarily be just 1 non-significant digit - the more the better.

[@charmercado8843]

Hi classmates CE-1B 2020-2021

[@Comrade4213]

what does it mean " at the end of a quantity written as a whole is not sig fig. with example

[@yeppy013]

Classy :)

[@chandramanikumar2558]

Make some physics lessons please

[@MetaSonic543]

Have you guys done many economics videos? I also enjoyed those videos on some of the states!

[@Socratica]

We haven't tackled economics yet, but we will one day! Our cofounder, Michael Harrison, is a mathematician and a former "quant" (quantitative analyst) so he has some plans to cover that subject in the future. Thanks for watching!! :)

[@YJWoadWarrior]

What grade level is this?

[@Socratica]

Hi Curt! Good question. We made this video as part of our Chemistry series, which is appropriate for students of chemistry in high school and college. But this subject of significant figures often comes up earlier, in students' first science class in high school. Most students struggle with this concept, and so it gets repeated often, usually in the beginning of every science class from Freshman year in high school all the way through college. :) Thanks for watching!

[@YJWoadWarrior]

Thanks, I was just wondering because I didn't graduate from high school. When teachers started talking about this stuff I lost interest real quick and started thinking about other things lol.

[@sumi7319]

Hi

[@Me-xc6xh]

Does 10.0632 contain six sig figures? I have this serious doubt🤔

[@ExplainIttoMe_1]

Me 18 Yes, you’re correct. Non-zero digits are significant and zeros in between non-zero digits are also significant.

[@wyattbarrett9340]

I love you

[@vand4lL08]

lab ka ba?

[@freddanes3051]

Ddd

[@emmajonesova]

How about a little lesson in Morse Code? 😄

[@Socratica]

That's so funny you mention that! We've been thinking about a video on Morse Code for a while! We have the audio files for each letter, but we are still in the script stage. Thinking about a fun way to teach it...We like the idea of including it in a short series about codes/ code breaking. Thanks for watching! :)

[@foobargorch]

huffman coding gives a nice justification for morse code and leads nicely into cryptanalysis of simple substitution ciphers

[@Socratica]

Great idea. I love the idea of using a Huffman Tree.

[@Carp69]

You Are wrong at 4:15 there 5 sig fig

[@juliekatyplays9451]

no, she's right 0.04463 has 2 leading zeroes, and leading zeroes aren't significant