Multiplication and Division with Significant Zeros (1.5)
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- เผยแพร่เมื่อ 15 ธ.ค. 2024
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Now that we know when zeros are significant or not, we'll do multiplication and division and rounding with numbers that have zeros.
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My first 2 weeks of general chemistry, and our professor is still trying teach the class the concept of sigfigs and how to add/subtract, multiply and divide them, and you just taught me in 4 minutes. Maybe some of these college professors should take some pointers from you guys teaching these things on youtube. Once you grasp this concept, it's so simple. A lot of my professors have a tendency to over complicate them, making it hard to learn for everyone. Thank you for the videos.
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you should start by watching "significant figures made easy" and then go from there, to sig fig videos 1.2, 1.3, and 1.4. the main point is this: if the digits you're getting rid of are 1 or greater, you replace them with zero. If they're decimals, you just erase them. so 45,232 rounded to 2 sig figs is 45,000. 45.232 rounded to 2 sig figs is 45.
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Thank you. These short lessons are extremely helpful, you make it very easy.
@danielladilly no, i intentionally left that rule out because i hate it, and it's mathematically incorrect. i know that some teachers like to use it, but it was designed for accounting (like rounding numbers in a bank account), NOT for scientific measurements. so if you already know the rule, great! but i'm not trying to teach it here.
Hey everyone, I'm here to help. If you have any questions or just want to learn more, click on the link in the description above. It'll take you to a page where you can ask me questions.
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@love4noreason usually you only put a decimal place for a number that has zeros at the end, like 230. or 4500. to show that those zeros are significant. if you have 151, since there aren't any zeros, you know that all three digits are significant. but if the answer were 150, and you wanted to show that all three digits (including the zero) were significant, then you'd put the decimal at the end. does that make sense?
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The grammar of some people...no wonder they don't get sig figs. But thank you for all the help so far! You're really going to be saving me this year in chemistry!
Thank you sir you are the first teacher that convince me to learn about significant figures I hate those stuff so much that it making me want to rage quit every time and the teacher keep being bs about the rounding and stuff :(
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i talk about this in my videos called "significant figures made easy!" and "significant figures made easy 1.2" message me if you are still confused after watching them.
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Please someone I don't understand why 0.021 is final answer according to sig fig rules wouldn't you say 21 is answer because any zeros to a left of a non zero number are insignificant he even says it.
He is dividing 480.00 by 23,000 (twenty-three thousand), not 23.000. I think you are confusing the comma with a decimal.
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I believe it would be 100. - Make sure you include the decimal point at the end because that makes the two zeroes significant. If you put a zero to the right of the decimal though, as you stated, you would then end up with four sig figs. So I believe that 100. is the correct answer.
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when your teachers say youtube is pure brainrot but you learn more from this guy in 4 minutes than you learned from them the whole year-
Awesome, this has explained significant figures better then my professor
watch my videos called "significant figures made easy!" and "significant figures made easy 1.2" message me if you are still confused after watching them.
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Should the answer always be exactly the same when you convert to scientific notation before solving for the solution and converting to scientific after you find your solution?
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what happens if you have 3 * 5 = 15 ? Does this get 20? Because this seems arbitrary considering no matter what your inital eg grams are you'll be always closer to 15 than to 20.
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thanks I really understand it now. Um, i just had a quick question. when you're rounding, do you start rounding at sig digits or just all the way at the beginning?
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Okay, so I have a question. If you were to multiply 17.3 cm by 6.2 cm, then you get a calculator answer of 107.26. However, you can only have 2 significant figures. So, how would you write that? 107 has 3 significant figures. 100 has only 1. 100.0 has 4. Would I write it 110, because it has 2?
What happens if you have the same amount of signifigant numbers in the problem?
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on the first problem that you solved , why do you round it to 2 sig figs and not 3 ?
Question, In the problem: 307 * 32,000 = 9,824,000 it becomes rounded off to 9,800,000. Can we change 9,800,000 to 98? There are still 2 significant figures in the answer
Quick question, in that very last problem, would there ever be an instance where you would need to include a decimal after the 151? I guess only if there were 4 sig figs; you would just include the decimal and the 4 (151.4)?
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How come on the first one you put trailing zero's at the end? is it because it didn't have a decimal?
I love learning off of here it helps me understand more than what my high school and college professor taught, but one question do you have to fill in Zeroes?
Hi, in my calculator it says that 8.000 divided by 532 is equal to 0.015037593 please check ur second example in 1:28 i dont know if im correct...
Omg this helped so much ! My chem teacher sucks! Thanks :)
What about filling in the rest with zeros? is that only on addition and subtraction?
Do you have to fill the rest with zeros ?
man i dont understand to where you round up the number before the decimal point
Hi, wouldn’t the last calculation is equal to 151. ?
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thanks soo much! i understood this sooo much better than in class
But how did we know to leave 2 sigfigs in the first problem’s final answer??
SO CONFUSED. Okay so someone correct me if I'm wrong but in adding that's when you skip all the zeroes... so for example... 0.00004367 would you only have four sig figs or would it be eight?????
+Gab Soria it would be four sig figs as the zeros are to the left
I am really confused , trailing zero should be consider significant or not wht i hear that leading zero are not significant
On 2:22 question 2 where you have said the answer is 0.0150 doesn't the zero at the very end has to be sandwich. Plz corredct my thinking.
+Abazar Naqvi 0,0 are not sig figures, but 150 are because the there is a decimal on the problem
No, it doesn't because, like he said, the zero counts in 150, because it is after a decimal. :)