Scientific Notation: Addition and Subtraction

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Explains how to add and subtract numbers written in scientific notation, whether or not they have the same exponent.

[@souflotv]

many thanks to you sir, im attending university and have been struggling with scientific notation and for some reason you have made me understand it when my professor has not been able to. THANK YOU THANK YOU THANK YOU

[@yesyes3947]

I’m in high school hopefully I remember

[@souflotv]

@Zachary Grubb Yes, here is a fun fact. Make sure you learn it in whatever grade you are in if you plan to go to University. By the way, I am now a University grad and have been working in my field for a few years now.

[@sarahhh9189]

@Zachary Grubb OMG SAME. my teacher just gave me this and I'm stuck on subtraction one

[@crazyjupiter0793]

SouFLoTV good job man I hope you’re successful! What is your field?

[@josephharris108]

OMG im in 7th grade learning about this stuff

[@1nonlyeraa]

6 years later...Wow Thanks! This really help me on my homework.

[@sad-vm2hf]

I mean....

[@flock65-t5g]

?.......llllllllllll.......

[@tdewitt451]

watch the video called "scientific notation: multiplication and division"

[@Summit-sharma]

Where do u live?

[@susmitasubhadarshini8313]

Nice explanation 👍👍

[@yesyes3947]

Will do

[@shontywilliam8618]

Please make videos on class 12 chemistry also🙃

[@hdhdirirvebd]

Thanks. You explain everything so well

[@tristakoh9532]

this was ten years ago but still helps a lot in this new generation

[@snowdrop999]

hii

[@princessmcq9044]

Thank you so much! During this whole "pandemic" thing I'm doing online school and my Physical Science teacher is not the greatest with technology. She's also been having difficulties with software so that doesn't help. However, this was a great help in getting my homework done so thank you!

[@reyesstaywinnin1397]

ok ily

[@flock65-t5g]

Np

[@Kay-nk1bl]

Be my teacher omg 😭 thank you so much.

[@abhinavdhadwal7584]

right

[@wolfknight7779]

Thank u for explaining this so well. The online course I was taking made it so confusing. I appreciated this video.

[@halimahahmad8458]

wow i was so lost before i found this video and now i feel like i can do it. i really needed to learn this since i have a test on it tomorrow. Thank You So Much for making this video! it helped me a lot! you are a really good teacher!

[@beautifulworld2466]

How can anyone dislike!!!such an amazing video😠😠

[@madimo2369]

Congrats, you have taught me better in 7 minutes than my teacher did in 50 minutes.

[@nooramohsin260]

thank you so much you explain so much better than my teacher tom I have a test and hopefully, I do good on it

[@malaikabaig4929]

ahhh, tysm!!! only person who can speak my language.

[@frozenfishtv7992]

2018? anyone

[@hypersonic677]

Trust me I'm the only one that's going to reply 😁

[@olive545]

:3 I'm here

[@hypersonic677]

I got a 90% on the test, not my best but I'll take it

[@rain7418]

2019 my dude

[@TarxP-we1xp]

Me. Lol

[@ashikapreethi2182]

Wow!! This is the vedio I've been searching in the whole KZbin

[@johnedwardlago866]

Or you could just move 2.9785 x 10-8 to the right ?? Right ?? So that the exponent will be x 10 -10 ? Then the answer will be 292.13 is this also an correct answer ??.

[@andrewnguyen1652]

joed acilo yes as it will be 292.13 x 10^-10 which is equal to 2.9213 x 10^-8. He does it to 8 however as usually in scientific notation you only have one number on the left of the decimal. Hope that helped and sorry for being 4 years late 😆

[@MattNatividad-pw8rf]

@@andrewnguyen1652 came here wondering this, so 4 years later, thanks for the answer! =)

[@xXNo0bZXx]

I Learned this in 7 minutes while watching the video, teacher used 1 week to teach us and I din't understand..perfect. HOLA SHIRAZ.

[@James1239170]

Awww. Now I get it, I knew I was doing something incorrectly! Thank you for uploading this video! I have been searching on the internet for help but so far I now get this!

[@satyanidhiashi9486]

Amazingly explained 😊👍👍sir

[@sisoftara]

You're amazing. You now have made my life easier.

[@gracenin999]

You made this sound so simple. Thank you for the help!

[@jadej187]

thank you so much that was the first time I actually understood this stuff

[@chloee7532]

OMG THAT YOU, LIFE SAVEEERR, THEY NEED TO PUT YOUR FACE ON THE CANDY BRUH CAUSE YOU ARE SO HELPFUL 😂 I WAS STRUGGLING AT FIRST

[@shannon8817]

so much better than my teacher. thanks!

[@seanamos6286]

Fr

[@vivaandaboss1237]

Thank you. This helped a lot

[@andykim1814]

Thank you! It helped me very much on my math homework. :)

[@dimpy010]

on the first subtraction problem u went to the left ... i thought that makes the power bigger and going to the right makes it small

[@samanthadotters9483]

Thank you so much for these videos! You explain it in a way that is easy to understand, I am doing a long distance uni course and the way things are explained sometimes I just can't get my head around it. I watch one of your videos and I am able to understand so much better :)

[@austinc4688]

Thanks you helped me with my problem

[@seuss9295]

Isn't .14 merely short for 0.14? So, like even if there's no number settled before the decimal, there's still the number 0 there, right?

[@rohbit]

I was hoping you could clear something up for me. If, after addign two numbers in scientific notation you end up with: 10.8x10^-6 which has the correct number of decimal places. Would it become something like: 1.1 x 10^-5 or would it instead become 1.08x10^-6? If the latter, why woudl that be the case if the original number calls for only one decimal place?

[@marinadeangelis8505]

when moving the decimal to change the exponent, do we always try to match the smaller or bigger one?

[@natalielexidor3951]

Question. How do you know which exponent to decrease or increase?

[@dreams4964]

Thank you so much.

[@jessiesoul3821]

Thank you so much. You're a way better help than my actual teacher xD lol

[@akakt1o898]

you're the reason I pass chemistry😂

[@henriglodo4456]

thank you so much 👏👏👌 very clear voice and I get it fast +Tyler dewitt

[@mariaofeliaancheta4570]

thanks! big help... God bless you

[@stalledge5026]

(3.1 x 10 raised to 2)+(7.2x10. raised to 2) (3.1+7.2)x10 raised to 2 =10.3x10 raised to 2+1 =1.03x10 raised to 3

[@stalledge5026]

How it became 1.03x10 raised to 3?? please answer 😊

[@rocketrider1405]

when you make 10.3 smaller by one decimal place so it becomes 1.03, you then make the exponent bigger by one so it is 2 +1 = 3, so the final answer would be 1.03 x 10^3

[@abhijitpatra4557]

Wow you r so good bro...

[@inyadreams22]

OMG you helped me sooo much!! Thanmk youuuuu

[@rakeshchauhan4618]

thankyou bro you clear my douts

[@htoWn]

Better than Indian education!

[@tdewitt451]

you have to change one of the exponents so that they are the same. i talk about how to do that in this video.

[@LuffyFilmZz]

You have to change the exponent with the one that has least numbers of decimal places?

[@ThisAccountIsDead333]

You're better than my algebra teacher thanks!

[@chubchub1307]

Lol so true

[@HachiLivesInHawaii]

Lol I got confused cause my algebra teacher said to use the smaller number exponents and told me to go right.....so I tried my teachers way and than played the video to find the answer and I was still correct so xD would this matter tho in another algebra class?

[@jaxson8839]

o x yo same i’m dying

[@tdewitt451]

thanks so much for your kind comment! i'm always thrilled to hear that my videos are helpful!

[@alexjones1738]

Hey! How are you doing?

[@tdewitt451]

@DianaJimenezMUA nope, it doesn't make any difference which way you move the decimal point!

[@winteristhebestseason6118]

2019 anyone?

[@cristinadamian4078]

same. This helped me sooo much.

[@manalabdulla_]

Helped me soooo much tmrw I have chemistry EXAM😭😭💔

[@coreyc408]

Yep

[@RuskiVodkaaaa]

Exam in 2 days, wish me luck

[@RuskiVodkaaaa]

goodluck @@reezurk6135

[@tdewitt451]

Yes, it HAS to be only one number to the left of the decimal point. If you have more than one, for an answer like 45.3 x 10^3, it's not right, and you have to change it to 4.53 x 10^4.

[@tdewitt451]

yes, but these are NEGATIVE numbers. i'm moving the exponent from -10 to -8 by moving the decimal to the right. -8 is BIGGER than -10 because they are negative numbers. for more help, watch my videos called "scientific notation practice problems" and "fixing incorrect scientific notation."

[@madhusudan8790]

Tyler DeWitt thank you l guess now l am really interested in maths

[@caszelbrent8018]

tyler why did you subtract 2.9785 and 0.0572??

[@caszelbrent8018]

oh sorry i thought it was addition LOL sorry

[@tdewitt451]

great question! for help, watch my video called "fixing incorrect scientific notation."

[@tdewitt451]

absolutely you're forgiven. i was just having a really bad day, too. but i appreciate your apology and i hope you'll accept one from me. i'm glad the other video was helpful. message me if you still have questions.

[@vitojurado3989]

Thanks so much for this great video! Finally someone who I can understand! And now you got a extra sub! I got a quiz tomorrow on this and a bunch more of exponent stuff and this helped me so much! Thnx! Ya da best! :) Rate up if true lol.

[@angeloamarello4474]

i hope you didnt do what he did because if so you failed he did the moving of the decimal and changing of the exponents completely backwards

[@vitojurado3989]

Actually I got it correct? What are you talking bout. But anyway thanx

[@davefeil1522]

i dont get with exponet to change?

[@lukewilson7704]

boi ya dumb

[@chubchub1307]

Luke Wilson speak for yourself

[@monicagallegos2111]

At 5:22 shouldn’t the decimal move to the right instead since you want -10 go down to a -8

[@destleefo8763]

@cheese fries these exponents are negative so -10 is actually smaller than -8

[@ummehaniya7662]

@@destleefo8763 I actually had the same question.. ,thanks 😊

[@destleefo8763]

marzia khan 😎😎😎

[@XxSuperGamerxX42069]

Well since it's a negative number making the actual number itself smaller makes it less negative there for its bigger. The bigger the negative number is, the smaller it gets and vice versa

[@medoosama1120]

Damn you guys are smart af

[@JHSuper]

This explains it way better then my teacher. I think its because I can pause the video

[@jimbarringer1253]

"We hope so hard..." -Tyler Dewitt

[@tobyryu9083]

OMG THANK YOU SO MUCH 7TH GRADE ALGEBRA SUCKS AND SO DOES MY TEACHER THANKS

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Toby Ok Lol

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My teacher's Name is terry I call her TERROR😂👌

[@eshalnadeem6005]

Toby R.

[@kristyculpepper4689]

Lol

[@mariamawityoseph1684]

so u in 12th grade now 🤔

[@tdewitt451]

@imarghoob go to 3:37, where i say, "i'm not using significant figures for these calculations." significant figures make everything more complicated, and i'm just trying to teach the basics here. if you're already good with sig figs, apply the rounding rules yourself.

[@tdewitt451]

you're so kind! and i love the wicked shoutout in your screename!

[@VictorBravocarsales]

Fuckin shit you are a god send!! Thank you for all your videos man. You have a gift! Now only if my professor had the same gift:0/

[@abderrezzakalfrid8153]

thanks bruh ur boss +Tyler Dewitt

[@tdewitt451]

Anytime! Happy to help!

[@chasingprofit8829]

+Canned Bread If U See No Decimal Point Its At The End Of The Number

[@20ncook]

keep the hate for yourself crab

[@arjaymonteza7221]

11years later, woah you're helping me with my science module im just 6years old when you're discussing this!! im 17now

[@bfreeinjesus2323]

You're the best! You explained this concept so clearly. Liked the graphic for adding and subtracting exponents. This will help my son a lot! Thanks for sharing your gift. l

[@tdewitt451]

@vision57 well first, i moved the decimal to the left, not to the right. that makes the exponent on ten BIGGER. and -10 is SMALLER than -8, because they're NEGATIVE, right? remember, for example, -2,000 is lower than -2. take -10 and add one (-10 + 1), you get -9. take -9 and add 1 (-9 + 1), you get -8. so -8 is two bigger than -10.

[@AlexTer221]

are you a teacher or what because you're a boss at explaining this, thanks so much you help me a lot!!

[@tdewitt451]

great question! for help, watch my video called "fixing incorrect scientific notation."

[@theveilwastorn7128]

Just want to let you know that I'm studying for a chemistry test on all of this stuff tomorrow and it's very overwhelming, especially having to do all of the math on paper and making sure that's all correct. Your videos help me so much and probably are going to boost my test grade so much! Thank you!!!

[@coolhedgehog8936]

Did you pass?

[@WyattBlankenship1234]

Cool hedgehog I don’t think he’s going to reply to that anytime soon lol

[@tdewitt451]

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.

[@Tigerwolf102onYoutube]

FINALLY SOMETHING THAT MAKES SENSE!!!

[@InSearchofaSunrise]

you saved me! thank you so much! The time and effort you put into making these videos is greatly appreciated and extremely helpful ;)

[@MrBashfulBun]

Thank you so much! Schools don't teach well these days, sigh~

[@fatimapeaceful]

Reporting from the future, it still doesn't teach any better to this day either

[@daniellemarotel9043]

Very nice video! But at 2:37, while one can increase or decrease the exponent while moving the decimal place in order for the same powers, would it actually matter of the choice of choosing which one to change?

[@iloveme12391]

No it doesn't matter which exponent you decide to make larger or smaller.

[@Stephen-lt1tp]

actually it does I tried that with his next subtraction problem and got two different answers

[@tdewitt451]

do you have any idea how obnoxious this comment sounds? do you have any idea how long i spend making these videos? you don't like this? DON'T WATCH IT. make your own. send me the link when you're done and i'll criticize your work.

[@bananavizon4949]

You should be my teacher! Your so good at explaining this!

[@tdewitt451]

Don't worry, as I understood it, Luke Reynolds was calling *me* the idiot, because he didn't watch my video far enough through to see that I did example problems with different exponents.

[@ronbrown8611]

Awesome, teachers need to actually teach.

[@camerondavis9101]

why am i doing this I 7th grade????😢😢😢😢😠😤😦

[@chrismichael4048]

i feel ya dude

[@aymas3325]

have fun you're going to be doing this in 10th too

[@aymas3325]

***** yep lmao it always comes back

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you'll be so glad you learned this early, TRUST ME.

[@mayacarpenter3691]

i'm in 7th grade and I'm still doing this. why?

[@Ishfkavsjv]

I have a periodical exam next week and i find this really helpful

[@jeremyjacob420]

Wow, thank u sir!

[@AC3Clan101]

Wow c'mon man start the uploads again!! This stuff is so much help

[@tdewitt451]

@awztukat you're completely good. it's just a negative number, nothing to worry about. you can write both positive and negative numbers using scientific notation.

[@eesch28]

Second of three, thanks for the vids!

[@tdewitt451]

do it in two steps. follow the instructions here for adding the scientific notation, so do that and get an answer. and then follow the instructions in "add and subtract with significant figures (1.6)" for how the round the number you get. you'll be rounding the first part of the scientific notation, and you don't do any rounding with the 10 and the exponent.

[@alex91008]

Yes, when you move to the left the exponent gets bigger. So -10 becomes -8 when you move to the left two spaces. See when you go from -10 to -8 the number is actually getting bigger because you're getting closer to 0. Lets say your number is going from -8 to -10. Then your number would be actually getting smaller. Remember that when you are counting in negatives it's opposite to counting in positives.

[@itsjermmytv2458]

Thank you very much man I'm in 9th grade and this is a video from 10 years ago and it helped me like wow we are now in 2020 the year when the worse virus had an outbreak *corona virus* and it still helped me thank you so much.

[@tdewitt451]

great question. it doesn't matter, you can do it either way and it's perfectly fine.

[@arthurhyatt4664]

Thank you! I had to search so many videos in order to figure out how to deal with 2 different negative exponents. Amazing. Ty

[@zoebuki3512]

can i just say, you saved my life. just started chemistry and makes about 0.00 sense you made it so simple!!!

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I am going back to school and have to retake chemistry to better my GPA. In 2017 I used all your videos to help better myself at chemistry. Now that its 2022 I am still coming back to your videos. Thanks much for putting these together.

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Thank you Tyler Dewitt. I paid $900 for my CHEM 101 course, and I have a textbook and a prayer. I guess you answered my prayer! LOL. Seriously, thank you. Why is my professor doing nothing...

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a whole 7 days explained in 7 mins smh your a game changer man!

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Jesus, it took me so long to get this concept and I'm almost failing my class but then there's this video i could've used for the past week. Very nice.

[@eko1289]

I've been watching your videos for a couple of years now and I just gotta say thank you for saving my grades

[@coryschneider5429]

Please respond! I had to stop the video just to comment and say how good of a teacher you are. Thank you so much! Oh my goodness! You're such a great teacher, you break things down and tell us what has to be done in such an easy way! My teachers don't do anything like you... My chemistry teacher gave us homework like this last day and expected us to know and complete it and i was like what the hell. Thank you so much, my homework is much more fun now! haha!

[@MostLikelyADudeHasTheBestStuff]

You probably won’t see this but to the person that did cool

[@Teelove777]

Hi loved the video but one concern i had was the last example you gave. would it have mattered if i moved either to the left or right to get that 1.4 ? Thank you, i hope you see this

[@angelinahernandez1420]

YOU ARE MY SAVIOUR!! 2 HOURS OF CRYING, AND I FINALLY FOUND YOU!!!! THANK YOU SO MUCH YOU ARE A LIFESAVER!!!!

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legit your the man thanks i needed help this video is so sick and appreciate good people like you on youtube helping kids like this thanks for making it so simple

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OMG I HAVE A CHEMISTRY QUIZ IN 2 MINUTES AND I FULLY UNDERSTAND NOW IN A MATTER OF 7 MINUTES! THANK YOU SO MUCH!

[@maria1239876]

when subtracting or adding the quantities with unlike powers is it mandatory to change the powers to the power with the lowest digit? (lowest digit but greater value)

[@pallavi4215]

What will be the answer: 10⁸+(2.7×10¹⁸) Pls give me answer....