Partial quotient method of division | Multiplication and division | Arithmetic | Khan Academy

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An alternate to traditional long division

Missed the previous lesson?

Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started?

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Thanks a lot. Now I can explain this to my son. I actually do math like this in my head, but I didn't realize it was a "method."

DigitalNeb
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thank u for showing this to me it helps me a lot with division I hate division and I am really bad at it when you teach me it helps me a lot again thanks

annettecruz
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"The second method is long and inefficient"

Not to common core it isn't.

TheRageCommenter
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Made much more clear thank you. Still too much for 5th graders, but is what it is.

ajeffery
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@vpletap
You're right, could be confusing. It should at least not be taught at the same time. The methods that follow strict rules first, and sometime later the "mental exercises". It's just that there are many tricks for that help you get a feeling for numbers. E. g. it's a real timesaver, if you can get estimates very close and fast in your head. Actually maybe those fuzzy methods should be taught/used in other classes and NOT the math class.

superdau
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@keyloggerable1
But the second one can easily be in the head, while the first one is quite hard without paper. It took me around 15 seconds to divide this with the second method without pen and paper.
So "fuzzy" is quite useful! ;)

superdau
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i used this today because i heard the line "you ask me where the hell i'm going
at a thousand feet per second" in a radiohead song and i wanted to know what that was in miles per hour. :) this method saved me from having to work out the products of 5280 x 2 through 9 beforehand. very useful method for when you have a big divisor. i can't believe anyone would complain about having more tools at their disposal, but i guess it is youtube...

sehnsucht
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This Video *REALLY  REALLY REALLY* Helped me  :)

heerpatel
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Thanks. Now I understand why my fourth graders like this so much.

chmorley
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How do you go to decimals for partial quotient division?

clodey
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OMG my son has never said the new school way is better than my old way. Why make harder things harder?

getoverit
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The 2nd way is too long. The first way is easier and faster.

MrDawggie
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Cool this is what I need for my fourth grade class

Boukokone
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I'm corey it's HELP full be great full

lilkoolaidpack
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I normally love alternate ways of solving problems but this long explanation lost us (6th grader & parent).

sherisilver
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The 2nd way is a waste of time. math is really not that complicated!

bajanganel
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Wow I've Ben getting F, s in math on my second report card but when I watched this 5 times I got a D thx so much :D

cyrusmcboss
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To this day I’m still confusion with the first method he did and while the second method is longer I rather do it that way 👍🏼

lucybrick
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I’m in the 5th grade and I still don’t get and can 8 go into 8???

bswag