>>Professor Perez: Hey! This is Professor Perez again. Today we’re going to look an

introduction to the distributive property. Of course, we’ve got to get Charlie out here. He better be ready! Hey, Charlie, you ready to go?>>Charlie: Ya…>>Professor Perez: All right, here we go. Right here. Introduction to the distributive property. So, what the distributive property

is, is what we’re going to do, is we’re going to distribute a number across an

addition or a subtraction using multiplication. Let me give you an example here. 2 times 5 plus 3. Notice the 5 plus 3 is in parenthesis. Before we get to the distributive property, what we could do is add the

two numbers in the parenthesis. You’ll see when we get to

the Order of Operations, that that is what we’re supposed to do first. Okay, that’s coming up soon. So watch. We take what’s in

the parenthesis, 5 plus 3. What’s 5 plus 3, Charlie?>>Charlie: 8.>>Professor Perez: 8. Don’t forget we have a 2. Now what’s the operation, Charlie? It’s 2 outside of a parenthesis. There is no operation written

down, so it’s assumed to be what?>>Charlie: Multiplication.>>Professor Perez: Multiplication. And so, 2 times 8 is what, Charlie?>>Charlie: 16.>>Professor Perez: 16, same as 8 times 2. Now, same problem, but now we’re going

to demonstrate the distributive property. Notice there’s a 2 outside the parenthesis that 2 outside the parenthesis

means you’ve got to multiply. But, you don’t have to add what’s in the

parenthesis first, you can add 5 plus 3, but what we’re going to do is

we’re going to distribute the 2 to the 5 and to the 3 by multiplication. Watch, Charlie. We first start with 2 times 5. So we’ll bring that down. We did 2 times 5. And now, in the parenthesis our operation

was addition, so we’ll bring that down and now we take the 2 and multiply

to the 3 and that’s 2 times 3. Notice the 2 was distributed to each the 5

and to the 3 and operation is multiplication. And now, what’s 2 times 5, Charlie?>>Charlie: 10.>>Professor Perez: 10, same as 5 times 2. And what’s 2 times 3?>>Charlie: 6.>>Professor Perez: 6, same as 3 times 2. And anyway, what’s 10 plus 6, Charlie?>>Charlie: 16.>>Professor Perez: 16 and notice

the two answers are exactly the same. 16. Now, of course, most of

you are probably saying, “Well, I’m just going to do the parenthesis first.” Yeah, but you can’t do that

all the time, you’ll see. Because I know you’re asking, “When am I

ever going to use the distributive property?” Well, you’ll see very soon. Now, same problem, Charlie. 2 times 5 plus 3. Now somebody mentioned this technique to

me so I’m going to go ahead and show it. 2 times 5 plus 3 basically means you have

two 5 plus 3’s a being added together, which is true, okay? And 5 plus 3 plus 5 plus 3, you

can add in any order you want. Remember adding numbers? You can add in any order you

want and we can just reorder it as 5 plus 5 plus 3 plus 3 which is 10 plus 6. Which is again, 16. Another way of looking at what’s 2 times 5

plus 3 in parenthesis, which is fine, okay? Now, here’s the example we haven’t

discussed variables yet in this class, but we’re going to demonstrate it right

now with this distributive property. Now, you cannot add x plus 3 in the parenthesis. Some people think that x plus 3 is 3x. No it’s not 3x. It is 3x if you want to repeat

this class, Charlie.>>Charlie: What? Huh?>>Professor Perez: Okay, x plus 3,

you cannot add those two together. 3x actually means 3 times

x, we’ll get to those later. But, x plus 3 you can’t add. So, are you stuck? No. You can apply the distributive property. You can distribute the 2

to both the x and to the 3. So, 2 times x is written 2x. 2x means 2 times x. And our

operation is addition in the parenthesis so we’ll bring that down. And we’ll take 2 times 3 which is what, Charlie?>>Charlie: 6.>>Professor Perez: 6, okay. You cannon add 2x plus 6

and that is your answer. So, you took 2 times the parenthesis x plus 3, and applied the distributive property

and then end up with 2x plus 6. So, we’ll be dealing with that a little

later in the semester and you’ll be dealing with that a lot in Beginning

Algebra which is the next class. Okay, now, let’s look at a

subtraction in the parenthesis, Charlie. Let’s do the parenthesis first. What’s 7 subtract 3?>>Charlie: 4.>>Professor Perez: 4 and you’re

multiplying by 2 which does give you 8 okay? Now let’s apply the distributive property. What do you, Charlie? Distribute 2 times 7 is…okay…and your

operation is subtraction so bring that down. And then what?>>Charlie: 2 times 3.>>Professor Perez: Okay,

2 times 3, that’s right. All right, now, we did 2

times 7 is what, Charlie?>>Charlie: 14.>>Professor Perez: Okay, bring

down your subtraction, 2 times 3 is?>>Charlie: 6.>>Professor Perez: 6, and what’s 14 subtract 6?>>Charlie: 8.>>Professor Perez: 8, same answer, okay. Now we’ll go to this next one. Here we’re going to distributive

across a subtraction and an addition. Same process. We take 2 times 7, bring down your

operation which is a subtraction, and then we have 2 times 3

which is…going to be 6. Bring down our addition and

then we have 2 times 2, right? Okay, so let’s do 2 times 7 is what, Charlie?>>Charlie: 14.>>Professor Perez: Subtract 2 times 3>>Charlie: 6.>>Professor Perez: Add 2 times 2.>>Charlie: 4.>>Professor Perez: Very nice, okay. Now remember, you’ve got to work left to right. 14 subtract 6 is what, Charlie?>>Charlie: 8?>>Professor Perez: 8. We’ve still got to add the 4 and what do we get?>>Charlie: 12.>>Professor Perez: Very

nice there, Charlie, yes. Now, the problem could have

been…uh…the answer could have been gotten by first doing the operations

in the parenthesis. 7 subtract 3 is 4, and 4 plus

2 is 6, and 2 times 6 is 12. Yes, that would be faster, but we’re trying to demonstrate the distributive

property, how it can be used. Okay, well, let’s do 2 times 43. Well, let’s think about how do we do this. Well, first, let’s break the

43 in the expanded form, okay? 2 times 40 plus 3 and if we distribute

the 2 through, what’s 2 times 40, Charlie?>>Charlie: 80.>>Professor Perez: 80. And we have an addition, and 2 times 3 is?>>Charlie: 6.>>Professor Perez: 6 and that gives you 86. So this is another way of looking at 2 times 43. Well, a lot of us tend to want

to use this vertical format. What you are soon going to see is this

vertical format, the reason it works, is because you’re using the

distributive property. It’s exactly what you’re doing, watch. 43 times 2. The first thing you are taught

to do is do what, Charlie?>>Charlie: 2 times 3.>>Professor Perez: 2 times 3 which is 6, yes. See? It’s the distributive property. 2 multiplied by 3. And then you take the what?>>Charlie: 2 times 4.>>Professor Perez: Go diagonally and go 2

times 4, which is 8 and you bring it down. Notice you put the 8 in the tens

place because you have 8 tens, which is actually 80 and

so 86 is just 80 plus 6. That’s your vertical format. Watch, let’s do a more complicated one. Let’s do 6 times 134. Don’t get scared! What we’re going to do is

write 134 in expanded form. In expanded form Charlie, what’s 134?>>Charlie: 100 plus…>>Professor Perez: That’s right. 100 plus 30 plus 4, okay, now,

apply the distributive property. What do we get, Charlie? What do we do first?>>Charlie: 6 times 100.>>Professor Perez: 6 times 100 is 600. Bring down our operation. What’s next?>>Charlie: 6 times 30.>>Professor Perez: 6 times

30 which is what, Charlie?>>Charlie: 180.>>Professor Perez: 180, because 6

times 3 is 18 and 6 times 30 is 180. Okay, Charlie, 6 times 4 is what?>>Charlie: 24.>>Professor Perez: 24, okay. So we work left to right, 600 plus

180 is 780 plus 24 which is 804. that is the answer. Now, Let’s do the vertical format. Now, we’re going to a vertical

format without carrying over. You’ll see what I mean. Watch, we first start with 6

times 4 which is what, Charlie?>>Charlie: 24.>>Professor Perez: 24, that’s

the distributive property. And then we do 6 times 3 which is 18. Now notice, the 3 was in the tens place, so

the 18, the 8 is written in the tens place and we bring down a place holder, 180. And then we go 6 times 1 which is 6. It’s in the hundreds place, we have 6

hundreds and we put in our place holders there and you add them all together and

the first column is what, Charlie?>>Charlie: 4.>>Professor Perez: 4. Okay, and then we have the 2 and 8 is 10. Put your 0, carry your 1,

and 1 plus 1 plus 6 is 8. It’s 804. That’s without the carry over. Well, let’s finish this lecture

by doing the carry over here. Okay, here we go Charlie, pay attention. 6 times 4 is 24. Put the 4, carry the 2. 6 times 3 is 18, right? Add the 2, is 20, put your 0 down, carry

the 2, and 6 times 1 is 6 plus 2 is 804. So there you go. That’s the vertical format. But these vertical formats are using the

distributive property, so there you go. That’s your introduction to

the distributive property. So, we’re going to work on

multiplication more, in the future, anyway, keep up with your homework and

we’ll see you all again soon.

## 100 Comments

## CloudyDragon

THANK.YOU.SO.MUCH

## Ethan Campbell

didnt really help me

## Roshan Budhani

charlie you suck

## Jackson Castellano

It looks like the student has a fake leg…

## red bat

Thank you this really helped

## jacob plays

i can pass ms.favorit test haha

## Hellion Star

The ones who says it doesn't help needs to listen……

## Alan Douglas

Charlie bit me…ย

## Alan Douglas

at 5:55 you said you need to work left to right but thats incorrect. It should be viewed as 14+(-6)+4 = 12…

takeย 8-2+1

you could either get 5 or 7 depending on what operation you do first. But if you view it as "positive 8 plus negative 2 plus positive 1" no matter what why you do it (left to right, right to left) the answer 7 is unanimous.

## Marie Polynice

I think that she really tried her best on this so all youll haters i want to see how u do it!!๐

## Marie Polynice

I tottaly knw tht property now!

## Marie Polynice

I could really do math now i understand it!!!!!๐๐๐๐๐โ

## Karen Montgomery

How did you film yourself and your "student" so that you were small?ย I would love to do some flip teaching with my 5th graders using this technique.ย They loved your video.

## A_NOLA_Angel

This was a great video. I watched with my son to help him understand distributive property better. He enjoyed. Charlie was a plus. We will definitely keep this channel on our list for when we need visual help.

## Alison Gomez

Thank you sooo much I understand it more better

## Sia Patel

Thanks it helped a lot ๐

## Jason Segars

thnx

## Juan Y Cris Gonzalez

Thank you for showing me !!!!!!!!!!:-D

## Whis Per

I hate algebra so much omg. This will never help me in anything but passing.

## Wildbatman 14

Thank you this is so easy

## Richie TheDemiGod

ty

## Wendy Rubio

he explains it more better than my feeling math teacher

## Cyppy747

I am only here because i was not paying attention in the start of class and couldent catch up in the end

## Ryanmc24 Gaming

Yikes!

## Norberto Silva

why ยฎ they so tiny?๐ฎ๐

## Norberto Silva

My teacher explains it 10 times easier than thoses guys, just to let u people know.โ๐

## Norberto Silva

Marie Polynie, Ur blind

Its a MAN!!!!!!!!!!๐น๐น๐น๐น๐น๐น๐น๐น๐น๐น๐น๐น๐น๐น๐น๐น๐น

## Norberto Silva

They make math better than math textbooks๐๐โ๐

## King Bugz

AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

ALL OF YOU TEACHERS ARE THE SAME

## Janeke Walker

thank you so much for keeping it simple….. needed to teach it to my daughter….keep up the great work

## sud nai soil

I can understand it because of you!!!!

Thank you very much (when I studied with my teacher it was very hard)

## The neutralizers

Thanks

## Steve Macias

Thanks a lot you helped me with my homework. Keep up the good work ๐

## Steve Macias

Thanks a lot you helped me with my homework. Keep up the good work ๐

## Courtney

my algebra teacher has us watching this w/ a sub

somebody kill me now

## Katkrasher Pb

How old is Charlie m8 come on

## can I get uhhh

this actually helped me alot thank u!

## MsSweetJames Jones

Thanks for sharing your knowledge on this. You explained it waaay better than my teacher ๐ Now I got it! ๐โ

## Chevy Leal

help how I do 6n+6 (2)

## Raven Emerland Johnson

Thank u!!!! 6th grade now it makes sense!!!!๐๐๐

## shaquita sibley

this is boring

## Duck HecKK X

I dont understand why people dislike educational videos

## MichaelsMoments

haha funny charlie

## star killer second account

this helped me a lot

## SlimePack

I had to make a word wall for my eighth grade class and this helped me so much ๐ ๐ ๐

## Autumn2raw Loves

This helped me also i was lost in class but when i watched your video it helped me so much thank you.

## Nev Arez

Helped me

## Softkitty16 S.

thx for that

## Tru MoO

Million thanksssssssss

## Melissa Xavier

this helped me ALOTTTT

## Carnivoid

This helped me 2(34+54) times a lot.. by the way, how's charlie

## jame ohara

boii charlie knows his math hes knows its fast

## jame ohara

brb when can charlie get the wronge answer

## jame ohara

i bet he got all the answer on his paper charlie

## david huynh

Thank you for explaining how you can take a more difficult multiplication problem and use the distributive property to make it a simpler one. Can you please if it is even possible show me how you can use this process to make multiplying with integers simpler?

## Lavahn Scott

fuck you bitchhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh this didnt help @ alll dumb bitchhhhhh

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fuck you

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bitch

## Poopy Butt

Thank you! I gotta test today to see if I get into algebra, and I completely forgot how to do the distributive property and simplify like terms. I'm dumb.

## Mohammed Mujassim

thank u so much I learnt a lot

## dj wilims

Thank you this really helped me

## TwitchGox

herro

## Kimberly Beltran

This helped me a lot since I just started algebra and were learning this ๐ thank you ๐

## I Davis

Your awesome

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Wowowowowow

## Sellin Bricks

This year im not going to past cuz of this

## Blitz_X

lmfao its so easy

## JB - 10BS - Central Peel SS (2522)

who else has a test tomorrow

## Amare The wishingworld warrior

Well this help m I third grade.๐

## Sophie Galeas

Mucha Mathematica gracias por ayudarme voce

## Quirkiness

Haha.. Iโm never going to pass math

## Quirkiness

It isnโt helpful when they keep using the word distributed when I still donโt know what it means

## Esther Oforiansah

Emmmmmm your asz is wrong

## Salty Pancakesss

Sorry I don't follow………sorry ๐

## Rocio Vasquez

This was a really helpful vid I really needed that or else I would have gotten a big fat 0 in math

## Elexis Stacy

Ugh I hate this. Not the video but the actual thing. Iโm not saying that cuz I donโt know how to do it, Iโm saying it because itโs confusing. I mean take 5(8+7) for example why canโt I just add 8+7 then multiply it by 5. But I would have to do 5*8=40 then 5*7=35 then 40+35=75 but the other way of JUST SOLVING IT Is easier

## Zol Galon

Lmao. Good charlie.

## Rama K.c

This man explain very well

## Taekook _

4:56 But when the teacher was teaching us she said it will be like this 2(7-3)= 2(7)+2(-3)=14+(-6)=8

Is it right I need some help because I am studying for the finals

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## Harpyy

Thanks so much my teacher talks to fast and did not explain it well

## Olive Broomfield

I dont like it๐น๐บ๐๐๐

## Seidian-Belle Causey

This was great help for me. It was confusing ….

## klazer tazer

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## b0oTy M0NstER

Ny 7th period ain't teach this shit yet…oh just me ๐

## EverythingGamer 123

When YouTube teaches you better than school. LoL ๐

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Huh

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## Janae Duncan

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