This video is going to be about the

commutative, associative and distributive properties. Basically these things are common sense,

and you probably know them already. Probably the only hard part is

remembering the names for them. So let’s start with the commutative

property. The commutative property says that if you

have 2 numbers… let’s say 5 and 10… you can add them in two different ways. You

can either say ‘5 plus 10′ or you can say ’10 plus 5’ Kinda makes sense. The same thing will work for variables. So if you have x plus y that would be the same as y plus x. So why is it called commutative? Well, when two things commute, when people commute, like if they commute to work they move, they change places, and what we’re doing is we’re taking

these numbers, the 5 and the 10, for instance, or the x and y and we’re changing their places. So this is the commutative property of

addition because we’re dealing with addition. We’ve also got a commutative property of

multiplication and all that says is if we have two numbers, let’s use 5 and 10 again we can say 5 times 10 or we can say 10 times 5 and and we’ll get the same results either way. And if we have variables we can say x times y or we can say one times x y times x. All that’s happening is the numbers or

the variables are moving, they’re changing places and so they’re

communicating, and this becomes the commutative property. Okay so we have the commutative property of

addition and the commutative property of

multiplication. Let’s go on to the associative property. So Let’s say we have three numbers, let’s say we have 2 and 3 and 4, and we want to add them. Well we could either add the 2 and the 3 together first and then the 4, or we could take the same three numbers, 2, 3 and 4, we can add the 2 to the sum of the 3 and the 4. and we’re going to get the same result either

way. When things associate, when you have an association of people, you have groups of people, so this is the associative property of addition. Once again it will also work for

variables. So I could have x plus y in parentheses plus z and that would be the same as x plus and then my parentheses y plus z. You realize, it’s pretty obvious these

things are equal. Okay, and that’s the associative property of

addition, associative because these things are forming associations, they’re forming little groups. We also have an associative property of multiplication, and all that says is that if I have 2, 3 and 4 and I want to multiply them, I could multiply 2 times 3 first and then multiply that result by 4 or 4 could take 2, 3 and 4 and multiply the 2 times the product of the 3 and 4. Once again these things will be exactly

the same, and once again we can do the same thing

with variables. So I can have x times y times z, and I can multiply the x and y first and then multiply the product times z, or I could have x and y and z, and multiply the x by the product of y and z. So this is the associative property of

multiplication. Once again i think this is common sense and you probably knew it

already. So the last property is called the distributive property of

multiplication over addition, which is a great name. Here’s all it means… let’s say I’ve got 2 and I want to multiply that by 3 plus 4. Well, what the distributive property

tells me is that I can distribute this multiplication, the 2 times something, to whatever is in the parentheses. So I’m going to distribute the ‘2 times’ to the 3 and distribute it to the 4. 2 times 3, let’s just write that as ‘2 times 3’ I’ll take my plus sign and then 2 times 4. Carrying out this multiplication I’m going to get 2 times 3 is 6, plus 2 times fo4r is 8 and that’s going to be equal to 14. The other way I could have done this, the way you might have been thinking, is I could take 2 times 3 plus 4, add the 3 and the 4 together, in other words, turn this into 2 times … 3 plus for is 7 … and 2 times 7 is 14. Either way I get

the same answer. So the distributive property of

multiplication over addition says that if I’m multiplying a number or variable times the sum of numbers or variables… that’s what’s in this parentheses here… what I can do is multiply that number

times each of the parts of that sum separately, and I can have more than two parts here, so in other words I could have something

like 3 times let’s say 4 uh… let’s put a minus sign in… minus let’s use a variable, 2x plus 5y and to distribute this multiplication what I’m gonna do is take the 3 times the 4, and that’s going to get me… 3 times 4 is 12, I take the 3 times the negative 2x, so I have negative 6x, 3 times the 5y so that will give me a positive 3 times 5 is 15. Okay, and the result I get from distributing this 3 over this 4 minus 2x plus 5y is going to be this 12 minus 6x plus 15y. And that’s it for that for those

properties. Take care, I’ll see you next time.

Who else is here cuz of school? like if u r….

Thanks!

Really helpful for my maths test!

Thx this helped I have a test tomorrow and I needed to quickly review this

thanks now i can do my homework correct

That helped a lot thank you so much

Yay I get it lol

Thank you so much 😁

Question: Can subtraction or division exist in communitive property? Can it exist in associative property and distributive?

awesome dude

Thanks! This video helped me a lot on my homework!

thankyou

Thank you

sooo

how will u write a decimal multiplied by a decimal?

That's very clear and helpful. Thanks for sharing…

Thank u so much

U r completely thrash, I got no help u should of done 3.5 times z=z times 3.5

THX u bailed me out 4 my Math test tommorrow

amazing thanx I didn't understand so now I do understand thanx

I wanted to know the following : what if it's 3/4* 5/6 + 10 – 9/8 + 1/6

Well these r random number I put in …but the sum is the same kind of any of u know this put that in comment

Thanks! Was stressing about a test in a few days time that included this and your video really cleared thing up and helped me understand.

thnx for your fabulous ideas now i can understand maths very well

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Your left handed

this guys obnoxious slurping and breathing is triggering me

I understood thanks so much

Thanks i realy need it for my ass. in Math

WHAT ARE THOSE…..fingers?

Thank you ….

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https://www.youtube.com/channel/UCYzAiEs8BoSZntHx0xvVSKQ Like and Subscribe to this channel for similar videos guys..

GOOD TO UNDERSTAND NICR EXPLAINED

Thanks so much this really helped me

Nice and helpful video. Good work bro !!!

I’m in eighth grade and I can never remember this. Fml

Thank God I found this video

Thanks i have an exam tomorrow

Simple and a Perfect Explanation ! Thanks a bunch !

Can you solve this sum

2 by 5 multiply _

Thank u this helped me so much on my homework!

It’s fucking Sunday and I’m watching this shit so I don’t fail

I wish I was getting high

Thanks !

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U explain it better than my Mom

My teacher said it’s wrong T-T I don’t know how

Thank you

H

Sir u r lefty like me

What is the use of associative property when you can add then as it is all these properties make math more harder

Is (8×9) ×2=2×(9×8) commutative?

This video is useful but change the camara

got it

thank you so much

1324rqwfasc

What about identitive property

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Thanks l am having exam today.

Thank you

this is helpful ur a life savor

This is really helpful, thanks!

try to speak clear English please

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i didnt understand the distributive law,help :/

I love the video but don’t like the smacking in it so sorry but I have to find another one or I will flip

Thank you!

DON'T READ THE COMMENTS GET TO WORK

2019, anyone?

nice

Thanks so much! No I can ace my math exam! I will tell you my grade when I get it!

Great video. Clear and simple. Thanks! 🙂

Who else here bcz they hav a maths test tomorrow

Oooooo 2012 man that’s some crap

I’m watching in 2019

Why in distributive property a×b+a×c why we have to use (a) two times

this helped SOOOOOOOOOOOOOOOOOOO much tank u

I am in 4th and this helped me a lot for my test thank you so much

Who closes the camera there for a second?

who’s her for the math final 😂

patato cam

i hated my math teacher in seventh grade (last year) so i didn't pay attention and never learned these. the way you explained them though, made perfect sense and i immediately understood. you're very good at teaching. thank you!

Thank you for helping me

I have a exams coming!!!!!!!

Bleddy dont hide your hands

Thanks for making mathematics so easy to understand.

Thanks well this helped those 251 people who disliked are just mentally stupid

I have a duet sir how get in dritubuty property 2(3+4) _2.7 _14 tomorrow is maths exam ooooooo

Guys.. This helped me a lot.. Thank you so much

Why can I understand this video while I can't understand in my class??

BTW:THANKS FOR TEACHING ME😊😊

Thanks:)

WHO CAME HERE TO GET AN A+ ON EXAM

But it’s actually 4 properties not 3

this video helped me so much thanks

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What isbthe dight of 4÷6=?what do i get?

Him:

You probably already know this its pretty simpleMe:😐😶