Name: 1-1 可換的、連想的、分配的性質 (Commutative, Associative and Distributive Properties 1-1)
Uploaded: 2021-01-14T06:43:50.000Z
Duration: 7 min 19 s
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This video is going to be about the commutative, associative and distributive

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...

you can add them in two different ways. You can either say '5 plus 10'

Well, when two things commute, when people commute, like if they commute to work

and what we're doing is we're taking these numbers, the 5 and the 10,

So this is the commutative property of addition

We've also got a commutative property of  multiplication

is if we have two numbers, let's use 5 and 10 again

and and we'll get the same results either way.

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 say we have three numbers, let's say we have

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.

You realize, it's pretty obvious these things are equal.

Okay, and that's the associative property of addition,

We also have an associative property of multiplication,

Once again these things will be exactly the same,

and once again we can do the same thing with variables.

So this is the associative property of multiplication. Once again i think this

is common sense and you probably knew it already.

is called the distributive property of multiplication over addition, which is a

Well, what the distributive property tells me is that I can distribute this

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1-1 可換的、連想的、分配的性質 (Commutative, Associative and Distributive Properties 1-1)

obvious

basically

associate

positive