Math Properties

Commutative, associative, distributive, all three
Math properties—it's what you need…
Flocab, let's go!

The first property is commutative,
Your terms can move when you're the one computing them.
If you reorder the terms when multiplying or adding,
You get the same answer, 'cause the order doesn't matter.
3 + 5 written a different way
Is 5 + 3, they both equal 8.
A + B = B + A,
And J x C = C x J.
Addition is not the only operation
That works, we can also use multiplication.
But this rule, it doesn't work with subtraction or division,
With subtraction or division, stick with the order given.
If you need a mnemonic, think about the root:
“Commutative” comes from the word “commute.”
The commutative property is the one that allows
Us to write the numbers down, then move the numbers 'round.

Commutative property: in any order, you can add and multiply.
Associative: you can group the terms any way you like.
And now the last one,
When you multiply a sum, you got to break it up
That's distributive property, it's got to be
Commutative, associative, distributive, all three
Math properties—it's what you need...
It's what you need...it's what you need.

Associative property means when you compute
Several numbers, you can put them into groups.
For example: 2 + 5 + 3,
Add parentheses, so you can see.
Place 2 + 5 in parentheses, and then
Add 3 at the end, now let's begin.
2 + 5 = 7, and when
We add 3 + 7, the sum is 10.
If we bracket the two numbers at the end,
The answer's still 10—if we do it again
With multiplication, it works the same way,
But division and subtraction, they're not, they can't hang.

Commutative property: in any order, you can add and multiply.
Associative: you can group the terms any way you like.
And now the last one,
When you multiply a sum, you got to break it up
That's distributive property, it's got to be
Commutative, associative, distributive, all three
Math properties—it's what you need...
It's what you need...it's what you need.

This property is distributive,
And when you can use it is limited.
When you multiply a sum,
You can multiply each addend, and then add the products up.
Take the problem 2 x 5 + 3,
And the 5 + 3 is in parentheses
You can multiply the 2 times the 5,
And then multiply the 2 by the 3, alright?
You get 10 + 6, and that's 16,
We distributed the 2, yeah, see what I mean?
Here's a nice hint to make it easy to remember:
To distribute means to give it to each member.
Just remember, multiply each number in the bracket
By the number outside, add 'em up, then, you have it.
A x (B + C)
Equals A x B + A x C, see.