So instead of using the quotient rule, we're just going to rewrite this bottom expression as a product, and then we can use the product rule.

And then of course it's just the product for when you don't have to memorize that silly thing called the quotient rule.

So you could use the quotient rule if you took the time to memorize it, which I've never taught you because it's really just the product rule.

Actually in your calculus textbooks there's something called the quotient rule, which I think is mildly lame, because the quotient rule is just the product rule where you have a negative exponent and they make it another rule, and they clutter your brain.

Division

21mn is clearly divisble by 7mn and it's clearly divisible by 3mn, so it's got the mn there it's divisible by 3 it's divisible by 7.

3 is divisible by 3, 24 is divisible by 3 and 48 is divisible by 3.

Quotient

Modulus

12 is divisible by 3, so 3 will go into it.

So it's divisible by three natural numbers

They're both divisible by 5, they're both divisible by r.

Product

This is only divisible by r, that's only divisible by s, that's divisible by neither.

If we're divisible by n 4 we are divisible by n

57, It's not divisible by 2, but it is divisible by 3.

Multiplication

Mod

Modulo

Divide.

long division.

And so in general you multiply or devide the significant figures in your product or the divisor, divident, the quotient , the quotient!

20 is definitely divisible by 4, so 120 will be divisible by 4.

Well immediately, both factors are divisible by 3 and both terms are divisible by y.

What's two times ten?

My product is negative.

We're divisible by 7m 2n, definitely divisible by 3mn 4.

5 is not divisible by 2, so 2 will not go into 75.

You just add up the digits and if that is divisible by 3, then the number's divisible by 3.

200 is divisible by 8, and then 80 is divisible by 8 as well.

Initial cost Estimated Savings

I'm going to be dividing by sixty.

And you divide by n.

This is going to be I don't want to make any careless mistakes, so let me just divide it again.

So how many times?

So as long as we're divisible by m 2 then we're also going to be divisible by m

It has to be divisible by n, and it also has to be divisible by n 4.

7 is not divisible by 3, so 25 will not be divisible by 3.

When you look at them, well these first two are divisible by 4, these last 2 are divisible by 3, but not all of them are divisible any one number.

We could write 54 as being 6 times 9, and 81 is the same thing as 9 times 9.

When you take the product of two matrices you just get another matrix the product a b times x.

What's 14 times 14?

What's 4 times 49?

What's ten times two?

What's ten times three?