This is multiplying by 10, this is multiplying it by 100.

And you say, look, I'm not multiplying by ten. I'm not multiplying by a hundred.

We're multiplying it by itself.

That's just multiplying it by 1.

We're essentially multiplying it by 100.

So we're essentially multiplying by 4.

Why am I multiplying by three?

So this is multiplying by 2.

Well, it's multiplying by your inverse.

We're multiplying it by 10, twice.

Or you're multiplying it by 100.

We're essentially just multiplying by 1.

It's generated by repeatedly multiplying by the number 3.

We're multiplying both sides by a positive.

We're multiplying by the scalar of x1.

That's just like multiplying by one or dividing by one.

So we can do that by multiplying it by 10.

I'm just multiplying every term by every term.

And we're multiplying it by the top number.

We're multiplying it by 100 in the denominator.

So I'm going to be multiplying by 1,000.

What's the analogy to multiplying by your inverse?

We're multiplying it by the transformation matrix S3.

So we're multiplying by 10 8 over here.

But multiplying something by ninety is just the same thing as multiplying something by nine and then adding a zero at the end.

Dividing by 0.5 is the same thing as multiplying by 2.

We are multiplying by one over a, or dividing by a.

And so we're multiplying the 0.25 by 10 twice.

That's the same thing as multiplying by 3 2.

Which is the same thing as multiplying by 0.5.

Once again, I'm just multiplying the number by 1.

And that's analogous to multiplying it by one hundred.

So I got 20 by multiplying 5 times 4.

And you can verify it by multiplying it out.

And with cross multiplying, you're actually doing 2 steps.

Multiplying by 1 10 is the same thing as dividing by 10.

We're just multiplying everything by 4, that's what we're doing.

That's the same thing as multiplying by minutes per gallon.

We're going to be multiplying 12 by a positive number.

That was the whole point of multiplying it by this.

That's the same thing as multiplying by 12 over 5.

a coefficient is only one number by multiplying the variable

Dividing by something is the same thing as multiplying by its reciprocal, and you can do the same thing with units.

So if I'm multiplying something by 0.15 and then I divided by 0.15, I'll just be left with an x here.

Divide by 1 4 is the same thing as multiplying by 4 1.