Let's multiply it by 4.

And after y years, he's going to be four times as old as Jonathan.

But we multiplied it by negative 4.

Double it.

I'll try if I know all the things I used to know.

Get one hundred and eight plus y is equal to four times twenty four.

Four times five is 20.

So if you were to count them all out, you'd have 7 times 4 square centimeters.

3 times 4 times 1 2.

And now we just solve the equation.

It makes them easier to add.

Well, his brother is four they told us that right over there.

Or the 1 space even.

So if you have 8x to the third divided by 2x, that is equal to 4x squared.

8 goes into 360.

Let's do another example.

Let's shift the decimal 4 to the right.

And so that was this year's gold medal.

Well it's gonna be 4 plus 15. And whatever that is times 2.

So they say the perimeters of those two squares are in a ratio of 4 9.

So then the height, that's that, is 4 inches greater than twice its base.

Well, they don't cancel out right now, so I have to multiply this bottom equation by 4, and I think it'll be obvious why I'm doing it.

Peter is four years old, and Jared is twice the age of his brother, Peter.

So 1.2 10 to the fifth is 100,000.

So you literally just go down 1 4 not just 1 4, 1 4 times this scaling factor.

Let's do minus one ninth minus one over four.

In other games there can be more complicated utilities of you win twice as much or four times as much or whatever.

What we do is we try to make both of them equal to the least common multiple of 9 and 4.

I grouped the negative 3 with the 21, or the negative 21, because they're both divisible by 3.

Over the next 40 years, buildings, which use three quarters of the electricity, can triple or quadruple their energy productivity, saving 1.4 trillion dollars, net present value, with a 33 percent internal rate of return or in English, the savings are worth four times what they cost.

Four times three, literally when you and you know, when you actually say the words four times three,

Well, and the exactly is important.

And this guy doesn't have three friends to rub together to make a fourth.

Whatever we add here, we're going to have to multiply it times 4 and add it on that side.

So, Jared is twice the age of his brother, Peter. Peter is four years old.

I could say, four zero times.

Let me go back to the drawing tool.

Jonathan is twenty four years old.

If we only take 1 4th of that number, because that's what 25 is, we get 150. So this number needs to be larger than 150.

But, this is a sign of great progress.

And what else does the problem say?

Well, we multiply nine times four to get thirty six.

But this jumping spider goes a lot farther than that in body lengths, right?

What's very interesting is that in three years, due to the efforts of many different groups, performance went up from 16 to 65 correct.

For four quantities whose average value is less than 10 percent, you have people guessing three, four times that level.