Compare with multiplication examples

This here is a screenshot from this exercise on Khan Academy. It says the number 48 is six times as many as eight. Write this comparison as a multiplication equation. So pause this video and see if you can have a go at that.

All right, so it sounds very fancy, this comparison is a multiplication equation, but really they're just asking us to write this as an equation. If we were on Khan Academy, we would type it in here, but I'm just going to do it. This is a screenshot, so I'm just going to do it by pen, by digital pen.

So they're saying the number 48. The number 48, and when they say "is," that's another way of interpreting "is" is to say, "Hey, that's equal to something." Now what is that equal to? That's equal to six times as many as eight. Well, what's another way to write "six times as many as eight?" Well, we could write that as six times eight.

So this right over here, this is that comparison written as a multiplication equation. That's all they're asking for, and so you would type that in right over there.

Let's do another example. Here, we are told or we are asked, what statement represents the equation 7 times 4 is equal to 28? So pause this video and think about which choice would you pick.

So let's see. Choice A says, "28 is 7 more than 4." First of all, that's not true. 28 is not 7 more than 4. But if you were to write this comparison as an equation, this would be that 28 is, so is equal to 7 more than 4, which is 7 plus 4. Not only is that not true, but that's not the original equation, so we rule that out.

Now, 28 is seven times as many as four. Well, this is interesting. 28 is equal to seven times as many as four, and seven times four. Well, the only difference between this and this is just we've swapped the sides on the equality, which is completely okay.

So, 28 is equal to 7 times 4. That's the same equation, really, as 7 times 4 is equal to 28. So I like this choice.

Now let's just look at the other choices. "7 is 4 times as many as 28." That plays with your head a little bit, but let's just write it as an equation. 7 is, so that would be equal to 4 times as many as 28. That would be 4 times 28. This is not true. 4 times 28 is over 100, and so it's not 7. But this is also very different than what we see up here, so we'd rule that out.

"7 is 4 less than 28." Well, this equation would be 7 is, so is equal to 4 less than 28. So 4 less than 28 would be 28 minus 4. Once again, not only is this not true, 28 minus 4 is 24, not 7. But this is not that original equation, so we'd rule that one out as well.

So we like our choice B.