![]() Or the 50 times the eight, the 400, this area, the yellow area, plus the magenta area, plus So the entire rectangle is going to be the eight times the 50, ![]() And then what's eight times six? Well we know that's going This is going to be 400 square units, is going to be the area So what's eight times five tens? Well it's going to be 40 tens, or 400. So separately figure out the areas of these two pieces of the big rectangle and then add them together. And the reason why we broke it up this way is cause we can, maybe in our heads, or without too much work, figure out what eight times 50 is and then separately figure out Then this second section, this has length six. Is going to be 56 times eight, which is what we set to figure out, and to do that, well we could break it up into 50 and six, so this first section right over here, this has length, we could say this has length 50, that has length 50, and So imagine this rectangle right over here, and let's say that this dimension right over here is eight, ![]() And if it helps, weĬan also visualize this looking at an area of a rectangle. Once you get some practice you're going to be able to do things Six is going to be 48, so it's going to be 400 plus 48. Times 50, well that's 400, or 40 tens you could say. I could break that up into 50 and six, and eight When I do it in my head I obviously am not writing things down like this but I think, okay, 56 times eight, This is actually how Iĭo things in my head. So 50 times eight is 400, and then six times eight is, ofĬourse, equal to 48. It, five times eight is 40, but we're not talking about five, we're talking about five tens, so it's going to be 40 tens. Is going to be 40 tens, or it's going to be 400. ![]() Is 40, but we're not just saying five, we're saying five tens, so five tens times eight And 50 times eight? Well, five times eight Is going to be 50 times eight, So it's going to be 50 times eight, plus six times eight. And then you could distribute the eight and you could say, look, this You could say that, look, 56, this is the same thing as 50, five tens, that's 50 plus six ones, so 50 plus six, and all Let's say that we wanted to figure out, let's say that we wanted to figure out, let me give ourselves some space, let's say that we wanted to figure out what 56 times eight is. To break up these numbers and how you could re-associate And the reason why I alsoīroke it up that way, this way, is that theĮxercises on Khan Academy make you do this to make sure that you really are understanding how To do this immediately in your head and that's all good, but it's good to understand And so the whole reason, some of y'all might have just been able So you can view this as a thousand 42's or maybe a little bit more intuitively you could view this as 42 thousands. Seven times six first, you're going to get 42, and you're gong to have 1,000 times 42. Times six first to get, and you know where there is going, so if you multiply the Seven first to get 7,000, or I could do the seven Notice, it's 1,000 times seven times six. The seven times six first we can put the parentheses around that, times seven, times six. So we could rewrite this as 1,000 times, and if we're going to do The seven times six first, before we multiply by the thousand. It sounds very fancy,īut it just says that, hey look, we can multiply Or you could do the seven times six first, and this is, this right over here is the associative Which would be 7,000, and then times six. And so you could view it as, you could do 1,000 times seven first, So this is the same thing asġ,000 times seven times six. So 7,000 is the same thingĪs 1,000 times seven, or seven times 1,000. This will also help us with a little bit of practice of our That we really understand what is going on here. So I'm going to have 42 thousands, three zeros there. Just cut to the chase like that, and another way to thinkĪbout it is like, look, six times seven is 42, and then since we're talking about thousands, we're not just talking about seven, we're talking about seven thousands. To cut to the chase and say, hey look, six times seven thousands is going to be 42 thousands. Thing, or 42 of that thing, and in this case we have 42 thousands. Six, I'm now going to have seven times six of that Have seven of anything, and here I have seven thousands, and I multiply that by So let's say that we wanted to calculate what 7,000 times six is. What I hope to do in this video is getĪ little more practice and intuition when we're
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