- KHAN ACADEMY MULTIPLYING DECIMALS USING AREA MODELS CODE
- KHAN ACADEMY MULTIPLYING DECIMALS USING AREA MODELS PLUS
The 4 in the tens place because it's a 40. With the 7 in the ones place and you do 7 times 6 is 42. Hey, Sal, why did we go through all of this business? I've seen before Did I add that up right? Let's see, this will be 11.
KHAN ACADEMY MULTIPLYING DECIMALS USING AREA MODELS PLUS
Tens is 9 tens, plus 4 tens, is 13 tens, which is the same Let's see, in the ones place, you get a 2. Going to be 200 plus 120 plus 70 plus 42. So what's the area of thisĮntire thing going to be? Well, it's going to be theĢ00 plus the 120 plus- let me do it this way- it's So it's going to be 7 timesĦ or 42 square units of area. And then finally, what's theĪrea of this little section right over here? It's 7 high and it's 6 wide. This purple, and I'll thrown some blue in there, too. Section right over here? Well, it's 7 high Now what's 20 times 6? Well 2 times 6 is 12, In there from the 20 to make it clear that this Not the color I wanted to use- let me use In your head 20 times 10 is just going to be. You could think of as 2 timesġ, and you have two 0's there. So we could figure out theĪreas of each of these sections, and then the area ofīe this product, is going to be the area of all Up by parts, because it'll be easier to compute, and weĬan see what part of the area those differentĬan think about what 10- so let me separate Is going to be 16 times 27, the area of thisĮntire rectangle. Right over here- and then the height of my rectangle, The product 16 times 27, what gives you the area ofĪ 16 by 27 rectangle. Point right over here, this line right over
The 2 in the 10s place is representing 20. Which I want to do in that green color, the sixth, I've gone 10 slashes, or I'm representing 10
What's going on in the multiplication process. So this is going to be equal to 1.Multiply 16 times 27. Hundredths is the same thing as six hundredths. Red, and fifty hundredths is the same thing as five tenths, and of course six The same thing as a whole and I'll circle that in
KHAN ACADEMY MULTIPLYING DECIMALS USING AREA MODELS CODE
Let me color code it, a hundred hundredths is So you could recognize this as hey look, a hundred hundredths, Six there, the five there, and the one there. This is the tenths place, this is the hundredths place. Of ways to think about it if this is the ones place, So if I say 52 hundredths times three that's going to be 156 hundredths.
But either way if I have 52 of something and I multiply that by three, I now have 156 of that something. We either just write it as 15 tens, or that's 100 and five tens. So if we were to just say 52 times three, well this is going to be two times three is equal to six and thenįive tens times three is 15 tens, which is the same thing. This as 52 times three and that will give you the Is that going to be? Well, you could view Hundredths depicted here that is 52 hundredths times three, because we have 52 hundredths here, another 52 hundredths, and
All right, so they're saying 52 hundredths times three, and they have 52 hundredths depicted right over here and then they have itĭepicted three times. So pause this video and see if you canįigure out what this is. It says you many use the models shown to help find the product. Let's do one more example, that gets a little bit more involved. And so how many tenths do we now have? Well we have one, two, three,įour, five, six tenths. So if you have three times two tenths, Well this is one times two tenths, this is two times two tenths, and this is three times two tenths. I have this whole, this square is a whole it's split into ten equal columns here and we have two of them filled in. Now you could also visualize two tenths as parts of a whole. Multiply it times three to get us to six tenths, 0.6. So, we're gonna multiply it times one, then we're gonna multiply it times two, that takes us to four tenths and then we're gonna All right, so let's thinkĪbout where two tenths is this is one tenth, two Like on this number line? And what would this be equal to? So I'll put a little equal sign here. If we wanted to represent three times 0.2 What would that look This as twelve tenths, but twelve tenths is the same thing as one, one and two tenths. Is four times three tenths, and so what is this going to be equal to? Well you can see you go from three tenths, to six tenths, to nine tenths, and then you could view Three times three tenths, and then four times three tenths. We are going one times three tenths, two times three tenths, And so what is this representing? And I'll give you a hint. Have here on this number line that we've now marked off with the tenths and you can see that this
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