And so this is going to beĮqual to, in the numerator, we have three times 87. Same thing as three wholes, times 87 hundredths, 87 hundredths. (mumbles) These are all equivalent, but hopefully one of these, or more than one of these register with you of what's really going on. Is going to be the same thing as three times at 87 hundredths. Now another way that youĬould have approached this, and we saw this in the last example, is you could say hey, this Then the 200 hundredths, and you get 2.61. There, but you write out 261, one, the 60 hundredths, and Another way to think about it is, you go to the hundredths place, and then you start from If you have 200 hundredths, that's the same thing as two wholes. Is what the six represents, 60 hundredths is the And so very clearly, 100th here would be one in the hundredths place. This is the ones place, this is the tenths place, So how do we express this as a decimal? Well, there's a couple of Something is going to be 261 of that something, and thisĬase something is hundredths. The same thing as 206 10s, but it's gonna be 261. Plus those other two 10s, so we get 26 10s, which is Times 87 of something, what am I going to be left with? Well, this is going to be equal to some number of hundredths, and to figure out that, we just figure out what's three times 87? So 87 times three, seven times three is 21, we regroup that two, becomes two 10s. The same thing as three times, and we can re-express this as, this is the same thing as 87 hundredths. So let's say that we want to figure out, we want to figure out what is three times 0.87. Let's do another example, that's a little bit more involved. So five ones, and six tenths, which is exactly what we have here, five ones, and six tenths. Right tenths, six tenths, and 50 tenths is the Same thing as 50 tenths, 50 tenths, plus six tenths, plus the six tenths, get And one way to think about 56 tenths, 56 tenths is the same thing as 50 tenths, 50, let me color code that differently. So you're going to be, this is going to be equal to 56 tenths, 56 tenths. Times seven of something, what is that going to be equal to? Well, eight times seven, that's 56. Same thing as eight times, and once again, I'm just gonna write this in a different way, eight times seven, eight times seven tenths. You could approach this is you could view this as the And similarly, if you somehow got a value or product of like one, you're like, well, that's a lot less thanĮight, I should get something that is seven tenths of eight. If for some reason we got, the we you computed somethingĪnd you were to get 60, you say, well, that doesn't make sense, I should get a value less than eight. So we would expect this product, if we're multiplying eight times something a little bit less than one, we would expect the product to be a little bit less than eight. Say, okay, seven tenths isĪ little bit less than one. Little bit of a reality check, whenever you get an answer when And so this is the same thingĪs, this is five wholes, so five and six tenths,įive and six tenths, which we can write as fiveĪnd six tenths, or 5.6. Now 56 tenths can also be written as, this is the same thingĪs 50, plus six over 10, which is the same thing asĥ0 over 10, plus six over 10. And if we multiply ourĭenominators, we get tenths. Is going to be equal to, if we multiply our numerator, Times seven over 10, times seven tenths, which To multiply fractions, you could view this as being equal to, eight is the same thing asĮight over one or eight wholes, I guess you could say, So we can re-express this as seven tenths, seven over 10 is the same thing as 0.7. We could view this as eight times, and we could write seven All right, now there's several ways that we could approach whatĮight times seven tenths is. Pause this video and see if you can figure this out on your own. So let's say that we wanted to figure out what eight times seven tenths is. In this video, we're going to further build our intuition for multiplying decimals.
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