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 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. This is done by adding the number of decimal digits in each. It says you many use the models shown to help find the product. When you are done, then you determine the placement of the decimal point. 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. And so now we have to divide byġ,000 to get the right value.Have here on this number line that we've now marked off with the tenths and you can see that this We get the right product, we've got to shift Shift the decimal an aggregate to the right three times. Dividing by 100 andĭividing by 10- this essentially accounts for We re-expressed thisĪs 291 divided by 100. We wrote the expression, we had one, two, three total So if you divide by 1,000,ĭecimal in purple. So you divide by 10, divideīy 100, divide by 1,000. Dividing by 1,000 isĮquivalent to moving the decimal over three With 9,312- and let me throw a decimal there. Times 1 is 3, but notice, it's in the tens We already know how toĬompute this type of thing. To this product, I have to divide by 1,000. Quantities than this one is right over here. Notice, I've justĮssentially rewritten this without the decimals. To move the decimal so that when we divide by 1,000. Now, why is this interesting? Well, I already know how Over here, I could rewrite as dividing by 1,000. Then I divide by 10 again, I'm essentially I'm just reordering this-ĭivided by 100, divided by 10. Rewritten as- this is going to be equal to 291 Instead of writing 3.2, I could write 32 divided by 10. This interesting? Well, I could rewrite 2.91 timesģ.2 as being the same thing as. Never say that word- 3.2 can be rewritten. So it makes sense thatĢ.91 is the same thing as 291 divided by 100. Or if I take 200 and dividedīy 100, I would get 2. It also make sense, if I takeĢ, and I multiply it by 100, I'd get 200. The decimal place two places to the left- one, two. And we know that if youĭivide something by 100, you are going to move Think about it is 2.91 is the same thing asġ0, divided by 100. To pause this video and try it out on your own.
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