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Visually dividing a whole number by a decimal

This video is all about understanding how to divide whole numbers by decimals. It emphasizes the concept of partitioning whole numbers into equal groups of a certain decimal value, and counting how many of those groups we can make.

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  • piceratops ultimate style avatar for user AlayModi2006
    um.. when sal does it his way it makes sense but isn't the answer always supposed to be less than the thing u r dividing?
    (17 votes)
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  • purple pi purple style avatar for user dbrown8598
    How to multiply whole numbers by fractions?
    (5 votes)
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  • starky sapling style avatar for user jorgeo1010
    - [Instructor] In this video, we're going to see
    if we can compute what three divided by 0.75 is equal to,
    and I'll give you a little bit of a hint
    before I tell you to pause the video.
    So let's imagine three wholes right over here,
    and what if we were to think of these three wholes,
    these three ones, and what if we were to
    think about them in terms of hundredths?
    Well then we could, once we express these as hundredths,
    we could say, well how many groups of 75 hundredths
    (4 votes)
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  • piceratops seedling style avatar for user braxton
    this is really helpful if you just started this.
    (4 votes)
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  • male robot donald style avatar for user AlanB
    Ten form divicion
    (3 votes)
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  • blobby green style avatar for user MatthewC
    Im so braindead,i don't know if its me or im not getting what hes saying
    (1 vote)
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    • blobby green style avatar for user Yep
      Never adopt that type of self-talk as it will only ever hurt you.

      Secondly, 3 ÷ 0.75 is asking how many equal groups of 0.75 out of 3 can we make. 3 = 300 hundredths (300/100) and 0.75 = 75 hundredths (75/100). When thinking of the question like that you can imagine it as being 300 ÷ 75, which is the same thing as how many equal groups of 75 are in 300.
      (3 votes)
  • blobby green style avatar for user Rasheena  Jones
    isnt it supposed to be 0.25?? how is it 4 if were dividing and 4 is greater than 3 and 0.75??
    (2 votes)
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  • blobby green style avatar for user HyunS
    How do you add the fractions if you have different denominators?
    (0 votes)
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  • aqualine ultimate style avatar for user Aidan Molina
    How does this even work? I have been stuck and rewatching this video multiple times.
    (0 votes)
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  • hopper cool style avatar for user Sawyer
    In this video, we're going to see if we can compute what three divided by 0.75 is equal to, and I'll give you a little bit of a hint before I tell you to pause the video. So let's imagine three wholes right over here, and what if we were to think of these three wholes, these three ones, and what if we were to think about them in terms of hundredths? Well then we could, once we express these as hundredths, we could say, well how many groups of 75 hundredths can we divide this into? How many equal groups of 75 hundredths? To help you think about that, here's a little bit of a visualization where three is divided into equal groups of 75 hundredths. So pause this video and use what I have, this little visual here, as a big hint to figure out what three divided by 75/100 is. All right, now let's do it together. So as I said, we started with three ones, or three wholes, however you want to think about it, and you could divide division by 75/100 as saying, well how many equal groups of 75 hundredths can you divide these three wholes into? And so we thought about these three wholes in terms of hundredths, and the way it's been color coded, it actually has already been divided into four equal groups of 75 hundredths. You can count these, so this is 10, 20, 30, 40, 50, 60, 70, and then five hundredths. So this right over here, this is one group of 75 hundredths. Then in green you have another group of 75 hundredths. So you have 10, 20, 30, 40, 50, 60, 70, and then 75, so that right over, let me use a color I can see. This right over here is our second group. This is our first group right over there. Then that's our third group, these are all equal groups of 75 hundredths, and that's our fourth equal group of 75 hundredths in the green again. So how many equal groups of 75 hundredths can you divide three wholes into? Well, clearly it is equal to four.
    (1 vote)
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Video transcript

- [Instructor] In this video, we're going to see if we can compute what three divided by 0.75 is equal to, and I'll give you a little bit of a hint before I tell you to pause the video. So let's imagine three wholes right over here, and what if we were to think of these three wholes, these three ones, and what if we were to think about them in terms of hundredths? Well then we could, once we express these as hundredths, we could say, well how many groups of 75 hundredths can we divide this into? How many equal groups of 75 hundredths? To help you think about that, here's a little bit of a visualization where three is divided into equal groups of 75 hundredths. So pause this video and use what I have, this little visual here, as a big hint to figure out what three divided by 75/100 is. All right, now let's do it together. So as I said, we started with three ones, or three wholes, however you want to think about it, and you could divide division by 75/100 as saying, well how many equal groups of 75 hundredths can you divide these three wholes into? And so we thought about these three wholes in terms of hundredths, and the way it's been color coded, it actually has already been divided into four equal groups of 75 hundredths. You can count these, so this is 10, 20, 30, 40, 50, 60, 70, and then five hundredths. So this right over here, this is one group of 75 hundredths. Then in green you have another group of 75 hundredths. So you have 10, 20, 30, 40, 50, 60, 70, and then 75, so that right over, let me use a color I can see. This right over here is our second group. This is our first group right over there. Then that's our third group, these are all equal groups of 75 hundredths, and that's our fourth equal group of 75 hundredths in the green again. So how many equal groups of 75 hundredths can you divide three wholes into? Well, clearly it is equal to four.