yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Visualizing division with arrays


2m read
·Nov 11, 2024

  • [Instructor] We have three different pictures here, and my question to get us warmed up is which of these could represent 20 divided by four? Pause this video and see if you can figure that out.

All right, so let's go through each of these. And, actually, let's think about what each of them could represent. So how many total circles do we have in this picture right over here? Let's see, we have one, two, three, four, and then we have four groups of four. So four, eight, 12, 16. So this looks like 16 circles.

16 circles divided into, we could do it as divided into groups of four, or we could actually also view it as divided into four equal groups, because both of those are true. And we see that that is going to be equal to four.

So this one over here, it's really representing 16 divided by four, not 20 divided by four. Now, what about this one? Let's see, here, it looks like we have one, two, three, four, five groups of one, two, three, four, five. So this looks like 25 circles divided into groups of five, or divided into five equals groups, which is, of course, equal to five.

So this is 25 divided by five, not 20 divided by four. Now, but what about this one? So let's see, we have one, two, three, four, five, and we have, one, two, three, four groups of five. So five, 10, 15, 20.

So we definitely have 20 circles there. And we have divided it into four equal groups. We have divided it into four equal groups, and so that's exactly what we're talking about, or what we started talking about. This is 20 divided by four.

And you can see, when you take 20 and divide it into four equal groups, then you get one, two, three, four, five circles per group. And we're done.

More Articles

View All
TIL: Why Mars's Ocean Disappeared | Today I Learned
This is what Mars looks like today, and this is what it may have looked like 3 to 3.5 billion years ago. Notice the difference? Well, the planet was warmer and wetter, and it even had an ocean that covered the entire Northern Hemisphere. So where did that…
The procrastination cure you don't want to hear
I think one of the most common problems that people have is not that they don’t know what to do to dramatically move their life forward in a substantial way. Like, you know exactly what you need to do right now. There’s probably something that you’ve been…
How to Cut a Sandwich Perfectly – With Science #shorts #kurzgesagt
Cutting sandwiches with much science, with a single straight cut, can you half a three-ingredient sandwich with all components perfectly halved? There’s actually real science about this called the ham sandwich theorem. The answer might seem obvious when …
15 Things You Take For Granted
You know, compared to 200 years ago, we live like kings and queens. It’s important to refresh your perspective every now and then. Here are 15 things you take for granted. Welcome to LAX. First up, good health. You know, not very long ago, in the grand s…
Antietam part 2
So, in the last video, Sal and I were talking about the Civil War Battle of Antietam. Antietam took place in Maryland on September 17th, 1862. Just to briefly recap, Antietam was the single bloodiest day in American history; over 4,000 people died. Antiet…
Reflections: graph to algebraic rule | Transformational geometry | Grade 8 (TX) | Khan Academy
We’re told that quadrilateral A’B’C’D’ is the image of quadrilateral ABCD after reflection. So we can see ABCD here and A’B’C’D’ right over here. What we want to do is figure out a rule for this transformation. So pause this video and have a go at that by…