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

Division resulting in decimals


2m read
·Nov 10, 2024

So in this video, we're going to think about dividing numbers where the quotient, the result of our division, might result in a decimal.

So let's say we wanted to compute what 5/2 is. In the past, you might have said, "Hey, 2 times 2 is 4, and then you have 1 left over," and so you might have said something like this: "This is 2 with a remainder of 1."

But now we don't want that. We want to say, "Hey, how many times can it go in, and what's left over?" We want to know exactly how many times can 2 go into 5, so we want a decimal answer right over here.

So pause this video and see if you can figure that out.

All right, now let's work through this together. There's many ways that we can approach this. One way is to realize that 5 divided by 2 we can re-express as 5 divided by 2 or as 5 halves. And 5 halves is the same thing as 4 plus 1 over 2, which is the same thing as 4 halves plus 1/2. This is the same thing as 4 halves is... let me do that in a different color.

This part over here is 2, and then you have this 1/2. So it's the same thing as 2 and 1/2. And if we were to express that as a decimal, that's going to be equal to 2.

Now, how many tenths is equal to 1/2? Well, 5 tenths is equal to 1/2, so 5 divided by 2, you could say, is 2.5.

Now another way that you could approach this is you say 5 divided by 2 is the same thing as 50 tenths divided by 2. So let me use a different color here.

Instead of a 5, I could say 5 is the same thing as 50 tenths. 50 tenths divided by divided by 2, and so if I have 50 of something and if I were to divide it by 2, well, that's going to result in 25 of the something.

So this is going to be equal to 25 tenths, and how would we express 25 tenths as a decimal? Well, this is going to be equal to... I could put some place values here. So we definitely have 5 tenths. I'll put that in the tenths place, and then 20 tenths.

20 tenths is the same thing as two ones, and that's exactly what we had up here. Either way, you get 2.5, two ones, and five tenths.

More Articles

View All
Uncle Tom's Cabin part 2
So Becca and I have been talking about Uncle Tom’s Cabin, which is this book from the 1850s that Abraham Lincoln actually said started the Civil War. So how did this book start a war? In this video, we’ll tell you a little bit more about the plot. Um, bu…
This Amazing Dog Helps to Save Endangered Parrots | Short Film Showcase
This is Ajax, and I’ve trained him to help me find kea nests. He’s the only kea dog in the country, and I guess that means the world. People are really shocked when you tell them that there are less kea than there are kiwis. I’ve been training Ajax since …
No Need To Worry About A Recession!
[Music] You’ve got inflation fears out there. That is one of just many worries weighing on the averages. But in times of high volatility, you got to start looking around. Where can investors go for opportunity? Let’s bring in Kevin O’Leary. Kevin, you ar…
Why Do We Kiss?
Hey, Vsauce, Michael here. Attachment of two people’s lips kissing. The average person will spend about 20,160 minutes of his or her life kissing. And the world record for the longest, continuous kiss is 58 hours, 35 minutes, and 58 seconds. But why do we…
My thoughts on money and relationships
What’s up you guys? It’s Graham here. So, a little over a year ago, I posted a video about why I was single and, uh, well, lo and behold, weird timing, but right after I posted the video, I met my girlfriend, Macy. Since then, I’ve largely shut the door o…
I Spent $100,000 On A Stock Picking Monkey
What’s up you guys? It’s Graham here. So if you thought this year cannot get any more unpredictable, it just did because I have a hundred thousand dollars on the line for the sole purpose of testing an odd yet unique experiment to see whether or not a mon…