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
The U.S. Faces a HUGE Debt Crisis... #shorts
The US is currently facing a monster debt crisis, but it all boils down to one very fixable issue. The U.S. debt currently sits at 32.3 trillion dollars, but the problem is that’s been rising at an ever-increasing rate. The fundamental reason for this is …
Armie Hammer Ascends From an Underground Cave | Running Wild With Bear Grylls
[music playing] ARMIE HAMMER: Whew! Yeah. Good to go. BEAR GRYLLS: OK. Our gear weighs nearly 75 pounds, and it’s too heavy to carry up this ladder. So we’re going to cache it on the sea floor like Navy SEALs do when they hide their gear until it can be…
SUPER RARE $34,000 Mont Blanc Will DOUBLE in Value | Kevin O'Leary |
[Music] From Germany, just send them straight out the door. Okay, thanks a lot, let’s go upstairs. Welcome to Miami. [Music] So, just coming from—well, we have the head of—we have the head of VP of retail, and I think one of the marketing people are brin…
Safari Live - Day 230 | National Geographic
Which is live coverage of an African safari and may include animal kills and carcasses. Viewer discretion is advised. This is why the inclement ride is such a firm favorite. [Music] He just looks ready for a fight; this is still her territory. Good afte…
12 STOIC PRINCIPLES FOR LIFE, LISTEN TO THIS THEY WILL PRIORITIZE YOU | STOICISM INSIGHTS
Have you ever wondered why, in a world overflowing with advice on how to live your best life, we still find ourselves grappling with feelings of inadequacy, anxiety, and unfulfillment? It’s like we’re all on this relentless quest for happiness, yet it oft…
How to Get Everything Done in a Day
Do you have something you need to be doing right now but are avoiding like the Plague? Maybe you have a lot of stuff you need to do but you just keep putting it off, and you distract yourself from the discomfort of even thinking about it? Have you ever th…