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

Adding decimals with ones and tenths parts


3m read
·Nov 11, 2024

Last video, we got a little bit of practice adding decimals that involved tths. Now let's do slightly more complicated examples.

So let's say we want to add four to 5.7, or we could read the second number as 5 and 7/10. Pause this video and see if you can do this.

So the way that my brain tries to tackle this is I try to separate the whole numbers from the tenths. You can view this as being the same thing as 4 + 5 + 7/10. All I did here is I broke up the 5 and 7/10 into 5 + 7/10. The reason why my brain likes to do that is because I can then say, "Okay, 4 + 5, that's just going to be equal to 9."

Then I just have to add the 7/10, so it's going to be 9 and 7/10. I can rewrite this as going to be equal to 9 and 7/10. And 9 and 7/10 I could write as 9.7. Even though in future videos we're going to learn other ways of adding decimals, especially larger, more complicated decimals, this is still how my brain adds 4 + 5.7, especially if I need to do it in my head.

I say, "Okay, 4 + 5 is nine, and then I have that 7/10," so it's going to be 9 and 7/10 or 9.7.

Now let's do another example where both numbers involve a decimal. So let's say I want to add 6.3 to 7.4. So, 6.3 + 7.4. Once again, pause this video and try to work through it on your own.

Well, my brain does it the same way. I break up the whole numbers and the decimals. And once again, there are many different ways of adding decimals, but this is just one way that seems to work, especially for decimals like this.

So we could view this as 6 and 3/10. I'm breaking up the 6.3, the 6 and 3/10 into 6 + 3/10, plus 7 and 4/10, which is 7 + 4/10. Then, you can view this as 6 + 7, plus 3/10, plus 4/10.

So if you add the ones here, you have 6 ones and 7 ones. That's going to be equal to 13. And then 3/10 and 4/10, well if you have three of something and then you add four of that, that's going to be 7/10.

We would write 7/10 as 0.7, 7 in the tenth place. And then what's 13 + 7/10? Well, that is going to be 13. This is going to be equal to 13.7.

13.7, and we are done. Let me do one more example that will get a little bit more involved. So let me delete all of these.

So let's say I wanted to add 6.3 to, and I'm going to add that to 2.9. Pause the video and see if you can figure this out.

Well, let's do the same thing. This is going to be 6 and 3/10, so 6 + 3/10, plus 2 + 9/10. Or you could view this as 6 + 2, so I'll put all my ones together: 6 + 2, and then I'll put my tenths together: plus 3/10 + 9/10.

And so the 6 + 2 is pretty straightforward. That is going to be equal to 8. And now what's 3/10 + 9/10? This is going to get a little bit interesting.

3/10 + 9/10, and I could write it out. I could say this is 3/10, this is 9/10. Well, 3/10 + 9/10 is equal to 12/10. This is going to be 12/10. But how do we write 12/10 as a number?

Well, 12/10 is the same thing as 10/10 plus 2/10. The reason why I broke it up this way is that 10/10 is one whole. So this is going to be equal to one.

So when you add these two together, it's 12/10, which is the same thing as 1 and 2/10. So 1 + 2/10. Or, well, let me just write it that way.

So this I can rewrite as plus 1 plus 2/10. And then I think you see where this is going. I could add the 8 and the 1, and I get 9 and 2/10. So 9 and 2/10, so it's going to be 9.2.

Now, the reason why this one was a little bit more interesting is I added the ones. I got 6 + 2 is 8, but then when I added the tenths, I got something that was more than a whole. I got 12/10, which is 1 and 2/10.

And so I added one more whole to the 8 to get 9, and then I had those 2/10 left over. This is really good to understand because in the future, when you're adding decimals, you'll be doing stuff like carrying from one place to another.

This is essentially what we did when we added the 3/10 plus the 9/10. We got 12/10, and so we added an extra whole, and then we had the leftover 2/10. Hopefully, that makes some sense.

More Articles

View All
The Real Product Market Fit by Michael Seibel
The real product market fit. Yes, this was a good one. Not that the other ones aren’t great. I often talk to founders who believe they’ve found product market fit when they haven’t. This is a huge problem because they start hiring people, increasing burn,…
Chris Hemsworth sends his best mates in search of the secret elixir of Bali | Azza & Zoc Do Earth
[cheering] - Hello. Chris Hemsworth here. I’ve decided to create a new series about unlocking health and wellness secrets around the world. Here’s the catch. [announcer] Chris Hemsworth! [Chris] I’m too busy to travel to all these countries and get the go…
15 Little Habits To Have a Better Day
You know, Alexir, the simplest habits are the most effective. They’re preached over and over again for a reason. It’s because those habits help you live a peaceful, productive, and satisfying life. Eat your greens and your protein, floss daily, put on sun…
Government Shutdown Imminent, Rates Spike, Stocks Collapse
Back here at home, time is running out to avoid a government shutdown. Billions of Americans could go without paychecks, including members of the military. The country is headed for a shutdown, and everyone should prepare as such. Big guys, it’s Graham h…
Hunting for Blood Antiquities | Explorer
I want to witness a sale of these looted smuggled antiquities because that’s the only way I can understand where the stuff’s coming from, how it’s getting out, what the kind of market is for this stuff. If I told them I was a journalist, they’d probably t…
Ridiculously Easy DIY Light Strips! (no soldering)
I want to change my bathroom from this to this. The problem is I want it to not cost a lot, be high quality, and be easy. I mean, is that even possible? Well, after trying out many different options and almost failing multiple times, I finally found a gre…