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 Eighth Amendment | The National Constitution Center | US government and civics | Khan Academy
Hi, this is Kim from Khan Academy. Today, I’m learning about the Eighth Amendment to the U.S. Constitution, which prohibits the government from imposing excessive fines and bail or inflicting cruel and unusual punishment on individuals accused or convicte…
The Internal Political Conflict
Um, what are you paying attention to? What is concerning to you as it relates to the conflict internally? Um, now, and very classically, um, there’s the emergence of populism on both sides. Populism on the right, populism on the left. Populism means, um,…
Surviving a Water Crisis in Detroit | Parched
We wash dishes. This is our dish thing. Is that this container work? It out our clothes. We have washing clothes. Survivor mode, you come to use the bathroom, will use it. We have a bucket going to get full. Take our school per scoop out. Whenever we have…
I spent 24 hours with my AI girlfriend
In 2014, Spike Jonze released Her, a film about a man falling in love with his AI companion. The main character, Theodore Twombly, lives a lonely life after separating from his wife. One day, he purchases a software upgrade with a virtual assistant built …
Hydrodynamic Levitation!
Check this out! Hahaha, isn’t that awesome? That is hydrodynamic levitation. Check it out! This styrofoam ball is levitating on this stream of water, and it’s doing so in a very stable way. The set up is so stable you can play Frisbee through it, which is…
SpaceX-PLOSIONS: Why It Matters - Smarter Every Day 138
Hey, it’s me Destin. Welcome back to Smarter Every Day. Depending on where you get your media, you’re probably aware that we just failed for the third time in eight months to get cargo vehicles up to the International Space Station, which means that cargo…