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### Course: 5th grade (Eureka Math/EngageNY) > Unit 1

Lesson 4: Topic D: Adding and subtracting decimals- Estimating decimal addition
- Estimating with adding decimals
- Adding decimals
- Introduction to adding decimals: tenths
- Add decimals visually
- Adding decimals < 1 (tenths)
- Adding decimals with ones and tenths parts
- Adding decimals and whole numbers (tenths)
- Adding decimals (tenths)
- Adding decimals with hundredths
- Adding decimals < 1 (hundredths)
- Adding decimals with ones, tenths and hundredths
- Adding decimals and whole numbers (hundredths)
- Adding decimals (hundredths)
- Adding decimals: 9.087+15.31
- Adding decimals: 0.822+5.65
- Adding three decimals
- Estimating decimal subtraction
- Estimating with subtracting decimals
- Strategies for subtracting basic decimals
- Subtract decimals visually
- Subtract decimals < 1 (tenths)
- Subtracting decimals
- Strategies for subtracting more complex decimals with tenths
- Subtracting decimals (tenths)
- Subtracting decimals and whole numbers (tenths)
- More advanced subtraction strategies with hundredths
- Subtract decimals < 1 (hundredths)
- Subtraction strategies with hundredths
- Subtract decimals (hundredths)
- Subtract decimals and whole numbers (hundredths)
- Subtracting decimals: 10.1-3.93
- Subtracting decimals: 9.57-8.09

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# Introduction to adding decimals: tenths

This video introduces the concept of adding decimals, specifically tenths. It explains how to visualize and calculate the addition of tenths using both numerical and visual methods, reinforcing the understanding of decimal addition.

## Want to join the conversation?

- Just remember kids if somebody walks up to you on the street and they ask you a math problem answer it. :)(83 votes)
- Uhm well i guess your right(7 votes)

- 1.2, 12/10 or call it 1 2/10. Are these still same?(7 votes)
- Yes, 1.2, 12/10, and 1 2/10 are all equal.

Have a blessed, wonderful day!(13 votes)

- wait when you add 9 and the 3 won't the 12 be in the hundredths place rather than the ones place?(0 votes)
- for the tenths place, there is only 1 digit after the dot, so if it is 12, the 2 would remain in the tenths place and the 1 would be carry over to the ones place.(22 votes)

- how do you know the answer? like for 0.8 and 0.1(2 votes)
- The places change the bigger the number which gets confusing anybody know a trick?(2 votes)
- Adding any decimals is almost like adding whole numbers.

Make sure to line up the decimal points first! If there are any missing digits, then write 0’s for them.

Then add like you would with whole numbers. In the answer, put the decimal point directly underneath the lined-up decimal points.

Have a blessed, wonderful day!(2 votes)

- who does not know what 0.8 and 0.1 is tho(2 votes)
- thank you for helping me👍(2 votes)
- At the beginning of this video I already knew what the answer was but I still listened to Sal tell us doing the problem on his own. I personally think that decimals are kinda easy now. What did all of you guys think about this video though? I personally enjoyed every part of it.(2 votes)
- boi i dont get it m a bannana oof(0 votes)
- I’m going to try to show you how to do it.

You add it like:

0.1

+0.8

———

0.9

It’s like normal adding, but you bring down the decimal point.(5 votes)

- Not really a question, but when you're really quick at math it gets kind of boring when you have to wait for them to move on. But I didn't say I never liked watching!(2 votes)

## Video transcript

- [Instructor] In this video
we're going to introduce ourselves to the idea of adding decimals. And I encourage you as we
work through these problems to keep pausing the video and seeing if you can
think about it on your own before we work through it together. Now we're going to build up
slowly, and in future videos we're gonna find out
faster ways of doing it. But the way we're learning it
in this video in the next view is to really make sure we
understand what is happening. So let's say we wanted to add 0.1 to 0.8. Or you could say we're
adding 1/10 to 8/10. Pause this video and see
if you can figure that out. Well there's a couple of
ways to think about it. You could say, hey look 0.1, that is 1/10, and 0.8, that is 8/10. And so if I have one of something and I add eight more of that something, so I have 1/10, and I'm
gonna add eight more tenths, well I'm gonna end up with
nine of that something, in this case we're talking about tenths. So that is going to be equal to 9/10. That's one way to think about it. Another way, we could
think about it visually. So let's say we take a whole,
and we were to divide it into tenths, which we
have right over here. So if we say this whole square is a whole, we divide it into 10 equal sections. So each of these white bars
you can view as a tenth. So we have 1/10, so let me fill that in. So 1/10, woops that's
not what I wanted to do. We have 1/10 right over there. And to that we want to add 8/10. So one, two, three, four, five, six, seven, eight. And so how many total
tenths do I now have? Well let's just count 'em up. We have this one here. One, two, three, four, five, six, seven, eight, nine. These are really saying the same thing. All of this together, is going to be, let me do that a little neater. All of this together is going to be 9/10. Now in either case, how do we
write 9/10 in decimal form? Well we go to the tenth's place, which is one space on the
right side of the decimal. We say hey we have 9/10. This is the tenth's space right over here. So that's just saying we have 9/10. We have nine of these
tenths right over here. So let's keep building. Let's do another example. So let's say that we, let
me clear all of this out. So let's say that we want to add, do these with different colors. So let's say we want to add, I have trouble because
my pen isn't working. Let's see. Let's say we want to add... My pen is, oh here we go. Let's say we want to
add 3/10, and to that, we want to add 9/10. What is that going to be? Well you could use the same idea. If you say this is 3/10, and this is 9/10, plus 9/10, well if I have three of something and I add nine of them,
well that's going to be 12. Three plus nine is 12. So we could say this is
going to be equal to 12/10. Now this one might be a
little bit counterintuitive. 12/10, what does that mean? Well one way to think about it, this is 10/10, plus 2/10. And what are 10/10? Well if I have 10/10, this
right over here is one whole. So that is going to be one. So we have one and 2/10. So how do we write one and 2/10? Well we could write it
as in the one's place, we just write a one. And then in the tenth's
place, we write our 2/10. So you could say it's equal to 1.2, or you could say it's
equal to one and 2/10, which is the same thing as 12/10. Now if we want to see that visually, let's get our diagram out again. So actually I'm gonna
put two of these here. So one, and then a second one. And we want to add, so
let's start with the 3/10. So let me color these in really fast. Use that light blue color. That is 1/10. This is 2/10. Just coloring 'em in really fast. And this is 3/10. And then to that we're gonna add 9/10. So to that we're gonna add one, two, three. I'm not coloring them in fully. Four, you get the idea. Five, almost there. Six. I need to color faster. Seven. Seven. Eight. Nine. So there you have it. I have added 9/10. You notice I've colored in nine, I've colored in yellow,
nine of the tenths, and before I had three
of the tenths colored in. And when you add 'em all
together, what happens? Well the 3/10 plus the
7/10 right over here, they made a whole. So this right over here is our one. And then we also have
another 2/10 left over. And so this is where,
this is our 0.2, or 2/10. So it's gonna be one
plus 2/10, which is 1.2. So hopefully this gives you a good sense of how we think about adding decimals. And even though in the future we're gonna figure out
faster ways of doing it, or more systematic ways of doing it, this is still the way that
I still do it in my head if someone walks up to me on the street and says hey, add 0.3 to 0.9. That's how I think about it.