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### Course: 2nd grade > Unit 3

Lesson 2: Strategies for adding within 100- Breaking apart 2-digit addition problems
- Break apart 2-digit addition problems
- Adding 53+17 by making a group of 10
- Adding by making a group of 10
- Add 2-digit numbers by making tens
- Strategies for adding 2-digit numbers
- Select strategies for adding within 100

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# Strategies for adding 2-digit numbers

Sal goes through multiple strategies for adding 2-digit numbers.

## Want to join the conversation?

- Question:

58+15 is the same as 60+ ?

We can move 2 from 15 to 58

58+15

= 58+(2+13)

=(58+2)+13

=60+13

Logically I understand why we are moving 2 from 15 to 58 but in practice I get confused

somehow, are we breaking 15 because we already know 58+15 = > 60 < + something ?

when will I know when to break the first or second number ? I must be either thinking too little or

too much but this has been bothering me a lot. Thanks.(4 votes)- Moving the 2 is just a strategy, you can just add (8+5)'s answer and (50+10)'s answer together which gets you the answer. What the video is helping you with, is understanding and making it to a tens number for it to be easier to solve!(5 votes)

- I’m gonna do by making tens(1 vote)
- I’m gona do a number line and much more(1 vote)
- Hou do I a number line(1 vote)
- Simply draw a line using a ruler, add some indents and then numbers to create a number line. If you want to try it with bigger numbers, the number lines would be very precise and would use small increments.

Hope this helps!(1 vote)

- how do I add two digit numbers.(0 votes)
- You can add two digit number in many different ways. You can use a calculator, you can use mental math, you can also look for more strategies on Khan Academy.

To give you a straight and direct answer, it is mostly a process, you can add two digit numbers easily by putting them in a vertical format easier. Let us try this with the two numbers '24' and 72'

We can first put these into our expression`24`

+ 72

————

Now, what we can do here is add the ones place and the tens place first independently.

So, 4 + 2 is 6 and 7 + 2 = 9. What we can do now is take these values and put them below the numbers we added`24`

+ 72

————

**96**

Now, we have added the two-digit numbers '24' and '72' and have got the answer of**96**. If you want to try this with any other numbers, just input them into the expression. It does not matter if you have two numbers, three, or five, it works for all of them. If the numbers, you add also equate to ≤10 (bigger or equal to ten) then you can just carry the tens digit and add it to the next row and keep the ones digit.

Hope this helps!(1 vote)

## Video transcript

- So let's do a bunch of examples from the Khan Academy Exercises to get comfortable with different ways of adding numbers. So this says, select any strategy that can be used to add 78 plus 9. Select all that apply. So this first choice is 77 plus 10. Well, does that make sense? So instead of 78 they wrote a number one less which is 77, and instead of nine they wrote a number which is one more, that's 10. So that makes sense. If you take away one from 78 but add that one to nine, and you're going to get the same sum. It's still going to be the same thing as 78 plus nine. So this is legitimate, this is okay right over here. And this actually might be a good thing to do because this is easier to compute because you now are adding 77 plus a nice, round 10 here. So you're just going to increase your 10s by one, so this is going to be 87. A little bit easier to compute than this, right over here. Now what do they do here? Add seven and eight. So why would I add seven 10s plus eight ones? They're treating the seven like as if it's seven ones, so this doesn't make sense. So I would only choose this first choice. Let's do a few more examples. Select any strategy that can be used to add 35 plus 15. Select all that apply. So here they say add 35 plus five then add 10, so they've broken up the fifteen into five and 10 which makes sense, 15 is five plus 10. And this is a decent strategy because this gets us to 40, which we can do in our head, and then we add 10, that gets us to 50. So that one definitely works out. Now what are they doing over here? 30 plus 20. So instead of writing 35 they wrote 30, so this is five less, and then they increased the second number 15 by five. So you take away five from 35, you get 30. You add that five to 15, you get 20. Yeah, that makes sense too and this is also a good strategy because 30 plus 20, that's three 10s plus two 10s, that's going to be five 10s, or 50. Very easy to compute, and we got that by taking a five from the 35 and giving it to the 15. So that makes a lot of sense. Let's do one more. Select any strategy that can be used to add 41 to 52. So, select all that apply. Add 40 plus 52 then add one. So let's see, 41 plus 52, yeah so 40, we've taken the one out of the 41, so we're going to have to deal with it later. 52 hasn't changed, so yeah, 41 plus 52 is the same thing as 40 plus 52, plus one. We're just adding this one later, and the reason why that might be easier is you could just think in terms of the 10's place first, 40 plus 52 is 92, then you add one, is 93. Now let's think about this one. 43 plus 50. See, they added two to 41 and they took away two from 50. Yeah, that makes sense. You added two here and you took away two here, so that's going to give us the same value. It's still going to get us to 93 and this is useful because it makes the, it turns the 52 into a nice, round number of 50 by taking two away from it and giving it to the 41, turning it into 43.