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Double Digit Addition With Regrouping
Edu-Primes
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1 year ago
Category
📚
Learning
Transcript
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00:00
Hi kids, today we are going to use our addition skills to learn more about place value.
00:11
We will use place value to help us solve our story problems.
00:14
Let's take a look over here and see what problems we have to solve.
00:20
There are two classes in the second grade.
00:22
Mrs. Jenkins' class has 32 students and Mr. Smith's class has 27 students.
00:27
We need to find out how many students are in the second grade.
00:31
What do I need to do to find out how many students there are in all?
00:36
We need to add these numbers together.
00:39
So we are going to add 32 plus 27.
00:43
We have double digit numbers here and a really cool way to add these together is to use our
00:47
knowledge of place value.
00:50
Let's set up these numbers differently so we can see the place value for each number.
00:54
Now to make sure we have the numbers in the correct spot let's look at each number.
01:00
If we look at the 32 we can see that the 3 is in the tens place and the 2 is in the ones
01:04
place.
01:05
Looking at the 27 we can see that the 2 is in the tens place and the 7 is in the ones
01:10
place.
01:11
So do we have them lined up correctly?
01:14
Great!
01:16
We do have them lined up correctly and now we can use some base 10 blocks to help us
01:20
add them together.
01:22
So to get 32 we need 10, 20, 30.
01:27
Now I have the 3 in the tens place but I still need the blocks for the ones place so I need
01:32
2 of the ones blocks.
01:35
Now on to the 27.
01:37
We need to get 27 blocks and we need to start in the tens place.
01:41
So here is 10, 20.
01:44
Now in the ones place I need 7 of the ones blocks so I get 1, 2, 3, 4, 5, 6, 7.
01:51
We can now add these two groups together but to do this we need to be careful and stay
01:55
within our place values.
01:57
This means that we should not add the tens blocks with the ones blocks.
02:01
So we are going to join all our tens place together and then we will join all of our
02:05
ones place together.
02:09
Now that they are joined together or added together we can now start counting them.
02:13
Let's count the ones first.
02:16
We have 1, 2, 3, 4, 5, 6, 7, 8, 9.
02:21
Now let's count the tens we have 1, 2, 3, 4, 5.
02:27
So as we can see here we have 9 ones and 5 tens.
02:32
If you look at the math problem over here you will see that 2 plus 7 is 9 and 3 plus
02:37
2 is 5.
02:38
Isn't that really cool?
02:40
Now let's look at a different problem.
02:44
In this problem we have 47 plus 29.
02:48
Let's represent these numbers using our base 10 blocks.
02:51
To get 47 how many tens blocks do we need?
02:55
How many ones blocks do we need?
02:58
If you said 4 tens and 7 ones you are correct.
03:01
We need 4 tens blocks and 7 ones blocks.
03:06
Now to represent the number 29.
03:09
How many tens blocks do we need?
03:11
How many ones blocks?
03:14
We need 2 tens blocks and 9 ones blocks.
03:18
Now we do the same as before and put all of our tens together and all of our ones together.
03:25
Let's start by adding our ones together.
03:27
We have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
03:33
Now we need to stop here and remember what we learned about regrouping.
03:36
We now have 10 ones which is the same as one of our 10 blocks.
03:42
We need to trade these in for a tens block.
03:46
Remember we can do this because 10 ones are the same as one of these 10 blocks.
03:52
Let's start over and count our ones again.
03:54
We have 1, 2, 3, 4, 5, 6.
03:58
So we put the number 6 down here under the ones.
04:02
Now we can count our tens.
04:03
We have 1, 2, 3, 4, 5, 6, 7 tens.
04:08
We can put the number 7 under the tens place.
04:11
47 plus 29 should equal 76.
04:15
We can double check our work by looking at it the way we did before.
04:20
If we look at the problem we see that 7 plus 9 is 6.
04:24
Wait is that correct?
04:27
No 7 plus 9 is 16 but do you remember what we had to do when we counted out the 10 ones?
04:35
We used our regrouping skills and traded the 10 ones for one of the blocks of 10.
04:40
So we need to look at our tens spot and put a 1 right here.
04:45
Because we had to trade the ones for one 10.
04:48
So if we add the tens column we get 1 plus 4 plus 2.
04:53
What does that equal?
04:56
It equals 7.
04:57
So 47 plus 29 equals 76.
05:02
Great job!
05:03
You guys are awesome!
05:05
Remember that you will get better at this when you practice.
05:07
So keep on practicing, keep learning and we will see you next time.
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