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Maths taskLO: To understand how to add
using the column method.
What we have learnt so far!
• How the column method is structured on a page
• How to arrange numbers using our knowledge of place value
• To use our knowledge of commutative law to recognise what numbers we can subtract to get a whole number.
• How to exchange numbers when our minuend digit is smaller than our subtrahend digit.
Addition using the column method is very similar
• We still arrange our numbers in the same way (largest on top and smaller on bottom) as this makes the question easier to solve.
• We still work from right to left!
• We use our knowledge of place value to place our numbers in the correct place
Let’s try one together
Working from right to left, I know that we can solve 2 + 1
which is 3!
Let’s try one together
Working from right to left, I know that we can
solve 50 + 40 which is 90.
So we need to put 9 underneath our tens
column.
Our answer is 93
Easy right? Do we ever need to exchange in addition?
Take a look at the question on the left.
When we add 8 + 5 we get an answer that is larger than 10!
There is only room for 1 digit to go in that place.
What do we do? We need to carry
Easy right? Do we ever need to exchange in addition?
I know that 8 + 5 = 13
Firstly, I am going to place my ‘3’ underneath the units
I still have ten left over
3
Easy right? Do we ever need to exchange in addition?
I know that 8 + 5 = 13
Secondly, I am going to place my ten by carrying it over to my tens column and I will place it underneath my
difference bar.
3
1
Easy right? Do we ever need to exchange in addition?
Finally, I know that 30 + 40 = 70.
But, I still have my ten underneath which I am going to add to this to 70 which makes 80!
So I put 8 in my tens column.
My answer is 833
1
8
Easy right? Do we ever need to exchange in addition?
To have a better understanding of carrying numbers, watch the video below which can be found on the 5MR
NOV 2020 playlist. Here is the link -https://youtu.be/tJxPFGMFCyQ
https://youtu.be/tJxPFGMFCyQ
What about larger numbers?
What about larger numbers?REMEMBER – We work from right to left
Firstly, I know that 7 + 5 is going to give me an answer greater than 10.
7 + 5 = 12
So, I need to place my 2 units underneath the units column.
Then, I place my 10 underneath the difference bar in the tens column 2
1
What about larger numbers?REMEMBER – We work from right to left
Next, I know that 1 + 3 gives an answer lower than 10!
1 + 3 = 4
The same as 10 + 30 = 40
I need to remember the 10 that I can carried across and add this to my answer.
40 + 10 =50
So I place 5 underneath my tens column
21
5
What about larger numbers?REMEMBER – We work from right to left
Finally, I know that 4 + 2 gives me an answer below 10
4 + 2 = 6
The same as 400 + 200 = 600
So I need to place 6 underneath my hundreds column
My answer is 65221
56
What happens when my last
digits that I am adding are more
than 10?
Firstly, I know that 5 + 6 has an answer more than 10 so we need to carry
5 + 6 = 11
So, I need to place my 1 unit underneath the units column
My remaining 10 goes underneath the difference bar of the ten columns
1
1
Secondly, I know that 3 + 4 is less than 10 so I do not need to carry this time.
3 + 4 = 7The same as 30 + 40 =70
However, I need to add my ten to my answer making it 8!
So I place 8 underneath the tens column
1
1
8
Finally, I know that 9 + 1 = 10 but what do I do now?
Well, if you get this in your final addition stage then you need to put both digits!
Looking at the two numbers you can see that my answer will go into the thousands.
So, I simply place my 0 underneath the hundreds column and place my 1 in my new thousands space.
My answer is 1,081
1
1
81 0
If you still need help with your understanding
Do not be afraid to re-watch the video on the part that you are stuck on ☺
https://youtu.be/tJxPFGMFCyQ
https://youtu.be/tJxPFGMFCyQ
Your turn! Remember to use the column method to show your understanding
1 star 2 star 3 star
1. 73 + 25
2. 67 + 21
3. 44 + 35
4. 34 + 26
5. 57 + 38
1. 329 +130
2. 564 + 339
3. 632 + 456
4. 1349 + 261
5. 2345 + 1476
1. 2345 + 1476
2. 5781 + 2192
3. 11,345 + 8493
4. 15,865 + 10,162
5. 78, 876 + 22, 114