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Addition in columns calculator


With this calculator you will learn how to add in columns. You can check if the addition you have made is correct



Written addition in columns

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Useful information

The method of adding in columns simplifies the addition significantly in the case of multi-digit natural numbers because we only add single-digit numbers in memory.

Below is an example of calculating the sum of two numbers: 1893 and 134.
The numbers are written in a column so that the unities of the second number are under the ones of the first, the tens under the tens, the hundreds under the hundreds, and so on. Draw a line under the second number that represents the equal sign. $$ {\displaystyle {\begin{matrix}{\underline {\begin{matrix}\ &1&8&9&3\\+&&1&3&4\end{matrix}}}\end{matrix}}} $$ We start adding from the right column containing the unity digits of both numbers. The unity digit in 1893 is 3, the unity digit 134 is 4.
We add these two one-digit numbers and write the last result under the dash: 3 + 4 = 7, so in the one-digit position under the dash we write the number 7. $$ {\displaystyle {\begin{matrix}{\underline {\begin{matrix}\ &1&8&9&3\\+&\ &1&3&4\end{matrix}}}\\\;\;{\begin{matrix}\ &\ &\ &\ &7\end{matrix}}\end{matrix}}}$$ The next step is to add a tens column (second column from the right). The tens digit 1893 is 9, the tens digit 134 is 3.
We add these two numbers together: 9 + 3 = 12, where we write 2 under the dash in the tens column, and transfer 1 to the hundreds column. $$ {\displaystyle {\begin{matrix}{\underline {\begin{matrix}\ &\ &1&\ &\ \\\ &1&8&9&3\\+&&1&3&4\end{matrix}}}\\\;{\begin{matrix}\ &\ &\ &2&7\end{matrix}}\end{matrix}}}$$ Now we add the third column from the right, which is a column of hundreds. The hundreds digit 1893 is 8, the hundreds digit is 1.
We add 1 + 8 + 1 = 10, where we write 0 under the dash in the hundreds column, and transfer 1 to the thousands column. $$ {\displaystyle {\begin{matrix}{\underline {\begin{matrix}\ &\ 1&\ \\\ &1&8&9&3\\+&&1&3&4\end{matrix}}}\\\;\;{\begin{matrix}\ &\ &0&2&7\end{matrix}}\end{matrix}}}$$ All that's left is to add thousands. Since the second number does not have thousands (the number of thousands is 0), we add 1 + 1 + 0 = 2. Write the number 2 under the dash in the thousand column. $$ {\displaystyle {\begin{matrix}{\underline {\begin{matrix}\ &\ 1&\ \\\ &1&8&9&3\\+&&1&3&4\end{matrix}}}\\\;\;{\begin{matrix}\ &2&0&2&7\end{matrix}}\end{matrix}}}$$ that is,

$$ 1893 + 134 = 2027 $$






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