Addition of Large Numbers Calculator

Approach

Step 1

Step 1 - Write the two addends in columns, aligned on the right (ones under ones). Put the + sign to the left of the bottom addend, and draw a line underneath.

In this problem: We write \(27\) on top and \(93\) below it, aligned on the right. Then we put the \(+\) sign to the left of \(93\) and draw the line underneath.

Step 2

Step 2 - Start at the rightmost column and add its two digits. Write the ones digit under the line, and if the total goes above nine, carry the tens digit to the next column on the left by writing it above that column. In every column after that, add the two digits plus any carry brought over. This repeats once for every column, moving right to left. If there is a carry after the leftmost column, write it as a new digit on the left of the current result to get the final answer.

In this problem: The longer addend has \(2\) digits, so we will add \(2\) columns, moving right to left. The lettered steps below work through them one at a time.

Step 2a

Step 2a - Start with the rightmost column (ones). Add the two digits, write the ones digit, and carry the tens digit (if any) to the next column.

In this problem: \(7 + 3 = 10\) → write \(0\) under the ones column, carry \(\textcolor{red}{1}\) to the tens column.

Step 2b

Step 2b - At the leftmost column there is no next column to carry into, so the whole total is written under the line.

In this problem: \(2 + 9 + \textcolor{red}{1} = 12\) → write \(12\) under the tens column and the new hundreds column to its left.

Final Answer

Approach

Step 1

Step 1 - Write the two addends in columns, aligned on the right (ones under ones). Put the + sign to the left of the bottom addend, and draw a line underneath.

In this problem: We write \(172\) on top and \(93\) below it, aligned on the right. Then we put the \(+\) sign to the left of \(93\) and draw the line underneath.

Step 2

Step 2 - Start at the rightmost column and add its two digits. Write the ones digit under the line, and if the total goes above nine, carry the tens digit to the next column on the left by writing it above that column. In every column after that, add the two digits plus any carry brought over. This repeats once for every column, moving right to left. If there is a carry after the leftmost column, write it as a new digit on the left of the current result to get the final answer.

In this problem: The longer addend has \(3\) digits, so we will add \(3\) columns, moving right to left. The lettered steps below work through them one at a time.

Step 2a

Step 2a - Start with the rightmost column (ones). Add the two digits, write the ones digit, and carry the tens digit (if any) to the next column.

In this problem: \(2 + 3 = 5\) → write \(5\) under the ones column.

Step 2b

Step 2b - Move one column to the left and repeat the same process: add the two digits plus any carry, write the ones digit, and carry the tens digit (if any). Keep repeating until you finish the leftmost column.

In this problem: \(7 + 9 = 16\) → write \(6\) under the tens column, carry \(\textcolor{red}{1}\) to the hundreds column.

Step 2c

Step 2c - Move one column to the left and repeat the same process: add the two digits plus any carry, write the ones digit, and carry the tens digit (if any). Keep repeating until you finish the leftmost column.

In this problem: \(1 + 0 + \textcolor{red}{1} = 2\) → write \(2\) under the hundreds column.

Final Answer