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To solve this problem, we'll follow these steps:
Step 1: Align the numbers and vertically by their respective place values (ones, tens, hundreds).
Step 2: Add the digits in each column starting from the ones place and moving to the left (tens, then hundreds), carrying as necessary.
Now, let's work through each step:
Step 1: The numbers are aligned as follows:
Step 2: Start adding from the rightmost column (ones):
. We write down the and carry over the to the tens column.
Next, add the tens column including the carried :
. We write down the and carry over the to the hundreds column.
Finally, add the hundreds column including the carried :
. Write the .
Therefore, the sum is .
The solution to the problem is .
910
\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)
When a column adds up to 10 or more, you write the ones digit and carry the tens digit to the next column. For example, 8 + 2 = 10, so write 0 and carry 1.
We start from the ones place because any carrying affects the next column to the left. If you started from hundreds, you'd miss important carries from tens and ones!
Your answer will be too small! Always check each column carefully. In this problem, forgetting the carry gives 800 instead of 910 - a big difference!
Try these methods:
Yes! You carry whenever the sum of a column is 10 or greater. In , we carry from ones (8+2=10) and tens (2+8+1=11) but not hundreds (7+1+1=9).
The same rules apply! Add all numbers in each column, carry when the sum is 10 or more, and don't forget to include any carried amounts in your column totals.
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