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To solve this problem, let's use vertical addition as follows:
Step 1: Align the numbers by their place values:
+
Step 2: Start with the units column:
Add . Write 0 in the units place and carry over 1 to the tens column.
Step 3: Move to the tens column:
Add , then include the carried 1, making it . Write 0 in the tens place and carry over 1 to the hundreds column.
Step 4: Finally, the hundreds column:
Add , then add the carried 1, making it . Write 0 in the hundreds place and put 1 in the next column (thousands, a new place in this context).
The sum of the numbers is, thereby:
Therefore, the total is .
1000
\( \begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
When you add digits and get 10 or more, you write the ones digit in that column and carry the tens digit to the next column on the left. It's like exchanging 10 ones for 1 ten!
Place value alignment ensures you add ones to ones, tens to tens, and hundreds to hundreds. Without proper alignment, you'll get the wrong answer!
Always carry to the left! Think of it as moving to the next bigger place value: ones → tens → hundreds → thousands.
It's much harder! Adding right to left (ones first) is easier because you handle all the carrying as you go. Left to right requires estimating carries ahead of time.
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