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To solve this problem, we'll follow these steps:
Step 1: Write the numbers one under the other, aligning their digits by place value.
Step 2: Add the digits from the rightmost column to the left, carrying over where needed.
Detailed Steps:
Step 1: Begin with the units place. Add the digits in the units column: . Write down 1 in the units column and carry over the 1 to the tens column.
Step 2: Move to the tens column. Add the digits along with the carried over value: . Again, write down 1 in the tens column and carry over the 1 to the hundreds column.
Step 3: In the final hundreds column, add: . Write down the 9 in the hundreds column as there are no more digits to add.
The final result by putting all these together is: .
Therefore, the sum of 677 and 234 is
911
\( \begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
When adding a column gives you a two-digit number, you write the ones digit in that column and carry the tens digit to the next column on the left. For example, 7 + 4 = 11, so write 1 and carry 1.
Place value alignment is crucial! Units must be under units, tens under tens, and hundreds under hundreds. This ensures you're adding the correct place values together.
Always carry to the left (to the next higher place value). Think of it as moving from smaller to larger values: ones → tens → hundreds.
Try these methods:
Use estimation to check reasonableness! 677 is close to 700, 234 is close to 200. So 700 + 200 = 900. Your answer should be close to 900, making 911 reasonable.
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