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To solve this problem, we will perform vertical addition as follows:
First, align the numbers:
569
+ 437
----
Add the units' digit (rightmost column):
9 (from 569) + 7 (from 437) = 16
Write the 6 in the units place of the result and carry over the 1.
Add the tens' digit:
6 (from 569) + 3 (from 437) + 1 (carry) = 10
Write the 0 and carry over the 1.
Add the hundreds' digit:
5 (from 569) + 4 (from 437) + 1 (carry) = 10
Write the entire number since this is the leftmost position.
Hence, the final sum is:
1006
Therefore, the solution to the problem is .
1006
\( \begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
Proper alignment ensures you're adding the correct place values together! Units align with units, tens with tens, and hundreds with hundreds. Without this, you'll add wrong digits together.
When a column sum is 10 or more, you carry the tens digit to the next column left. For example, 9 + 7 = 16 means write 6 and carry the 1 to add with the tens column.
Your final answer will be too small! In this problem, forgetting to carry would give you 996 instead of 1006. Always double-check each column for sums of 10 or more.
It's much harder that way! Adding right-to-left (units first) lets you handle carrying naturally. Left-to-right requires mental math to track multiple carries at once.
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