Find the sum $1234 + 478 + 766 + 522$ by suitable rearrangement

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Solution

Finding the sum:
Using associative property for rearrangement, after rearranging, we get,
$\begin{array}{rcl} 1234 + 478 + 766 + 522 & = & (1234 + 766) + (478 + 522) \\ = & 2000 + 1000 (using BODMAS rule) \\ = & 3000 \end{array}$
Hence, the sum is $3000$ .

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