Using the distributive properties, simplify the following:
$65 \times 813 - 65 \times 13$

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Solution

Simplifying the given expression
$65 \times 813 - 65 \times 13$
$= 65 \times (813 - 13)$ $[B y d i s t r i b u t i v e p r o p e r t y : a \times b - a \times c = a \times (b - c)]$
$= 65 \times 800$
$= 52000$
Hence, $65 \times 813 - 65 \times 13 = 52000$

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