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One visualization of multilication is to consider (say 7 x 35) as a grid of dots, 7 dots wide and 35 dots high. Then count up the number of dots in that rectangle.

Perhaps simpler is to multiply 7 x (30 +5) = 7 x 30 + 7 x 5; = 210 + 35 = 245.

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Q: How do you multiply traditionally?
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