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... shows WHEN to add, or subtract, or multiply, or divide!

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You know we do not actually divide? We solve multiplication by multiplying and we solve division...by multiplying. When we see a problem such as 8 divided by 2, we ask ourselves (and solve) what times 2 equals 8? Which is multiplication. Which, again, is why it is critical to allow students to use the multiplication grid or Noble's Columns© until they have memorized the multiplication tables.