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Multiplication shortcuts (distributive law)

Grade 3 · Algebra and order of operations

An expression that looks like hard work, such as 749 × 215 + 215 × 9251. Both parts share a number, so it can be rewritten as 215 × (749 + 9251) = 215 × 10,000.

Half the questions add and half subtract, and the pair always makes a power of ten, so spotting the shortcut turns it into easy mental maths.

A sample multiplication shortcuts (distributive law) question

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