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Mental Arithmetic Shortcuts

Techniques for simplifying mental arithmetic calculations, such as removing zeros and using algebraic decomposition.

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Jan 11, 2026
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How can mental arithmetic shortcuts simplify multiplying numbers like 305 × 70?

Mental-arithmetic shortcuts turn a problem like 305 × 70 into a sequence of simpler, well-structured steps—remove zeros, multiply the core digits, and reattach zeros—so the brain handles small, famili...

Jan 30, 2026

How can the same decomposition method be applied to calculate 487 × 60 quickly in the head?

quickly in the head is simplest when the multiplication is decomposed into parts: either split 487 into 400 + 80 + 7 and multiply each by 60, or multiply 487 by 6 and then by 10 — both approaches rely...