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Arithmetic (Beginner) · Quick Reference
Multiplication Cheat Sheet
In one line: multiplication is repeated addition — a fast way to add the same number many times.
Key Ideas
1Product. The result of multiplying numbers together.
2Factors. The numbers being multiplied are called factors of the product.
3Commutative Property. a x b = b x a.
4Distributive Property. a x (b + c) = (a x b) + (a x c). This is the basis for long multiplication.
5Multiplying by Powers of 10. Add one zero for each power of 10 (e.g., 34 x 100 = 3,400).
Worked Examples
Multiply 6 x 7 using repeated addition.
42
Multiply 23 x 14 using the distributive property.
322
Multiply 45 x 100.
4,500
Formulas
Product = factor1 x factor2 x ...
Practice Yourself
8 x 9 = ?
72
15 x 6 = ?
90
23 x 10 = ?
230