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Multiplication — Topic Guide

A plain-language explanation of multiplication, with a worked example — plus a link straight into the generator to create a fresh, printable practice sheet.

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How multiplication works

Multiplication is repeated addition: 4 × 3 means "four groups of three," or 3 + 3 + 3 + 3. Once the basic facts (the times tables, 1–12) are memorized, multi-digit multiplication breaks a large problem into a series of single-digit multiplications that are added together.

Multi-digit multiplication

To multiply a two-digit number by a one-digit number, multiply the ones digit first, then the tens digit, carrying as needed — the same carrying idea used in addition.

Worked example: 23 × 4
Ones: 4 × 3 = 12 → write 2, carry 1
Tens: 4 × 2 = 8, plus the carried 1 = 9
Answer: 92

Common mistakes

The most common error is forgetting to add the carried digit, or mixing up which number to carry. For two-digit × two-digit problems, forgetting to shift the second partial product one place to the left is another frequent mistake.

Where multiplication shows up next

Multiplication fluency is required for fraction multiplication, long division, and nearly every algebra topic that follows.

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