Reverse multiplication: How the distributive property unlocks factoring
In short: Mastering the transition from arithmetic to algebra requires understanding how numbers can be pulled apart. This video explains how to use the distributive property to factor out the greatest common factor from numerical expressions.
Factoring is essentially the process of identifying what numbers are shared across an expression and pulling them out as a single multiplier. By applying the distributive property in reverse, you can simplify complex numerical sums into a product of their greatest common factors.
This skill serves as a foundational step for 6th-grade students moving into algebra. It bridges the gap between basic operations—like adding and subtracting decimals or fractions—and more sophisticated concepts like variable expressions and exponents.
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Sources
- Summary by Intellect · source: How to use the distributive property to factor out the greatest common factor | Khan Academy
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