Why the order of subtraction doesn't change the absolute value
In short: This video provides a formal mathematical justification for why |a - b| is always equal to |b - a|. It moves beyond basic arithmetic to explain the underlying logic of how absolute values function.
The lesson addresses a fundamental property of absolute value: the distance between two numbers remains constant regardless of direction. While students often learn this through simple practice, this specific module provides the formal reasoning required for 7th-grade algebra.
This topic is part of a broader curriculum that introduces students to complex operations with negative numbers and advanced algebraic skills. By understanding these properties, learners build the foundation necessary for tackling two-step equations and higher-level mathematics.
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Sources
- Summary by Intellect · source: Justification for |a - b| = |b - a| | 7th grade | Khan Academy
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