Algebra › Section A · Foundations › Topic A.3
Properties of real numbers
Algebra's licence to rearrange comes from a short list of laws that every real number obeys. Learn them once and every simplification you do afterwards rests on solid ground.
In this topic
- Rules that never change the value
- The commutative property
- The associative property
- The distributive property
- Worked example: simplifying a linear expression
- Identity and inverse properties
- The properties of zero
- Worked example: mental arithmetic with the properties
- Common mistakes to avoid
- Key takeaways
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