0.1 Real numbers and their properties
Unit 0 · Textbook foundations: equations, lines and systems
Ideas in this lesson
Classify real numbers
Use the smallest applicable set: integers, rational nonintegers, or irrational numbers.
Explain rational and irrational sums
A rational number plus an irrational number is irrational.
Identify field properties
Distinguish changing order, changing grouping, and distributing multiplication.
Order real numbers
Compare signs and sizes before listing numbers in increasing order.
Opposites and reciprocals
The reciprocal of a nonzero number gives a product of one.
Convert rates using units
Multiply by conversion factors so unwanted units cancel.
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