Irrational numbers
▶ Classifying numbers
There are many categories we can use to classify numbers. Some of those categories are rational numbers, irrational numbers, integers, and whole numbers. Rational numbers are represented as a fraction of two integers, while irrational numbers cannot be represented as a fraction of two integers. Integers are positive and negative numbers that don’t involve fractions or decimals. Whole numbers are a subset of integers — they are non-negative integers.
▶ Worked example: classifying numbers
How do repeating decimals fit into the number sets? We'll explore if a number like 3.4028 repeating is a real number, a rational number, or both. We'll use multiplication and subtraction, plus a bit of algebra, to convince ourselves of whether or not there is a fraction representation of the number.
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