Here is the matching of number sets or types of numbers with the correct category:
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Repeating decimals (0.454545...)
- Category: :: Rational Decimals
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Whole numbers {0, 1, 2, 3, 4, ....}
- Category: :: Rational Ratio is greater than or equal to 0 with a denominator = 1
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Integers
- Category: :: Rational Whole Numbers and their Opposites
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Non-Repeating decimal (.44454647....)
- Category: :: Irrational Decimals
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{1/2, 1/4, 1/8, 1/16, 1/32}
- Category: :: Rational Ratios with a denominator ≠ 1