Here is the matching of the number set or type of number with the correct category:
-
Repeating decimals (0.454545...)
- Match: Rational decimals
-
Whole numbers {0, 1, 2, 3, 4, ....}
- Match: Rational whole numbers and their opposites
-
Integers
- Match: Rational whole numbers and their opposites
-
{1/2, 1/4, 1/8, 1/16, 1/32}
- Match: Rational ratios with a denominator ≠ 1
-
Non-Repeating decimal (.44454647....)
- Match: Irrational decimals
These matches classify each type of number correctly based on the categories provided.