Here are the matches for the number set or type of number with the correct category:
A) Non-Repeating decimal (.44454647....) - 2). Irrational Decimals
B) Whole numbers {0, 1, 2, 3, 4, ....} - 5). Rational Ratio ≥ 0 with a denominator = 1
C) Integers - 4). Rational Whole numbers and their Opposites
D) {1/2, 1/4, 1/8, 1/16, 1/32} - 3). Rational Ratios with a denominator ≠ 1
E) Repeating decimals (0.454545...) - 1). Rational Decimals