Match the number set or type of number with the correct category.(5 points)

1. Repeating decimals (0.454545...)
2. Whole numbers {0, 1, 2, 3, 4, ....}
3. {1/2, 1/4, 1/8, 1/16, 1/32}
4. Non-Repeating decimal (.44454647....)
5. Integers

A. rational ratio ≥ 0 with a denominator = 1
B. rational whole numbers and their opposites
C. irrational Decimals
D. rational ratios with a denominator ≠ 1
E. rational decimals

1. C. irrational Decimals

2. B. rational whole numbers and their opposites
3. A. rational ratio ≥ 0 with a denominator = 1
4. D. rational ratios with a denominator ≠ 1
5. B. rational whole numbers and their opposites

Repeating decimals (0.454545...) = irrational Decimals

Whole numbers {0, 1, 2, 3, 4, ....} = rational whole numbers and their opposites
{1/2, 1/4, 1/8, 1/16, 1/32} =rational ratio ≥ 0 with a denominator = 1
Non-Repeating decimal (.44454647....) = rational ratios with a denominator ≠ 1
Integers = irrational decimals

I apologize for the incorrect response. Here is the corrected matching:

1. Repeating decimals (0.454545...) = E. rational decimals
2. Whole numbers {0, 1, 2, 3, 4, ....} = B. rational whole numbers and their opposites
3. {1/2, 1/4, 1/8, 1/16, 1/32} = A. rational ratio ≥ 0 with a denominator = 1
4. Non-Repeating decimal (.44454647....) = D. rational ratios with a denominator ≠ 1
5. Integers = B. rational whole numbers and their opposites