Match the number set or type of number with the correct category

Question

repeating decimals (0.454545...)
{1/2, 1/4, 1/8, 1/16, 1/32}
integers
non-repeating decimal (.44454647...)
whole numbers {0, 1, 2, 3, 4, ...}

Rational ratio greater than or equal to 0 with a denominator =1
rational decimals
rational ratios with a denominator not equal to 1
irrational decimals
rational whole numbers and their opposites

Answer 1

Here is the matching of the number set/type with the correct category:

1. Repeating decimals (0.454545...) → Rational ratios with a denominator not equal to 1
2. {1/2, 1/4, 1/8, 1/16, 1/32} → Rational ratios with a denominator not equal to 1
3. Integers → Rational whole numbers and their opposites
4. Non-repeating decimal (.44454647...) → Irrational decimals
5. Whole numbers {0, 1, 2, 3, 4, ...} → Rational ratio greater than or equal to 0 with a denominator = 1
6. Rational decimals → Rational ratios with a denominator not equal to 1

Please note the correction on the non-repeating decimal, as it should be classified as a rational number if it is in decimal form but terminates. If it continues indefinitely without repeating, then it belongs to the category of irrational numbers. If you were referring to a number that does not exhibit repeating behavior, that would typically not be the case with .44454647... as described as a decimal. Make sure the description aligns with the type of number you are matching, as this can affect the categories.