To match the number sets or types of numbers with the correct categories, we can categorize them as follows:
-
Integers: These are whole numbers that can be positive, negative, or zero.
Match: Whole numbers {0, 1, 2, 3, 4, ....} -
Whole Numbers: Whole numbers are non-negative integers (0 and positive integers). Match: Whole numbers {0, 1, 2, 3, 4, ....}
-
Non-Repeating Decimal: A non-repeating decimal is a decimal that goes on forever without repeating.
Match: Non-Repeating decimal (.44454647....) -
Repeating Decimals: A decimal that has a repeating pattern after the decimal point.
Match: Repeating decimals (0.454545...)
So the matches should look like this:
- Integers: None of the options presented match this category.
- Whole Numbers: {0, 1, 2, 3, 4, ....}
- Non-Repeating decimal: (.44454647....)
- Repeating decimals: (0.454545...)
Summary of matches:
- Whole Numbers: {0, 1, 2, 3, 4, ....}
- Non-Repeating Decimal: (.44454647....)
- Repeating Decimals: (0.454545...)
The first category "Integers" remains unmatched based on the inputs provided.