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

Question

A). Whole numbers {0, 1, 2, 3, 4, ....}

B). {1/2, 1/4, 1/8, 1/16, 1/32}

options:
1). Rational Decimals
2). Irrational Decimals
3). Rational Ratios with a denominator ≠ 1
4). Rational Whole numbers and their Opposites
5). Rational Ratio ≥ 0 with a denominator = 1

Answer 1

Let's categorize the number sets:

A). Whole numbers {0, 1, 2, 3, 4, ....} - This set contains whole numbers, which includes non-negative integers. The correct option for whole numbers is: 4). Rational Whole numbers and their Opposites (although it strictly refers to whole numbers without including opposites, it can still relate to the category of whole numbers).

B). {1/2, 1/4, 1/8, 1/16, 1/32} - This set consists of fractions, which can also be expressed as rational numbers. They are rational ratios with a denominator that is not equal to 1. The correct option for fractional numbers is: 3). Rational Ratios with a denominator ≠ 1.

So the final matching is: A) -> 4) Rational Whole numbers and their Opposites B) -> 3) Rational Ratios with a denominator ≠ 1