Question

label each circle of the venn diagram with the set of numbers it represents. click each dot on the image to select an answer. choices: natural numbers · rational numbers · whole numbers

Explanation:

Step1: Analyze the innermost circle

The innermost circle has numbers \(1, 2, 3\). Natural numbers are positive integers starting from \(1\), so this circle represents Natural numbers.

Step2: Analyze the middle circle

The middle circle includes \(0\) and the natural numbers. Whole numbers are non - negative integers (including \(0\) and positive integers), so this circle represents Whole numbers.

Step3: Analyze the outermost circle

The outermost circle includes numbers like \(-\frac{5}{7}\), \(1.\overline{6}\), \(1.99\) along with whole numbers. Rational numbers are numbers that can be expressed as a fraction \(\frac{p}{q}\) where \(p\) and \(q\) are integers and \(q
eq0\). All whole numbers and natural numbers are also rational numbers, and the other numbers in this circle are also rational. So this circle represents Rational numbers.

Answer:

Innermost circle: Natural numbers; Middle circle: Whole numbers; Outermost circle: Rational numbers