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 · integers

Explanation:

Step1: Analyze the innermost circle

The innermost circle has numbers \(6, 7, 8\), which are natural numbers (counting numbers). So this circle represents Natural numbers.

Step2: Analyze the middle circle

The middle circle has numbers \(-9, -3, -6\), which are integers (positive and negative whole numbers, including zero). Also, integers are a subset of rational numbers, and natural numbers are a subset of integers. So this circle represents Integers.

Step3: Analyze the outermost circle

The outermost circle has numbers \(\frac{3}{4}, 2.\overline{3}, -7.6\), which are rational numbers (numbers that can be expressed as a fraction \(\frac{p}{q}\) where \(p\) and \(q\) are integers and \(q
eq0\)). Rational numbers include integers and natural numbers as subsets. So this circle represents Rational numbers.

Answer:

• Innermost circle (with \(6,7,8\)): Natural numbers
• Middle circle (with \(-9, -3, -6\)): Integers
• Outermost circle (with \(\frac{3}{4}, 2.\overline{3}, -7.6\)): Rational numbers