Question

13 which visual shows -3.7, -8 and 0 placed correctly in the graphic organizer? rational numbers rational numbers rational numbers rational numbers -3.7 -3.7 -3.7 -8 -8 integers integers integers integers -8 0 0 whole numbers whole numbers whole numbers whole numbers 0 0

Explanation:

Step1: Recall number - set definitions

Whole numbers are non - negative integers: 0, 1, 2, 3, ...; Integers are whole numbers and their negatives: ..., - 2, - 1, 0, 1, 2, ...; Rational numbers are numbers that can be written as a fraction $\frac{a}{b}$ where $a,b\in\mathbb{Z}$ and $b
eq0$.

Step2: Analyze each number

• 0 is a whole number, an integer, and a rational number.
• - 8 is an integer and a rational number but not a whole number.
• - 3.7 is a rational number but not an integer or a whole number.

Step3: Check the visual representations

In the correct visual, 0 should be in the whole - numbers circle (and thus also in the integers and rational numbers circles), - 8 should be in the integers circle (and rational numbers circle but not whole numbers circle), and - 3.7 should be only in the rational numbers circle.

Answer:

The third visual (from the left) shows - 3.7, - 8 and 0 placed correctly in the graphic organizer as it has 0 in the whole - numbers circle, - 8 in the integers circle (but not whole numbers), and - 3.7 only in the rational numbers circle.