Question

1. provide a rationale for each grouping of numbers.

a. $3, \frac{75}{5}, -18, -\frac{30}{3}$

Explanation:

First, simplify all terms to their integer form:

• $3$ is already an integer.
• $\frac{75}{5} = 15$, which is an integer.
• $-18$ is already an integer.
• $-\frac{30}{3} = -10$, which is an integer.

All numbers in the set are integers, meaning they are whole numbers (positive, negative, or zero) with no fractional or decimal components.

Answer:

All numbers in the group simplify to integers (whole numbers, including positive, negative values, with no fractional parts when simplified). Specifically, $\frac{75}{5}=15$ and $-\frac{30}{3}=-10$, so the set consists of integers: $3, 15, -18, -10$.