Question

According to the Closure Property, 1/5+6 would result in what type of number?(1 point)

Answer 1

The Closure Property refers to the idea that when two numbers of a certain set are combined using a specific operation (like addition, subtraction, multiplication, etc.), the result will also belong to that same set.

In the case of \( \frac{1}{5} + 6 \):

1. \( \frac{1}{5} \) is a rational number.
2. \( 6 \) is also a rational number.

When you add \( \frac{1}{5} \) and \( 6 \), you get:

\[
\frac{1}{5} + 6 = \frac{1}{5} + \frac{30}{5} = \frac{31}{5}
\]

Here, \( \frac{31}{5} \) is also a rational number.

Thus, according to the Closure Property, \( \frac{1}{5} + 6 \) results in a rational number.