Question

Where should `-\sqrt{169}`be placed in the Venn diagram?

Answer 1

To determine where \(-\sqrt{169}\) should be placed in a Venn diagram, we first evaluate the expression.

Calculating \(-\sqrt{169}\):
\[
-\sqrt{169} = -13
\]

This means we need to consider the number \(-13\) in relation to the sets represented in the Venn diagram. The placement will depend on what the circles in the Venn diagram represent.

For example, if we have:
1. A circle for **positive numbers**.
2. A circle for **negative numbers**.
3. A circle for **whole numbers** or **integers**.

In this case:
- \(-13\) is a **negative number**.
- \(-13\) is also an **integer** (which includes negative whole numbers).

Thus, \(-13\) would be placed in the intersection of the **negative numbers** and **integers** circles.

If the Venn diagram has different categories, the exact placement may vary, but you generally look for the set that contains the characteristics of the number \(-13\).

In conclusion, without specific information about what the circles represent in your Venn diagram, \(-13\) should be placed in the circle representing negative numbers (and/or integers).