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

1 answer

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).