Question

which of the following numerical expressions results in a negative number?

\\((-5) + (12)\\)

\\((5) + (-12)\\)

\\((5) + (12)\\)

\\((5) + (-12) + (15)\\)

Explanation:

Evaluate the first expression

Using the Real Numbers knowledge point

$$ (-5) + (12) = 12 - 5 = 7 $$

Since \(7 > 0\), this result is positive.

Evaluate the second expression

Using the Real Numbers knowledge point

$$ (5) + (-12) = 5 - 12 = -7 $$

Since \(-7 < 0\), this result is negative.

Evaluate the third expression

Using the Real Numbers knowledge point

$$ (5) + (12) = 17 $$

Since \(17 > 0\), this result is positive.

Evaluate the fourth expression

Using the Real Numbers knowledge point

$$ (5) + (-12) + (15) = -7 + 15 = 8 $$

Since \(8 > 0\), this result is positive.

Answer:

• (A) (-5) + (12)
• (B) (5) + (-12) (Correct answer)
• (C) (5) + (12)
• (D) (5) + (-12) + (15)