Question

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

\\((-67) - 12 - 25\\)

\\((-67) - (-76)\\)

\\((-67) - (-12)\\)

\\((-67) - (-25)\\)

Explanation:

Analyze the first expression

Using the Negative Numbers knowledge point

$$ (-67) - 12 - 25 = -67 - 12 - 25 = -79 - 25 = -104 $$

Analyze the second expression

Using the Integer Addition and Negative Numbers knowledge points

$$ (-67) - (-76) = -67 + 76 = 9 $$

Analyze the third expression

Using the Integer Addition and Negative Numbers knowledge points

$$ (-67) - (-12) = -67 + 12 = -55 $$

Analyze the fourth expression

Using the Integer Addition and Negative Numbers knowledge points

$$ (-67) - (-25) = -67 + 25 = -42 $$

Identify the positive result

Using the Negative Numbers knowledge point

$$ 9 > 0 $$

Answer:

• (A) \((-67) - 12 - 25\)
• (B) \((-67) - (-76)\) (Correct answer)
• (C) \((-67) - (-12)\)
• (D) \((-67) - (-25)\)