Question

write an equivalent expression by distributing the \-\ sign outside the parentheses: -(-0.1p + 4)

Explanation:

Step1: Apply the distributive property

The distributive property for a negative sign outside parentheses is \( - (a + b) = -a - b \), or more generally, \( - (x + y) = -1 \times x + (-1) \times y \). Here, we have \( -(-0.1p + 4) \), so we distribute the \(-1\) (implied by the negative sign) to each term inside the parentheses.
\( -1\times(-0.1p) + (-1)\times4 \)

Step2: Simplify each term

Simplify \( -1\times(-0.1p) \) which is \( 0.1p \), and \( -1\times4 \) which is \( -4 \).
So the expression becomes \( 0.1p - 4 \).

Answer:

\( 0.1p - 4 \)