Write an equivalent expression by distributing the "minus−" sign outside the parentheses:
8, point, 2, r, minus, left parenthesis, minus, 7, s, minus, 1, right parenthesis
8.2r−(−7s−1)

To distribute the minus sign outside the parentheses in the expression \( 8.2r - (-7s - 1) \), we apply the following rules:

- When you distribute a negative sign over a set of terms, it changes the signs of each term inside the parentheses.

So,

\[
8.2r - (-7s - 1) = 8.2r + 7s + 1
\]

The equivalent expression is:

\[
8.2r + 7s + 1
\]

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions for further exploration:
1. What happens when you distribute a positive sign instead?
2. How would you handle distribution in a case with more than two terms inside the parentheses?
3. Can you simplify the expression if variables are the same inside and outside the parentheses?
4. How does distributing a negative sign affect subtraction inside parentheses?
5. What if there was a number outside the parentheses instead of a negative sign?

**Tip:** Always double-check the sign changes when distributing a negative sign to avoid common mistakes.

Write an equivalent expression by distributing the minus sign outside the parentheses: 8.2r - (-7s - 1)

Discover how to distribute the minus sign in the algebraic expression 8.2r - (-7s - 1). This tutorial explains the distributive property and handling negative numbers, perfect for Grades 6-8 students.

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