Question

Write an equivalent expression by distributing the "-" sign outside the parentheses: 2b - (-0.5c - 10).

Answer 1

To distribute the "-" sign for the expression 2b - (-0.5c - 10), we change the signs of the terms inside the parentheses, resulting in the equivalent expression 2b + 0.5c + 10.

Step-by-step explanation:

To write an equivalent expression by distributing the "-" sign outside the parentheses of the expression 2b - (-0.5c - 10), we remove the parentheses by changing the signs of the terms inside the parentheses, due to the minus sign in front of them. The result will be as follows:

1. Keep the term outside the parentheses as it is: 2b.
2. Change the sign of the first term inside the parentheses from negative to positive: + 0.5c.
3. Change the sign of the second term inside the parentheses from negative to positive: + 10.

Combining these steps, we have the equivalent expression: 2b + 0.5c + 10.

To distribute the '-' sign outside the parentheses in the expression 2b - (-0.5c - 10), you need to change the signs of all terms inside the parentheses by multiplying them by -1. This gives you 2b + 0.5c + 10.