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Chapter 1: Problem 9

Evaluate each of the following expressions, if possible. $$-(-7-4)$$

Short Answer

Expert verified
11

Step by step solution

01

Simplify inside the parentheses

First, evaluate the expression inside the parentheses: manipulate $$ -7 - 4 $$which equals$$ -11. $$
02

Apply the outer negative sign

Next, evaluate the outer negative sign:take the negative of $$ -11 $$which gives us$$ 11. $$

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Simplifying Expressions
Simplifying expressions means making a math problem easier to solve by breaking it down into smaller steps. When evaluating algebraic expressions, it is essential to simplify inside any parentheses first. For example, consider the expression \(-(-7-4)\). The first step is to perform the subtraction inside the parentheses: \(-7 - 4 = -11\). By simplifying this part first, we reduce the complexity of the problem.
Remember: always perform operations inside parentheses first before moving on to other parts of the expression.
Negative Numbers
Understanding negative numbers is crucial for solving many math problems. In the exercise, we see \(-(-7-4)\), which involves negative signs. A negative number is any number less than zero and is usually indicated by a minus sign (\

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