Problem 37 Evaluate each expression. $$-(... [FREE SOLUTION]

91影视

Understanding Elementary Algebra with Geometry

Lewis Hirsch, Arthur Goodman

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 1: Problem 37

Evaluate each expression. $$-(-4)$$

Short Answer

Expert verified

Step by step solution

Understand the expression

The expression given is $$-(-4)$$. It involves two negative signs.

Evaluate the inner expression

First, consider the inner expression. Since it is $$-4$$, it represents a negative four.

Apply the outer negative sign

Now, apply the outer negative sign to the result of the inner expression. A negative applied to a negative number results in a positive. Therefore, $$-(-4) = 4$$.

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Key Concepts

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

Expression Evaluation

Expression evaluation is a crucial part of understanding and solving mathematical problems. It involves breaking down expressions into simpler parts to find their value. In the expression $-(-4)$, we need to evaluate step by step to get the final result. Firstly, we identify the components of the expression. Understanding each component allows us to process and simplify them correctly. This step-by-step approach ensures accuracy and clarity in our solution.

Negative Sign

Negative signs can sometimes be confusing, especially when they appear multiple times in an expression. To tackle this, follow these key points:

A single negative sign before a number means the number is negative. For example, $-4 $ indicates the number is negative four.
When you have two negative signs like in $-(-4)$, the first negative sign changes the sign of the number following the second negative sign. So, $-(-4)$ turns into a positive number.
Double negatives make a positive. This is because negating the negative number changes it to its positive counterpart.

Understanding how to handle negative signs accurately is essential in arithmetic operations.

Basic Arithmetic

Basic arithmetic operations like addition, subtraction, multiplication, and division are fundamental in evaluating expressions. Here are some tips to handle these operations confidently:

Addition and Subtraction: Always pay close attention to the signs of the numbers involved. Remember that adding two negative numbers results in a more negative number, whereas subtracting a negative number can become addition.
Multiplication and Division: Multiplying or dividing two numbers with the same sign (both positive or both negative) results in a positive outcome. Conversely, multiplying or dividing numbers with different signs results in a negative outcome.

Always practice solving various expressions to reinforce these basic arithmetic rules. By mastering these fundamentals, you'll be better equipped to handle more complex mathematical problems.

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91影视

Evaluate each expression. $$-(-4)$$

Short Answer

Step by step solution

Understand the expression

Evaluate the inner expression

Apply the outer negative sign

Key Concepts

Expression Evaluation

Negative Sign

Basic Arithmetic

One App. One Place for Learning.

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