Problem 74 Evaluate the expression. \(-|-... [FREE SOLUTION]

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Algebra 1: Concepts and Skills

Ron Larson, Laurie Boswell, Holt McDougal

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 2: Problem 74

Evaluate the expression. $-|-7|$

Short Answer

Expert verified

-7

Step by step solution

Determine the Absolute Value

The symbol |-7| represents the absolute value of -7, which is the nonnegative value of -7. In other words, it's the distance of -7 from 0 on a number line. So, |-7| is equal to 7.

Apply the Negative Sign

Now, consider the negative sign in front of the absolute value expression. This will make the absolute value of -7 negative. So, $-|-7|$ is equal to -7.

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Key Concepts

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

Negative Numbers

Negative numbers are numbers less than zero. They are represented with a minus sign (鈭�). These numbers might seem tricky at first, but they show up all around us, like in temperatures below freezing or in bank accounts with overdrafts.

Here's what to remember about negative numbers:

You move left from zero on a number line to find them.
They get smaller as you move left, meaning ext{-1} is greater than ext{-7}.
Multiplying two negative numbers gives a positive result, while multiplying a negative and a positive number gives a negative result.

Understanding negative numbers helps in various math operations, such as subtraction and evaluating expressions.

Number Line

A number line is a visual representation of numbers arranged in order along a straight line. It's a simple yet powerful tool to understand integers and their relationships.

Here's how you use a number line:

The center is often marked as zero.
Positive numbers sit to the right of zero, while negative numbers sit to the left.
Each step left or right represents an increase or decrease by one unit.

When you look at |-7| on a number line, you see that -7 is 7 units away from 0. This distance helps in understanding absolute values, showing that magnitude is the focus, not direction.

Evaluating Expressions

Evaluating expressions involves finding the value of a math expression. It's like solving a puzzle by following mathematical rules step by step.

Consider the expression - |-7|. Here's how to evaluate it:

Start by determining the absolute value: |-7| = 7. This step tells you how far -7 is from 0 on the number line.
Next, apply the negative sign in front: - |7| becomes -7. This step reflects the expression fully, considering the negative sign changes the direction of our positive distance.

Understanding how to evaluate expressions is crucial in math, helping solve problems quickly and accurately. It allows for simplifying complex problems into manageable parts.

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91影视

Evaluate the expression. \(-|-7|\)

Short Answer

Step by step solution

Determine the Absolute Value

Apply the Negative Sign

Key Concepts

Negative Numbers

Number Line

Evaluating Expressions

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