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Chapter 1: Problem 9

What is the absolute value of 7 ? A. \(|7|\) B. -7 C. (7) D. 7

Short Answer

Expert verified
The answer is D. 7.

Step by step solution

01

Understand Absolute Value

The absolute value of a number is the distance between that number and zero on a number line, regardless of direction. It is always a non-negative number.
02

Identify the Number

In this exercise, the number given is 7.
03

Apply Absolute Value

The absolute value of 7 is written as \(|7|\). Since 7 is positive, \(|7| = 7\).
04

Select the Correct Answer

From the provided options, the correct one is D. 7

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Key Concepts

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

number line
A number line is a visual representation of numbers laid out in a straight line. It is usually used to help understand the placement and order of numbers.
On a typical number line, numbers to the right are positive and numbers to the left are negative. Zero is the central point. For example, if you place the number 7 on the number line, it will be 7 units to the right of zero.
When finding the absolute value of 7, we look at its position on the number line and measure its distance from zero.
non-negative numbers
Non-negative numbers are either positive or exactly zero. This means they are never negative.
When we talk about absolute value, we always end up with a non-negative number. This is because absolute value measures the distance, and distances can't be negative.
In our example, the absolute value of 7 is 7. Since 7 is already positive, it remains 7 when taking its absolute value. That鈥檚 why absolute values are always non-negative.
distance from zero
The absolute value of a number is how far it is from zero on the number line.
Think of it as the total number of steps you need to get back to zero.
This is why the result is always positive or zero, because you can't take a negative number of steps.
For 7, its distance from zero is 7 units. Hence, the absolute value \(|7| = 7\). The concept of distance from zero ensures that the absolute value is straightforward and easy to understand.

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Most popular questions from this chapter

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What is \(|-42|\), simplified? A. 42 B. \((-42)\) C. -42 D. \(|42|\)
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