Evaluate each expression. See Example 5. |-8|

검증된 단계별 안내

Recognize that the expression involves the absolute value function, denoted by vertical bars \(|\cdot|\), which gives the non-negative value of the number inside it.

Recall the definition of absolute value: for any real number \(x\), \(|x| = x\) if \(x \geq 0\), and \(|x| = -x\) if \(x < 0\).

Identify the number inside the absolute value: here it is \(-8\), which is less than zero.

Apply the absolute value definition for negative numbers: \(|-8| = -(-8)\).

Simplify the expression by removing the double negative to find the absolute value.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Absolute Value

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative, so |-8| equals 8. This concept helps in understanding magnitude without considering sign.

Number Line Representation

Visualizing numbers on a number line aids in grasping absolute value. Negative numbers lie to the left of zero, and their absolute value corresponds to the positive distance from zero, reinforcing the idea that absolute value measures magnitude only.

Basic Arithmetic Operations

Understanding how to evaluate expressions involves applying arithmetic rules correctly. For absolute value, this means recognizing that the operation transforms negative inputs into positive outputs, which is essential for simplifying and solving expressions.