Evaluate each expression. -|-12|

검증된 단계별 안내

Recognize that the expression involves the absolute value function, which returns the non-negative value of a number. The absolute value of a number \(x\) is denoted as \(|x|\) and is defined as \(|x| = x\) if \(x \geq 0\), and \(|x| = -x\) if \(x < 0\).

Identify the inner absolute value: \(|-12|\). Since \(-12\) is negative, its absolute value is the positive counterpart, which is \(12\).

Rewrite the expression by replacing the inner absolute value with its value: \(- | -12 | = - 12\).

Now, evaluate the remaining expression, which is the negative of \(12\).

Conclude that the value of the expression is the negative of the absolute value of \(-12\).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

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, always expressed as a non-negative value. For example, |−12| equals 12 because distance is always positive regardless of direction.

Nested Absolute Values

When absolute value symbols are nested, such as -|-12|, evaluate the innermost absolute value first. This means finding the absolute value inside before applying any other operations outside.

Order of Operations

Order of operations dictates the sequence in which parts of an expression are evaluated. Here, absolute values are evaluated first, then the negative sign outside is applied to the result.