Evaluate each expression. -|7/2|

검증된 단계별 안내

Identify the expression to evaluate: \(-\left| \frac{7}{2} \right|\).

Recall that the absolute value \(|x|\) of a number \(x\) is the distance of \(x\) from zero on the number line, which is always non-negative.

Calculate the absolute value inside the expression: \(\left| \frac{7}{2} \right| = \frac{7}{2}\), since \(\frac{7}{2}\) is already positive.

Apply the negative sign outside the absolute value: \(-\left| \frac{7}{2} \right| = -\frac{7}{2}\).

Thus, the expression simplifies to the negative of the positive fraction \(\frac{7}{2}\).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

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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, always expressed as a non-negative value. For example, |7/2| equals 3.5, regardless of the sign of the original number.

Negative Sign Outside Absolute Value

When a negative sign is placed outside the absolute value, it means the negative of the absolute value. For instance, -|7/2| equals -3.5, which is the negative of the positive absolute value.

Evaluating Rational Numbers

Rational numbers are numbers expressed as a fraction of two integers. Evaluating expressions involving rational numbers requires simplifying fractions and applying operations like absolute value and negation correctly.