Evaluate each expression. |-4|

검증된 단계별 안내

Recognize that the expression involves the absolute value function, denoted by vertical bars \(|\cdot|\), which measures the distance of a number from zero on the number line.

Recall that the absolute value of a number is always non-negative, meaning \(|a| \geq 0\) for any real number \(a\).

Identify the number inside the absolute value: here it is \(-4\).

Apply the definition of absolute value: \(|-4|\) is the distance of \(-4\) from zero, which is the positive value \(4\).

Conclude that the absolute value expression simplifies to \(4\).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

55s

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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. For example, |-4| equals 4 because -4 is four units away from zero.

Properties of Real Numbers

Real numbers include all rational and irrational numbers. Understanding their properties, such as how absolute value interacts with positive and negative numbers, helps in evaluating expressions correctly.

Evaluating Expressions

Evaluating an expression means simplifying it to a single value by applying mathematical operations and rules. For absolute value expressions, this involves removing the absolute value bars by determining the non-negative equivalent.