Evaluate each expression. See Example 5. -|-2|

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 \(x < 0\).

Start by evaluating the inner absolute value: calculate \(|-2|\). Since \(-2\) is negative, its absolute value is \(-(-2)\).

Simplify the inner absolute value: \(|-2| = 2\).

Now, evaluate the outer absolute value: \(|2|\). Since \(2\) is already positive, the absolute value remains \(2\).

Conclude that the value of the expression \(-|-2|\) is the negative of the inner absolute value, so it equals \(-2\).

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, |−2| equals 2 because −2 is two units away from zero.

Evaluating Expressions with Absolute Values

When evaluating expressions involving absolute values, first compute the absolute value part, then apply any remaining operations. For instance, in -|−2|, find |−2| = 2, then apply the negative sign to get -2.

Order of Operations

The order of operations dictates the sequence in which parts of an expression are evaluated. Absolute value is treated like parentheses and should be evaluated before applying multiplication, division, addition, or subtraction.