객관식
Rewrite the expression using exponent rules.
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0. Review of Algebra
Exponents
1:14분문제 1
교과서 질문
In Exercises 1–12, find each absolute value. |-7|
검증된 단계별 안내1
Understand that the absolute value of a number is its distance from zero on the number line, regardless of direction.
Recognize that absolute value is always non-negative.
Identify the given number inside the absolute value symbols: \(-7\).
Since \(-7\) is negative, the absolute value will be the positive version of this number.
Therefore, the absolute value of \(-7\) is the positive number that is 7 units away from zero.
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1m주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Absolute Value
Absolute value is a mathematical function that measures the distance of a number from zero on the number line, regardless of direction. It is denoted by two vertical bars surrounding the number, such as |x|. For any real number x, the absolute value is defined as |x| = x if x is greater than or equal to zero, and |x| = -x if x is less than zero.
추천 영상:
7:12
Parabolas as Conic Sections Example 1
Properties of Absolute Value
The absolute value function has several important properties. It is always non-negative, meaning |x| ≥ 0 for any real number x. Additionally, the absolute value of a product is the product of the absolute values, |xy| = |x||y|, and the absolute value of a sum can be less than or equal to the sum of the absolute values, |x + y| ≤ |x| + |y|, known as the triangle inequality.
추천 영상:
5:36Change of Base Property
Evaluating Absolute Value
To evaluate the absolute value of a number, you determine its distance from zero. For example, to find |-7|, you recognize that -7 is 7 units away from zero on the number line. Therefore, |-7| equals 7, illustrating that absolute value transforms negative numbers into their positive counterparts while leaving positive numbers unchanged.
추천 영상:
5:14Evaluate Logarithms
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