CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The distance on a number line from a number to 0 is the _________ of the number.

검증된 단계별 안내

Understand that the problem is asking for a term related to the distance of a number from zero on a number line.

Recall that the distance from zero to any number on the number line is always a non-negative value.

This concept is known as the 'absolute value' of the number, which measures how far the number is from zero regardless of direction.

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 \(x < 0\).

Therefore, the correct term to fill in the blank is 'absolute value'.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Absolute Value

Absolute value represents the distance of a number from zero on the number line, regardless of direction. It is always non-negative and is denoted by vertical bars, e.g., |x|. For example, |−3| = 3 and |5| = 5.

Number Line

A number line is a visual representation of real numbers arranged in order on a straight line, with zero at the center. Positive numbers lie to the right of zero, and negative numbers lie to the left, helping to understand concepts like distance and magnitude.

Distance in Mathematics

Distance refers to the measure of how far apart two points are. On a number line, the distance between a number and zero is the absolute value of that number, reflecting the magnitude without considering direction.