In Exercises 103–110, insert either <, >, or = in the shaded area to make a true statement. |−20| □ |−50|

검증된 단계별 안내

Recall that the absolute value of a number is its distance from zero on the number line, always expressed as a non-negative value. So, for any number $a$, $|a| = \text{distance from zero}$.

Calculate the absolute value of the first number: $|-20|$. Since $-20$ is 20 units away from zero, $|-20| = 20$.

Calculate the absolute value of the second number: $|-50|$. Since $-50$ is 50 units away from zero, $|-50| = 50$.

Compare the two absolute values: $20$ and $50$. Determine which is greater, or if they are equal.

Based on the comparison, insert the correct symbol ($<$, $>$, or $=$) between $| -20 |$ and $| -50 |$ to make a true statement.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

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, |−20| equals 20, and |−50| equals 50, regardless of the original sign.

Comparison of Numbers

Comparing numbers involves determining their relative size using symbols like <, >, or =. After evaluating absolute values, you compare the resulting positive numbers to decide which inequality symbol correctly represents their relationship.

Properties of Inequalities

Inequalities express the order between two values. Understanding that if one number is larger than another, the correct symbol is >, and if smaller, <, helps in correctly inserting the inequality symbol between expressions.