Answered

IDNLearn.com: Where your questions are met with thoughtful and precise answers. Our platform is designed to provide quick and accurate answers to any questions you may have.

Which statement is true about the value of [tex]\(|-14|\)[/tex]?

A. [tex]\(|-14| = -14\)[/tex]
B. [tex]\(|-14| \ \textless \ 14\)[/tex]
C. It is the distance between -14 and 0 on the number line.
D. It is the distance between -14 and 14 on the number line.

Sagot :

GinnyAnsweridn
To determine which statement is true about the value of [tex]\( |-14| \)[/tex], let's break down the problem step by step.

1. Calculate the Absolute Value [tex]\( |-14| \)[/tex]:
- The absolute value of a number is defined as its distance from 0 on the number line without considering the direction.
- Mathematically, [tex]\( |-14| = 14 \)[/tex].

2. Evaluate the Given Statements:
- Statement 1: [tex]\( |-14| = -14 \)[/tex]:
- This statement is false because the absolute value of -14 is 14, not -14.

- Statement 2: [tex]\( |-14| < 14 \)[/tex]:
- This statement is false because [tex]\( |-14| = 14 \)[/tex] which is equal to 14, not less than 14.

- Statement 3: It is the distance between -14 and 0 on the number line.
- This statement is true. The distance between -14 and 0 is [tex]\( |-14| \)[/tex], which is 14.

- Statement 4: It is the distance between -14 and 14 on the number line.
- To find the distance between -14 and 14, we calculate [tex]\(|-14 - 14|\)[/tex].
- This simplifies to [tex]\(|-28|\)[/tex], which equals 28.
- Thus, the statement is false as the distance is actually 28.

3. Conclusion:
- The only true statement from the given options is:
- "It is the distance between -14 and 0 on the number line."

Therefore, the true statement is the third one.
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.