Show all values on a number line that have an absolute value of 2.5.
Understand the Problem
The question asks us to identify the numbers on a number line whose distance from zero is 2.5. This means we need to find the numbers that are 2.5 units away from zero in both the positive and negative directions.
Answer
$2.5$ and $-2.5$
Answer for screen readers
$2.5$ and $-2.5$
Steps to Solve
- Positive direction
Move 2.5 units to the right of zero. This gives us the first number.
$0 + 2.5 = 2.5$
- Negative direction
Move 2.5 units to the left of zero. This gives us the second number.
$0 - 2.5 = -2.5$
- Final Answer
The two numbers are 2.5 and -2.5.
$2.5$ and $-2.5$
More Information
The absolute value of a number is its distance from zero. So, $|2.5| = 2.5$ and $|-2.5| = 2.5$.
Tips
A common mistake is to only find the positive value (2.5) and forget about the negative value (-2.5). Remember that distance is always non-negative, so there are two numbers that are 2.5 units away from zero.
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