Certainly! Let's break down the concept step by step.
When we talk about numbers being at the same distance from zero, we are referring to their position on the number line relative to zero. For example, the number +5 and -5 are both 5 units away from zero but in opposite directions.
Here's a detailed explanation:
1. Distance from Zero: The distance a number is from zero is referred to as its absolute value. The absolute value of a number is always a non-negative number.
2. Example: Consider the numbers +3 and -3:
- The number +3 is 3 units away from zero.
- The number -3 is also 3 units away from zero.
3. Absolute Value Definition: Therefore, both +3 and -3 share the same absolute value, which is 3.
So, based on this understanding:
- Numbers that are the same distance from zero indeed share the same absolute value.
- The sign of the numbers would be different (positive versus negative).
- The numbers can be considered both integers and rational numbers, but those terms do not specifically reflect the concept of distance from zero.
Thus, the correct detailed answer to the question is:
Two numbers that are the same distance from zero have the same Absolute Value.
