The distance from zero to each elevation on the number line is the absolute value of that elevation.
Here's a breakdown:
-
Number Line: A number line represents numbers visually, with zero at the center. Numbers to the right of zero are positive, and numbers to the left are negative.
-
Elevation: In this context, "elevation" refers to the numerical value or position of a point on the number line. This includes both positive and negative numbers.
-
Distance: Distance is always a non-negative value. It represents how far apart two points are, regardless of direction.
-
Absolute Value: The absolute value of a number is its distance from zero, without regard to direction. It is denoted by vertical bars around the number (e.g., |x|). For example, |-5| = 5, and |5| = 5.
Examples:
- The distance from zero to +3 on the number line is |+3| = 3.
- The distance from zero to -7 on the number line is |-7| = 7.
- The distance from zero to 0 on the number line is |0| = 0.
In summary, to find the distance from zero to any point on the number line, you take the absolute value of the number representing that point. This ensures the distance is always a positive or zero value.
