Question

plot -20 on the number line below. state its distance from zero, and then find |-20|. click on the graph to plot a point. click a point to delete it. -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 answer attempt 1out of 2 distance from zero = \boxed{} |-20| = \boxed{}

Explanation:

Step1: Understand distance on number line

The distance of a number \( x \) from zero on the number line is the absolute value of \( x \), \( |x| \). For \( x = -20 \), the distance from zero is the number of units between \( -20 \) and \( 0 \). Since distance is non - negative, we calculate \( | - 20| \) or find the difference \( |0-(-20)|=|20| = 20 \).

Step2: Calculate absolute value

The absolute value of a negative number \( -a \) (where \( a>0 \)) is \( a \). So for \( |-20| \), by the definition of absolute value, \( |-20|=20 \). And the distance of \( - 20 \) from zero is also 20 because distance is a non - negative quantity representing the separation between two points on the number line.

Answer:

Distance from zero \( = 20 \)
\(|-20|=20\)