Question

how can you compare -6 and 2 using a number line? complete the statement.
-6 is to the left of 2 on the number line. that means -6 < 2.
how does a number line help you compare |-6| and |2|?
the distance between -6 and 0 is? than the distance between 2 and 0.
that means |-6|? |2|.

Explanation:

Step1: Calculate the distance between -6 and 0

The distance between a number \(x\) and 0 on the number line is \(|x|\). For \(x = - 6\), \(|-6|=6\).

Step2: Calculate the distance between 2 and 0

For \(x = 2\), \(|2| = 2\).

Step3: Compare the two distances

Since \(6>2\), the distance between -6 and 0 is greater than the distance between 2 and 0. So \(|-6|>|2|\).

Answer:

The distance between -6 and 0 is greater than the distance between 2 and 0. That means \(|-6|> |2|\).