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QUESTION IMAGE

the number line shows an unknown number, z. number line with 0, z (betw…

Question

the number line shows an unknown number, z.
number line with 0, z (between 0 and 1), and 1 marked
is -z positive or negative?

Explanation:

Step1: Determine sign of z

From number line, \( 0 < z < 1 \), so \( z \) is positive.

Step2: Analyze -z

Multiplying positive \( z \) by -1 (i.e., \( -z = (-1)\times z \)) gives a negative number (since negative times positive is negative).

Answer:

\(-z\) is negative.