Question

the number line shows an unknown number, w.
is -w positive or negative?
positive negative

Explanation:

Step1: Determine the sign of \( w \)

From the number line, \( w \) is between \(-1\) and \( 0 \), so \( -1 < w < 0 \). This means \( w \) is a negative number (since it's less than \( 0 \)).

Step2: Analyze the sign of \( -w \)

If \( w \) is negative, let's represent \( w \) as \( -a \) where \( a \) is a positive number (because a negative number can be written as the negative of a positive number). Then \( -w = -(-a) \). Using the rule of multiplying two negatives (which gives a positive), \( -(-a)=a \). Since \( a \) is positive, \( -w \) is positive.

Answer:

positive