Question

which number could be represented by point m on the number line?
number line with m between -1 and 0, closer to -1
a -0.3
b $-\frac{1}{2}$
c -0.7
d $-1\frac{3}{10}$

Explanation:

Step1: Analyze the position of M

Point M is between -1 and 0, closer to -1. Let's convert all options to decimals:

• Option A: $-0.3$ (between -1 and 0, but closer to 0)
• Option B: $-\frac{1}{2} = -0.5$ (midway between -1 and 0)
• Option C: $-0.7$ (between -1 and 0, closer to -1)
• Option D: $-1\frac{3}{10} = -1.3$ (less than -1, so left of -1)

Step2: Compare with M's position

M is between -1 and 0, and closer to -1. Among the options between -1 and 0, -0.7 is closer to -1 than -0.5 or -0.3. And -1.3 is left of -1, so not possible.

Answer:

C. -0.7