Which number line shows the numbers −0.7, 0, and 1

Question

Which number line shows the numbers −0.7, 0, and 1
4
 plotted correctly?

A number line going from negative 1 to positive 1 in increments of 1. There are 2 equal spaces between each number. Points are between negative 1 and the first mark to the right of negative 1, at 0, and half-way between 0 and 1.
A number line going from negative 1 to positive 1 in increments of 1. There are 2 equal spaces between each number. Points are between negative 1 and the first mark, at 0, and half-way between 0 and the first mark to the right of 0.
A number line going from negative 1 to positive 1 in increments of 1. There are 2 equal spaces between each number. Points are half-way between the mark to the right of negative 1 and 0, at 0, and half-way between the mark to the right of 0 and 1.

GPT-4o mini · Answer

To correctly plot the numbers $-0.7$, $0$, and $1$ on a number line that ranges from $-1$ to $1$, we need to consider the positions of these numbers in relation to each other. 1. The number $0$ is at the center of the number line, between $-1$ and $1$. 2. The number $1$ is at the right end of the number line. 3. The number $-0.7$ is slightly more than halfway between $-1$ and $0$. It would be positioned before the midpoint between $-1$ and $0$ (which is at $-0.5$) but after $-1$. Now let's break down the options provided: - **Option : Points are placed between $-1$ and the first mark to the right of $-1$ (which would be close to $-0.9$), at $0$, and halfway between $0$ and $1$ (which would be $0.5$). This option does not correctly plot $-0.7$. - **Option B**: Points are placed between $-1$ and the first mark (which would be at $-0.9$), at $0$, and halfway between $0$ and the first mark to the right of $0$ (which is $0.5$). This option also does not correctly plot $-0.7$. - **Option C**: Points are positioned halfway between the mark to the right of $-1$ (which would be at $-0.9$) and $0$ (correctly placing $-0.7$), at $0$, and halfway between the mark to the right of $0$ and $1$ (which is also $0.5$). This option correctly places all three numbers. Thus, **Option C** shows the numbers $-0.7$, $0$, and $1$ plotted correctly.