Question

plot the numbers $-\frac{3}{4}$ and $\frac{7}{4}$ on the number line below.
number line from -3 to 3 with ticks at -3, -2, -1, 0, 1, 2, 3 and smaller ticks in between

Explanation:

Step1: Analyze number line intervals

Each integer is split into 4 equal parts, so each mark = $\frac{1}{4}$.

Step2: Locate $-\frac{3}{4}$

From 0, move left 3 marks: $0 - 3\times\frac{1}{4}=-\frac{3}{4}$.

Step3: Locate $\frac{7}{4}$

$\frac{7}{4}=1+\frac{3}{4}$, so from 1, move right 3 marks: $1 + 3\times\frac{1}{4}=\frac{7}{4}$.

Answer:

• $-\frac{3}{4}$ is positioned 3 equal intervals to the left of 0 (between -1 and 0, 1 interval away from -1).
• $\frac{7}{4}$ is positioned 3 equal intervals to the right of 1 (between 1 and 2, 1 interval away from 2).

(Visual placement: On the given number line, mark $-\frac{3}{4}$ at the third tick left of 0, and $\frac{7}{4}$ at the third tick right of 1.)