Question

real numbers
plotting rational numbers on a number line
0/5
español
plot the numbers $-\frac{1}{4}$ and $\frac{7}{4}$ on the number line below.
number line from -3 to 3 with ticks at each integer and smaller ticks between them

Explanation:

Step1: Analyze \(-\frac{1}{4}\)

The fraction \(-\frac{1}{4}\) is negative, so it lies between \(-1\) and \(0\). The distance from \(0\) is \(\frac{1}{4}\), so we move \(\frac{1}{4}\) unit to the left of \(0\) on the number line.

Step2: Analyze \(\frac{7}{4}\)

First, convert \(\frac{7}{4}\) to a mixed number: \(\frac{7}{4}=1\frac{3}{4}\). This number is positive, so it lies between \(1\) and \(2\). The distance from \(1\) is \(\frac{3}{4}\), so we move \(\frac{3}{4}\) unit to the right of \(1\) on the number line.

Answer:

To plot \(-\frac{1}{4}\): Locate the point \(\frac{1}{4}\) unit to the left of \(0\) (between \(-1\) and \(0\)).
To plot \(\frac{7}{4}\) (or \(1\frac{3}{4}\)): Locate the point \(\frac{3}{4}\) unit to the right of \(1\) (between \(1\) and \(2\)).