Question

into how many equal parts is this number line divided? a 1 b 2 c 3 d 4

Explanation:

Step1: Analyze the number line markings

The number line has marks at \(0\), \(\frac{1}{4}\), \(\frac{2}{4}\), \(\frac{3}{4}\), \(\frac{4}{4}\). The distance between consecutive marks (e.g., from \(0\) to \(\frac{1}{4}\), \(\frac{1}{4}\) to \(\frac{2}{4}\), etc.) is \(\frac{1}{4}\).

Step2: Count the equal parts

From \(0\) to \(\frac{4}{4}\) (which is \(1\) unit), the number of equal parts with length \(\frac{1}{4}\) is determined by how many \(\frac{1}{4}\) fit into \(1\). Since \(\frac{4}{4}=1\), and each part is \(\frac{1}{4}\), the number of equal parts is \(4\) (because \(1\div\frac{1}{4} = 4\), or by counting the intervals between the marks: from \(0\) to \(\frac{1}{4}\) is 1 part, \(\frac{1}{4}\) to \(\frac{2}{4}\) is the second, \(\frac{2}{4}\) to \(\frac{3}{4}\) the third, \(\frac{3}{4}\) to \(\frac{4}{4}\) the fourth). Also, looking at the denominators, the fractions have denominator \(4\), indicating division into \(4\) equal parts.

Answer:

D. 4