To determine the distance between the points [tex]\( \frac{1}{4} \)[/tex] and [tex]\( \frac{1}{2} \)[/tex] on the number line, follow these steps:
1. Identify the points on the number line:
- The first point is [tex]\( \frac{1}{4} \)[/tex].
- The second point is [tex]\( \frac{1}{2} \)[/tex].
2. Convert the fractions to decimal form:
- [tex]\( \frac{1}{4} \)[/tex] is equal to 0.25.
- [tex]\( \frac{1}{2} \)[/tex] is equal to 0.5.
3. Calculate the absolute difference between the two points:
- Subtract the smaller number from the larger number to find the difference.
[tex]\[
0.5 - 0.25 = 0.25
\][/tex]
4. Interpret the result:
- The distance between [tex]\( \frac{1}{4} \)[/tex] and [tex]\( \frac{1}{2} \)[/tex] on the number line is 0.25.
Thus, the points [tex]\( \frac{1}{4} \)[/tex] and [tex]\( \frac{1}{2} \)[/tex] are 0.25 units apart on the number line.
