Where is 1/4 on the number line?
Understand the Problem
The question is asking for the location of the fraction 1/4 on a number line, which involves understanding how to represent fractions graphically.
Answer
The fraction $ \frac{1}{4} $ is located at the first division on the number line between 0 and 1.
Answer for screen readers
The location of the fraction $ \frac{1}{4} $ on a number line is one-fourth of the distance from 0 to 1.
Steps to Solve
- Identify the endpoints of the number line
The number line consists of a range of numbers; for this problem, we can consider standard endpoints such as 0 and 1.
- Divide the segment between 0 and 1
Since we are locating the fraction $ \frac{1}{4} $, we need to divide the segment between these endpoints into four equal parts because the denominator of the fraction indicates how many equal parts the whole is divided into.
- Mark the divisions
The divisions between 0 and 1 will be:
- The first division will be at $ \frac{1}{4} $,
- The second division will be at $ \frac{2}{4} = \frac{1}{2} $,
- The third division will be at $ \frac{3}{4} $,
- The last point will be at 1.
- Locate $ \frac{1}{4} $ on the number line
On the number line, $ \frac{1}{4} $ is the first division from 0, which is one-fourth of the way from 0 to 1.
The location of the fraction $ \frac{1}{4} $ on a number line is one-fourth of the distance from 0 to 1.
More Information
The fraction $ \frac{1}{4} $ represents one part out of four equal parts of a whole. Graphically, it is visible when the number line is divided into parts, with this fraction positioned at the first mark.
Tips
- Confusing the fraction with its decimal representation: Ensure that you properly represent $ \frac{1}{4} $ on the number line without confusing it with 0.25.
- Incorrectly marking divisions: When dividing the segment, ensure all parts are equal; each part should be exactly the same length.
