Representing Rational Numbers on a Number Line
- 5/2: To represent 5/2 on a number line, we first divide the number line into equal parts. Since 5/2 is equivalent to 2.5, we locate the point 2.5 on the number line.
- 3/4: To represent 3/4 on a number line, we divide the number line into four equal parts. We locate the point 3/4 or 0.75 on the number line.
- 1/6: To represent 1/6 on a number line, we divide the number line into six equal parts. The point representing 1/6 is located at 1/6 or approximately 0.167 on the number line.
- 11/6: To represent 11/6 on a number line, we first convert it to a mixed number, which is 1 5/6. We locate the point 1 on the number line, then move 5/6 units to the right to represent 11/6.
- 14/3: To represent 14/3 on a number line, we first convert it to a mixed number, which is 4 2/3. We locate the point 4 on the number line, then move 2/3 units to the right to represent 14/3.
By following these steps and dividing the number line into appropriate parts, we can accurately represent the given rational numbers on the number line. This visual representation helps in understanding the relative positions and magnitudes of the numbers in relation to each other.