Final Answer:
The equation n = 61/64 - 3/8 can be used to find the distance between 3/8 and 61/64 on the number line.
Step-by-step explanation:
The distance between two points on a number line represents the absolute difference between their coordinates. In this case, the points of interest are 3/8 and 61/64.
There are multiple ways to express the distance between these points using equations:
1- Absolute difference:
The most straightforward approach is to use the absolute value function:
n = |61/64 - 3/8|
This equation calculates the absolute difference between the two coordinates, ensuring a positive value regardless of the order of subtraction.
2- Direct subtraction:
If we know that 61/64 is greater than 3/8, we can simply subtract the smaller coordinate from the larger one:
n = 61/64 - 3/8
This equation directly calculates the distance between the points, assuming the correct order of subtraction.
Both equations are valid and will result in the same answer: n = 0.578125.
Therefore, n = 61/64 - 3/8 or n = |61/64 - 3/8| can be used to find the distance between 3/8 and 61/64 on the number line.