Math Problem Statement
Solution
To solve the problem, we first need to identify the positions of points , , and on the number line provided.
Based on the image, the points are positioned as follows:
- is at
- is at
- is at
Now, the problem asks for the location of a point that is of the distance from to .
Step-by-Step Solution:
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Calculate the distance from to :
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Find of the distance:
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Determine the position: Since we are moving from to , starting at and moving to the right by :
So, the point is located at , which is approximately .
Final Answer:
The location of the point that is of the distance from to is .
Would you like more details on this solution, or do you have any specific questions?
Further Exploration Questions:
- What would be the location if the point was of the distance from to ?
- How would the answer change if point was at instead of ?
- Can you find the point that is of the distance from to ?
- What is the midpoint between points and ?
- How would you calculate a point that is 50% further from than point ?
Tip: Always use a number line to visualize problems involving distances and fractions for more clarity.
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Math Problem Analysis
Mathematical Concepts
Number Line
Distance Calculation
Fractions
Formulas
Distance Formula: Distance = Point2 - Point1
Fraction of Distance: Fraction * Distance
Theorems
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Suitable Grade Level
Grades 6-8