Math Problem Statement
Solution
The problem is asking for the distance between two points, and , on the number line.
Solution:
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Identify the positions of and on the number line:
- is located at .
- is located at .
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Calculate the distance between and by finding the absolute difference between these two values:
Thus, the distance between and is .
Would you like a deeper explanation of how distances are calculated on a number line, or do you have any questions?
Here are five related questions to expand your understanding:
- How would the distance change if was at and remained at ?
- What is the distance between two points, and , on the number line?
- If is shifted 3 units to the right, where would it be, and what would the new distance to be?
- How is calculating distance on a number line similar to finding the absolute value of a difference?
- What is the relationship between the distance formula and absolute value?
Tip: When calculating distance on a number line, always take the absolute value of the difference to ensure a positive result.
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Math Problem Analysis
Mathematical Concepts
Number Line
Distance Calculation
Absolute Value
Formulas
Distance = | x1 - x2 |
Theorems
Absolute Value Distance on Number Line
Suitable Grade Level
Grades 5-7
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