Math Problem Statement
Point X starts at -3 on a horizontal number line. Point X goes through the following moves: -3, +10, -6, +4. What is the final position of Point X on the number line?
Solution
We are given that Point X starts at -3 on a horizontal number line and goes through the following moves:
- Move 1: -3 (Move 3 units left)
- Move 2: +10 (Move 10 units right)
- Move 3: -6 (Move 6 units left)
- Move 4: +4 (Move 4 units right)
Let's calculate the final position step by step:
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Starting at -3, subtract 3:
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Then, add 10:
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Subtract 6:
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Finally, add 4:
So, the final position of Point X is at 2 on the number line.
Would you like further details on the steps, or have any other questions?
Here are 5 related questions you might find interesting:
- What is the difference between moving left and right on a number line?
- How can we represent movements algebraically?
- How can we visualize negative and positive numbers using real-world examples?
- How would the final result change if Point X started at 0?
- How does the order of operations affect the final position in such problems?
Tip: When working with number lines, always pay attention to the direction of movement—left for subtraction and right for addition!
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Math Problem Analysis
Mathematical Concepts
Number Line
Addition
Subtraction
Formulas
Initial Position + Move 1 + Move 2 + Move 3 + Move 4 = Final Position
Theorems
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Suitable Grade Level
Grades 3-5