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:

  1. Starting at -3, subtract 3:
    33=6-3 - 3 = -6

  2. Then, add 10:
    6+10=4-6 + 10 = 4

  3. Subtract 6:
    46=24 - 6 = -2

  4. Finally, add 4:
    2+4=2-2 + 4 = 2

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:

  1. What is the difference between moving left and right on a number line?
  2. How can we represent movements algebraically?
  3. How can we visualize negative and positive numbers using real-world examples?
  4. How would the final result change if Point X started at 0?
  5. 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