Math Problem Statement

if i moved to -4 on the number line and then moved its additive inverse in the opposite direction, where would i be on the number line?

Solution

If you move to -4 on the number line, you are at the position -4.

The additive inverse of -4 is +4, meaning it has the opposite sign. So, if you move 4 units in the opposite direction (to the right), you would land at:

4+4=0-4 + 4 = 0

Thus, you would be at 0 on the number line.

Would you like further details or have any questions about this?

Here are five related questions for further exploration:

  1. What is the additive inverse of a positive number, like +7?
  2. How does subtraction work on a number line in relation to the additive inverse?
  3. What happens if you add two numbers that are additive inverses of each other?
  4. How can additive inverses help solve equations involving negative numbers?
  5. Can you show an example of using the number line for combining both positive and negative numbers?

Tip: The additive inverse of any number is what brings it back to zero when added together.

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Math Problem Analysis

Mathematical Concepts

Number Line
Additive Inverse
Basic Arithmetic

Formulas

Additive Inverse: -a + a = 0

Theorems

Additive Inverse Theorem: The sum of a number and its additive inverse is zero

Suitable Grade Level

Grades 4-6