Math Problem Statement

Write an addition or subtraction equation to describe the diagram showing movement from 8 to 4 and then from 4 to -4 on a vertical number line.

Solution

The diagram shows a vertical number line with an arrow starting at 8 and pointing downwards to 4. Then, another arrow extends from 4 down to -4.

To write an equation for this, let's break it down into two steps:

  1. The first arrow represents subtraction, moving from 8 to 4. This is a drop of 4 units, so: 84=48 - 4 = 4

  2. The second arrow represents moving from 4 to -4, which is a drop of 8 units, so: 48=44 - 8 = -4

Combining both steps into a single equation: 848=48 - 4 - 8 = -4

Alternatively, if you wanted to write this using addition: 8+(4)+(8)=48 + (-4) + (-8) = -4

Would you like more details on any part of this? Here are some related questions:

  1. How do you convert subtraction to addition with negative numbers?
  2. What are the rules for adding and subtracting integers?
  3. How can you represent similar movements on a horizontal number line?
  4. How does this apply to real-life scenarios like temperature changes?
  5. Can you always combine several steps into one equation?

Tip: When adding or subtracting integers, always pay attention to the direction (positive or negative) and magnitude of movement on the number line.

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Math Problem Analysis

Mathematical Concepts

Subtraction
Addition
Number Line
Integer Operations

Formulas

8 - 4 - 8 = -4
8 + (-4) + (-8) = -4

Theorems

-

Suitable Grade Level

Grades 6-7