Math Problem Statement
Solution
The question asks to identify which number line correctly models the subtraction and also to compute the result of .
Step 1: Interpret the problem
The subtraction can be interpreted as starting at 12 on the number line and moving 18 units to the left, since subtracting a number moves left on the number line.
Step 2: Analyze the number lines
- First number line: The arrow starts at and moves to the right, indicating an addition or a positive change.
- Second number line: The arrow starts at and moves to the left, indicating a subtraction or a negative change.
Since involves moving to the left, the second number line is the correct model for this subtraction.
Step 3: Perform the subtraction
The result of the subtraction is .
Conclusion
- The second number line correctly models .
- The result of the subtraction .
Would you like more details or have any further questions?
Here are five related questions:
- What does subtracting a larger number from a smaller number represent?
- How do you graphically represent addition on a number line?
- What are the rules for subtracting negative numbers?
- How can number lines help visualize absolute value?
- What is the significance of zero on a number line during subtraction?
Tip: When subtracting numbers, always check if you're moving left (subtracting) or right (adding) on a number line to visualize the result.
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Math Problem Analysis
Mathematical Concepts
Number Line
Subtraction
Negative Numbers
Formulas
Subtraction: a - b = c
Theorems
Subtraction on a number line: move left when subtracting
Suitable Grade Level
Grade 3-4