Math Problem Statement

Which number line models 12 - 18?

Solution

The question asks to identify which number line correctly models the subtraction 121812 - 18 and also to compute the result of 121812 - 18.

Step 1: Interpret the problem

The subtraction 121812 - 18 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

  1. First number line: The arrow starts at 1212 and moves to the right, indicating an addition or a positive change.
  2. Second number line: The arrow starts at 1212 and moves to the left, indicating a subtraction or a negative change.

Since 121812 - 18 involves moving to the left, the second number line is the correct model for this subtraction.

Step 3: Perform the subtraction

1218=612 - 18 = -6 The result of the subtraction is 6-6.

Conclusion

  • The second number line correctly models 121812 - 18.
  • The result of the subtraction 1218=612 - 18 = -6.

Would you like more details or have any further questions?

Here are five related questions:

  1. What does subtracting a larger number from a smaller number represent?
  2. How do you graphically represent addition on a number line?
  3. What are the rules for subtracting negative numbers?
  4. How can number lines help visualize absolute value?
  5. 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