Math Problem Statement

Which subtraction expression does the number line model show?

Which subtraction expression does the number line model show?

Solution

The number line provided shows two arrows pointing towards the left, indicating subtraction. Let's break down what we see:

  1. Starting Position of First Arrow: The longer arrow starts at -1 and moves leftward to -13. This means we are subtracting a value from -1 to get to -13.

  2. First Subtraction Expression: From -1 to -13, the difference is 12 units. So, this models the subtraction expression: 112=13-1 - 12 = -13

  3. Starting Position of Second Arrow: The shorter arrow starts at -1 and moves leftward to -5. This represents a different subtraction operation.

  4. Second Subtraction Expression: From -1 to -5, the difference is 4 units. So, this models the subtraction expression: 14=5-1 - 4 = -5

Hence, the number line models two subtraction expressions:

  1. 112=13-1 - 12 = -13
  2. 14=5-1 - 4 = -5

Would you like more details on how to interpret the number line or explore related topics?

Here are some related questions for further exploration:

  1. How do you interpret addition on a number line?
  2. What is the significance of direction in number line operations?
  3. Can subtraction on a number line result in positive numbers?
  4. How would the number line change if we used positive numbers?
  5. What other operations can be visualized using a number line?

Tip: When subtracting on a number line, always remember that moving to the left decreases the value, while moving to the right increases it.

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Math Problem Analysis

Mathematical Concepts

Number line
Subtraction
Negative numbers

Formulas

Subtraction expression: starting position - difference = end position

Theorems

Subtraction on a number line

Suitable Grade Level

Grades 5-7