Math Problem Statement

Find the difference in the equation below. Use the number line to help you find the difference. Let's represent the subtraction problem on the number line. Start by plotting -10 on the number line. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

-10 - 2 = ?

Solution

To solve the problem 102-10 - 2, we can represent it on the number line.

  1. Start at 10-10: Plot this point on the number line.
  2. Subtract 2: Subtraction means moving two steps to the left on the number line. From 10-10, if you move two steps left, you land at 12-12.

Thus, the result is:

102=12-10 - 2 = -12

Visualization on the number line:

  1. Start at 10-10.
  2. Move left by two units:
    • First step: 11-11
    • Second step: 12-12

Would you like further clarification or a detailed drawing to represent this subtraction on the number line? 😊


Related Questions:

  1. What happens when subtracting a negative number instead, e.g., 10(2)-10 - (-2)?
  2. How would this look if we were adding 2 instead, i.e., 10+2-10 + 2?
  3. Can you explain subtraction using absolute values to confirm the result?
  4. How do we represent subtraction with larger or smaller negative numbers on the number line?
  5. If we change 10-10 to a positive number, say 10210 - 2, what would the difference be?

Tip:

When subtracting on a number line, always remember: move left for subtraction and right for addition!

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Math Problem Analysis

Mathematical Concepts

Number Line
Subtraction
Negative Numbers

Formulas

a - b = c (basic subtraction rule)

Theorems

Number line subtraction rule: move left for subtraction

Suitable Grade Level

Grades 5-7