Math Problem Statement

Directions: Use a number line to add and subtract integers. Hint: every subtraction sentence can be written as an addition sentence. Solve the given problems in Mild, Medium, and Spicy sections.

Solution

Here’s the solution to the questions in the image:


Mild Section

  1. -5 + 3

    • Using the number line: Start at -5 and move 3 units to the right.
    • Result: -2
  2. 5 + (-6)

    • Using the number line: Start at 5 and move 6 units to the left.
    • Result: -1
  3. -18 - (-23)

    • Rewrite as -18 + 23 (since subtracting a negative is equivalent to addition).
    • Using the number line: Start at -18 and move 23 units to the right.
    • Result: 5

Medium Section

  1. -3.5 + 8.4

    • Using the number line: Start at -3.5 and move 8.4 units to the right.
    • Result: 4.9
  2. 9.45 - (-3.41)

    • Rewrite as 9.45 + 3.41.
    • Add the numbers:
      9.45+3.41=12.869.45 + 3.41 = 12.86
    • Result: 12.86

Spicy Section

  • Problem Description:
    Mr. P owes $9.42. If Mr. Kovalik demands half of what he owes, how much does Mr. P still owe?

    Solution:

    • Half of $9.42 is:
      9.422=4.71\frac{9.42}{2} = 4.71
    • Mr. P still owes: $4.71

Would you like a detailed explanation for any of these problems? Let me know!


Related Questions:

  1. How can you represent adding and subtracting integers visually on a number line?
  2. What’s the significance of turning subtraction into addition when dealing with integers?
  3. How do you handle decimal operations in subtraction problems like Medium #5?
  4. Why does subtracting a negative turn into addition, and how does it apply in real-world scenarios?
  5. How do you solve word problems like the "Spicy" question systematically?

Tip: Always rewrite subtraction problems as equivalent addition problems to simplify calculations!

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Math Problem Analysis

Mathematical Concepts

Integer operations
Number line visualization
Addition and subtraction with decimals

Formulas

a - b = a + (-b)
Half of a number: x / 2

Theorems

Properties of integers
Addition and subtraction principles

Suitable Grade Level

Grades 5-7