Math Problem Statement
Solution
Here’s the solution to the questions in the image:
Mild Section
-
-5 + 3
- Using the number line: Start at -5 and move 3 units to the right.
- Result: -2
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5 + (-6)
- Using the number line: Start at 5 and move 6 units to the left.
- Result: -1
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-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
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-3.5 + 8.4
- Using the number line: Start at -3.5 and move 8.4 units to the right.
- Result: 4.9
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9.45 - (-3.41)
- Rewrite as 9.45 + 3.41.
- Add the numbers:
- Result: 12.86
Spicy Section
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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:
- Mr. P still owes: $4.71
- Half of $9.42 is:
Would you like a detailed explanation for any of these problems? Let me know!
Related Questions:
- How can you represent adding and subtracting integers visually on a number line?
- What’s the significance of turning subtraction into addition when dealing with integers?
- How do you handle decimal operations in subtraction problems like Medium #5?
- Why does subtracting a negative turn into addition, and how does it apply in real-world scenarios?
- 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
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