Math Problem Statement
Answer
Solution
Let's solve the mathematical problems shown in the image:
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Problem 3:
- Subtraction of a negative number is equivalent to addition.
- Solution:
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Problem 6:
- Dividing a negative number by a positive number results in a negative number.
- Solution:
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Problem 9:
- Multiplying two negative numbers results in a positive number.
- Solution:
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Problem 12:
- Dividing two negative numbers results in a positive number.
- Solution:
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Problem 15:
- Dividing a positive number by a negative number results in a negative number.
- Solution:
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Problem 18:
- Subtraction of a negative number is equivalent to addition.
- Solution:
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Problem 21:
- Subtraction of a negative number is equivalent to addition.
- Solution:
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Problem 24:
- Adding two negative numbers results in a negative number.
- Solution:
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Problem 27:
- Dividing a negative number by a positive number results in a negative number.
- Solution:
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Problem 30:
- Adding a negative number to a negative result increases the magnitude of the negative result.
- Solution:
Would you like details on any of the specific calculations or have any other questions about these problems?
Here are some additional questions you might consider:
- What rules are used when multiplying and dividing with negative numbers?
- How do you solve equations involving both addition and subtraction of negative numbers?
- What are the implications of dividing by a negative number?
- Can you provide examples of real-world applications where negative numbers are used?
- How might you check your work in these problems to ensure accuracy?
Tip: Remember that the product of two negative numbers is always positive, a useful rule to keep in mind when working with negative values in equations.
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Math Problem Analysis
Mathematical Concepts
Integer Operations
Addition and Subtraction of Integers
Multiplication and Division of Integers
Formulas
a - (-b) = a + b
a + (-b) = a - b
Multiplying two negative numbers gives a positive result
Dividing two negative numbers gives a positive result
Theorems
Commutative Property of Addition
Distributive Property
Rules of Integer Multiplication and Division
Suitable Grade Level
Grades 6-8
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Comprehensive Guide on Solving Integer Problems
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Integer Addition and Subtraction Practice Worksheet with Solutions