Math Problem Statement
Solution
I can see the worksheet on "Mixed Integer Practice" from the image. Let's go through the solutions. I'll solve each problem one by one:
Solutions:
-
Already solved correctly. -
Negative multiplied by negative is positive. -
Subtracting a negative is the same as adding. -
Already solved correctly. -
The subtraction becomes more negative. -
Division of two negatives results in a positive. -
Already solved correctly. -
Sum of two negative numbers is a larger negative. -
Negative multiplied by negative is positive. -
Already solved correctly. -
Subtracting a negative is the same as adding. -
Division of two negatives results in a positive. -
Absolute value of is 8. -
Sum of two negative numbers is a larger negative. -
Positive divided by negative is negative. -
Already solved correctly. -
Absolute value of is 3. -
Subtracting a negative is the same as adding. -
Already solved correctly. -
Positive divided by negative is negative. -
Subtracting a negative is the same as adding. -
Addition of a negative and positive number. -
-
Sum of two negative numbers is a larger negative. -
Division of two negatives results in a positive. -
-
Negative divided by positive is negative. -
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Negative multiplied by negative is positive. -
Sum of a negative number and a larger negative number.
Would you like to discuss any of these solutions in detail or have further questions?
Follow-up Questions:
- How do absolute values affect the operations when mixed with integers?
- What happens when subtracting a negative integer from another negative integer?
- Can you explain the rule for multiplying and dividing integers with different signs?
- How does the order of operations apply when dealing with multiple integer operations in a single expression?
- Why does subtracting a negative integer turn into addition?
Tip:
When subtracting a negative number, always remember to "flip the sign" and treat it like addition!
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Math Problem Analysis
Mathematical Concepts
Integer Arithmetic
Addition and Subtraction of Integers
Multiplication and Division of Integers
Absolute Value
Formulas
a + (-b) = a - b
a - (-b) = a + b
a * (-b) = -ab
(-a) * (-b) = ab
a / (-b) = -a / b
Theorems
Properties of Integers
Rules of Signs (Multiplication and Division)
Absolute Value Properties
Suitable Grade Level
Grades 6-8
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