Math Problem Statement
Solution
Let's evaluate each expression step by step:
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First expression: Multiplying two negative numbers results in a positive number:
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Second expression: Dividing a negative number by a positive number results in a negative number:
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Third expression: Dividing two negative numbers results in a positive result. First, rewrite the division as multiplication by the reciprocal:
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Fourth expression: Multiplying a positive number by a negative fraction results in a negative value:
The final results for each expression are:
Would you like any more details on these steps, or do you have any questions?
Here are 5 related questions:
- What happens when you multiply a positive number by a negative number?
- How do you divide fractions, and why is the reciprocal used?
- What is the result of dividing a number by 10?
- Why does the product of two negative numbers result in a positive number?
- Can you convert a decimal into a fraction?
Tip: When dividing fractions, always remember to multiply by the reciprocal of the divisor.
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Math Problem Analysis
Mathematical Concepts
Multiplication
Division
Fractions
Positive and Negative Numbers
Formulas
Multiplication of numbers: a × b
Division of numbers: a ÷ b
Reciprocal of a fraction: 1/a
Theorems
The product of two negative numbers is positive
Dividing by a fraction is equivalent to multiplying by the reciprocal
Suitable Grade Level
Grades 6-8
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