QQuestionMathematics
QuestionMathematics
How would you classify −6.75 when dealing with the following categories: natural, whole, integer, rational, irrational, and real numbers?
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Answer
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Step 1:: Identify the number's properties
- The number is an integer, so it's also a rational number since it can be expressed as a fraction (-$$\frac{675}{100}$$).
- The number is not positive, so it's not a natural number. - The number is an integer, but we need to check if it's also a whole number. - Since the number has a decimal part (i.e., .75), it's not a whole number. - The number is not an irrational number because it can be expressed as a fraction. - Since it's an integer and all integers are real numbers, it's a real number.
Step 2:: Summarize the classifications
- Not a natural number - Not a whole number - An integer - A rational number - Not an irrational number - A real number
Final Answer
- Classification: Not a natural number, not a whole number, an integer, a rational number, not an irrational number, and a real number.
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