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What type of a number is −3/0 ?
- a)A positive rational number.
- b)A negative rational number.
- c)Either a positive or a negative rational number.
- d)Neither a positive nor a negative rational number.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
What type of a number is−3/0 ?a)A positive rational number.b)A n...
Since, denominator is 0, it is not a rational number.
Most Upvoted Answer
What type of a number is−3/0 ?a)A positive rational number.b)A n...
Understanding the Concept of Division by Zero
When considering the expression –3/0, it's important to grasp what division by zero entails.
Division Basics
- Division is essentially the process of determining how many times one number fits into another.
- For example, 6 divided by 2 equals 3 because 2 fits into 6 three times.
What Happens with Zero?
- Dividing any number by zero is undefined. This is because there is no number that can multiply with 0 to yield a non-zero number.
- In the case of –3/0, we are attempting to divide –3 by 0, which cannot be resolved.
Types of Numbers
- Rational numbers are defined as numbers that can be expressed as a fraction a/b, where 'a' and 'b' are integers, and 'b' is not zero.
- Since division by zero is undefined, –3/0 does not fit into this category.
Conclusion
- Therefore, –3/0 is not a positive rational number, a negative rational number, or even a number that could be classified as either.
- The correct classification for –3/0 is that it is neither a positive nor a negative rational number, affirming option 'D' as the correct answer.
Understanding the implications of division by zero helps clarify its undefined nature and why it cannot be categorized as a rational number.
When considering the expression –3/0, it's important to grasp what division by zero entails.
Division Basics
- Division is essentially the process of determining how many times one number fits into another.
- For example, 6 divided by 2 equals 3 because 2 fits into 6 three times.
What Happens with Zero?
- Dividing any number by zero is undefined. This is because there is no number that can multiply with 0 to yield a non-zero number.
- In the case of –3/0, we are attempting to divide –3 by 0, which cannot be resolved.
Types of Numbers
- Rational numbers are defined as numbers that can be expressed as a fraction a/b, where 'a' and 'b' are integers, and 'b' is not zero.
- Since division by zero is undefined, –3/0 does not fit into this category.
Conclusion
- Therefore, –3/0 is not a positive rational number, a negative rational number, or even a number that could be classified as either.
- The correct classification for –3/0 is that it is neither a positive nor a negative rational number, affirming option 'D' as the correct answer.
Understanding the implications of division by zero helps clarify its undefined nature and why it cannot be categorized as a rational number.
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Community Answer
What type of a number is−3/0 ?a)A positive rational number.b)A n...
Since the denominator is 0, it is not a rational number.
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What type of a number is−3/0 ?a)A positive rational number.b)A negative rational number.c)Either a positive or a negative rational number.d)Neither a positive nor a negative rational number.Correct answer is option 'D'. Can you explain this answer?
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What type of a number is−3/0 ?a)A positive rational number.b)A negative rational number.c)Either a positive or a negative rational number.d)Neither a positive nor a negative rational number.Correct answer is option 'D'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What type of a number is−3/0 ?a)A positive rational number.b)A negative rational number.c)Either a positive or a negative rational number.d)Neither a positive nor a negative rational number.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What type of a number is−3/0 ?a)A positive rational number.b)A negative rational number.c)Either a positive or a negative rational number.d)Neither a positive nor a negative rational number.Correct answer is option 'D'. Can you explain this answer?.
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