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____ is the multiplicative identity for rational numbers.
- a)0
- b)1
- c)-1
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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____ is the multiplicative identity for rational numbers.a)0b)1c)-1d)N...
1 is the multiplicative identity which means that identity of the number remains intact if it is multiplied by 1
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____ is the multiplicative identity for rational numbers.a)0b)1c)-1d)N...
Understanding Multiplicative Identity
The concept of multiplicative identity is fundamental in mathematics, particularly in the study of numbers, including rational numbers.
Definition of Multiplicative Identity
- The multiplicative identity of a set of numbers is the number that, when multiplied by any number in that set, leaves the original number unchanged.
Multiplicative Identity for Rational Numbers
- For rational numbers, the multiplicative identity is 1. This means:
- Any rational number multiplied by 1 remains the same.
- For example, if you take any rational number, say 3/4, and multiply it by 1, you get:
- (3/4) * 1 = 3/4
Why Other Options Are Incorrect
- Option a: 0
- Multiplying any number by 0 results in 0, which does not maintain the original value.
- Option c: -1
- Multiplying by -1 reverses the sign of the number, thus changing its value.
- Option d: None of these
- Since 1 is indeed the multiplicative identity for rational numbers, this option is also incorrect.
Conclusion
- Therefore, in the context of rational numbers, the correct answer to the question about the multiplicative identity is b) 1. This reflects the essential property of the number 1 in multiplication across various number systems. Understanding this concept is crucial for mastering more complex mathematical operations.
The concept of multiplicative identity is fundamental in mathematics, particularly in the study of numbers, including rational numbers.
Definition of Multiplicative Identity
- The multiplicative identity of a set of numbers is the number that, when multiplied by any number in that set, leaves the original number unchanged.
Multiplicative Identity for Rational Numbers
- For rational numbers, the multiplicative identity is 1. This means:
- Any rational number multiplied by 1 remains the same.
- For example, if you take any rational number, say 3/4, and multiply it by 1, you get:
- (3/4) * 1 = 3/4
Why Other Options Are Incorrect
- Option a: 0
- Multiplying any number by 0 results in 0, which does not maintain the original value.
- Option c: -1
- Multiplying by -1 reverses the sign of the number, thus changing its value.
- Option d: None of these
- Since 1 is indeed the multiplicative identity for rational numbers, this option is also incorrect.
Conclusion
- Therefore, in the context of rational numbers, the correct answer to the question about the multiplicative identity is b) 1. This reflects the essential property of the number 1 in multiplication across various number systems. Understanding this concept is crucial for mastering more complex mathematical operations.
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____ is the multiplicative identity for rational numbers.a)0b)1c)-1d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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____ is the multiplicative identity for rational numbers.a)0b)1c)-1d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about ____ is the multiplicative identity for rational numbers.a)0b)1c)-1d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ____ is the multiplicative identity for rational numbers.a)0b)1c)-1d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
____ is the multiplicative identity for rational numbers.a)0b)1c)-1d)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about ____ is the multiplicative identity for rational numbers.a)0b)1c)-1d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ____ is the multiplicative identity for rational numbers.a)0b)1c)-1d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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