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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Rational Numbers, Class 8, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.
Q.
Find the reciprocal of -2.
- a)2
- b)-2
- c)- 1/2
- d)None of these
Correct answer is 'C'. Can you explain this answer?
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
reciprocal means interchanging numerator and denominator here it's-2/1 understand after reciprocal denominator came upside so, it will be -1/2
Most Upvoted Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
-2 = -2/1 Therefore reciprocal of -2/1 = -1/2
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are av...
Understanding Reciprocals
The reciprocal of a number is defined as the value that, when multiplied with the original number, results in 1. For any non-zero number \(x\), the reciprocal is given by \(\frac{1}{x}\).
Finding the Reciprocal of -2
To find the reciprocal of -2, we can follow these steps:
- The reciprocal of a number \(x\) is calculated as \(\frac{1}{x}\).
- Therefore, for -2, the reciprocal can be calculated as follows:
\[
\text{Reciprocal of -2} = \frac{1}{-2} = -\frac{1}{2}
\]
Identifying the Correct Option
Now, let’s examine the options provided in the quiz:
- a) 2
- b) -2
- c) -\(\frac{1}{2}\)
- d) None of these
From our calculation, we found that the reciprocal of -2 is -\(\frac{1}{2}\).
Conclusion
Thus, the correct answer is option c) -\(\frac{1}{2}\). This means that when -2 is multiplied by its reciprocal -\(\frac{1}{2}\), the product is indeed 1:
\[
-2 \times -\frac{1}{2} = 1
\]
This confirms that the reciprocal has been correctly identified. Understanding the concept of reciprocals is essential in mathematics, especially when dealing with rational numbers.
The reciprocal of a number is defined as the value that, when multiplied with the original number, results in 1. For any non-zero number \(x\), the reciprocal is given by \(\frac{1}{x}\).
Finding the Reciprocal of -2
To find the reciprocal of -2, we can follow these steps:
- The reciprocal of a number \(x\) is calculated as \(\frac{1}{x}\).
- Therefore, for -2, the reciprocal can be calculated as follows:
\[
\text{Reciprocal of -2} = \frac{1}{-2} = -\frac{1}{2}
\]
Identifying the Correct Option
Now, let’s examine the options provided in the quiz:
- a) 2
- b) -2
- c) -\(\frac{1}{2}\)
- d) None of these
From our calculation, we found that the reciprocal of -2 is -\(\frac{1}{2}\).
Conclusion
Thus, the correct answer is option c) -\(\frac{1}{2}\). This means that when -2 is multiplied by its reciprocal -\(\frac{1}{2}\), the product is indeed 1:
\[
-2 \times -\frac{1}{2} = 1
\]
This confirms that the reciprocal has been correctly identified. Understanding the concept of reciprocals is essential in mathematics, especially when dealing with rational numbers.
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Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Rational Numbers, Class 8, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.Q.Find the reciprocal of -2.a)2b)-2c)- 1/2d)None of theseCorrect answer is 'C'. Can you explain this answer?
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