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Which of the following rational number is its own reciprocal?
- a)-1
- b)1
- c)π
- d)Both a and b.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following rational number is its own reciprocal?a)-1b)1c)...
1 and -1 are the only rational numbers which are their own reciprocal. No other rational number is equal to its own reciprocal. So the rational numbers that are equal to their reciprocals are 1 and -1. Note: There is no rational number which when multiplied with zero, gives 1.
Most Upvoted Answer
Which of the following rational number is its own reciprocal?a)-1b)1c)...
Reciprocal of a Rational Number
Reciprocal of a rational number is defined as the fraction obtained by interchanging the numerator and denominator of the given fraction.
For example, the reciprocal of the rational number 3/4 is 4/3.
Reciprocal of Rational Numbers
The reciprocal of a rational number is always a rational number.
For example, the reciprocal of 3/4 is 4/3, which is also a rational number.
Reciprocal of -1 and 1
The reciprocal of -1 is -1 because when we interchange the numerator and denominator of -1, we get -1/-1, which is equal to 1.
The reciprocal of 1 is 1 because when we interchange the numerator and denominator of 1, we get 1/1, which is equal to 1.
Reciprocal of Both -1 and 1
Since the reciprocal of a rational number can be obtained by interchanging the numerator and denominator of the given fraction, the reciprocal of both -1 and 1 is a rational number.
Therefore, the correct answer is option 'D' - Both a and b.
Reciprocal of a rational number is defined as the fraction obtained by interchanging the numerator and denominator of the given fraction.
For example, the reciprocal of the rational number 3/4 is 4/3.
Reciprocal of Rational Numbers
The reciprocal of a rational number is always a rational number.
For example, the reciprocal of 3/4 is 4/3, which is also a rational number.
Reciprocal of -1 and 1
The reciprocal of -1 is -1 because when we interchange the numerator and denominator of -1, we get -1/-1, which is equal to 1.
The reciprocal of 1 is 1 because when we interchange the numerator and denominator of 1, we get 1/1, which is equal to 1.
Reciprocal of Both -1 and 1
Since the reciprocal of a rational number can be obtained by interchanging the numerator and denominator of the given fraction, the reciprocal of both -1 and 1 is a rational number.
Therefore, the correct answer is option 'D' - Both a and b.
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Community Answer
Which of the following rational number is its own reciprocal?a)-1b)1c)...
Option b
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Which of the following rational number is its own reciprocal?a)-1b)1c)πd)Both a and b.Correct answer is option 'D'. Can you explain this answer?
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