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What is the reciprocal of a positive rational number?
It is another positive rational number. The reciprocal of p/q is q/p.
What positive number is the same as its reciprocal?
1
What is the minimum value of sum of a positive real number and its reciprocal?
This minimum is achieved when the number is 1 (and the reciprocal therefore is also 1).
Is the reciprocal of any positive or negative integer always a rational number?
Yes, it is.
What is the reciprocal of a negative fraction?
Answer: -a/b is a fraction, its reciprocal is -b/a Why: Let's look at what reciprocal does. Take a fraction like 1/3 and its reciprocal is 3 . That is 1/ (1/3) and if we multiply the number by its reciprocal we get one. So now take -1/3. The question is whether the reciprocal is 3 or -3. If we multiply - 1/3 by 3 we have -1 and if we multiply it by -3 we have 1. The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same. So the answer is -3 and just as with positive fractions, we have the number multiplied by its reciprocal is 1
Why is the reciprocal of the opposite of a nonzero number the opposite of the reciprocal of the number?
Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.
Why will sin and cosecant have the same sign?
The cosecant is the reciprocal of the sine function. Now, the reciprocal of a positive number is positive, and the reciprocal of a negative number is negative.
What is the reciprocal of a positive rational number?
It is another positive rational number. The reciprocal of p/q is q/p.
What postive number is its own reciprocal?
1 is the only positive number that is its own reciprocal. -1 is the negative number that is its own reciprocal.
Is the number positive if the power is negative?
It does not work that way. A negative power is simply the reciprocal. So that x-a = 1/xa The reciprocal is negative or positive according to whether the number itself is negative or positive. [And, if the number is 0, the reciprocal is not defined.]
What positive number is the same as its reciprocal?
1
What positive number is the same its reciprocal?
The answer is 1.Reciprocal is the quantity obtained by dividing the number one by a given quantity. The reciprocal of x is 1/X. The only positive integer that is itself when divided into 1 is 1.
What is the minimum value of sum of a positive real number and its reciprocal?
This minimum is achieved when the number is 1 (and the reciprocal therefore is also 1).
What positive number is the same as it's own reciprocal?
1.
There is only one positive number that is equal to its reciprocal What is it?
one
Is -(x) a negative number or positive number?
It is a positive reciprocal. x-a = 1/xa or equivalently, (1/x)a
How do you divide a negative number by a positive fraction?
You multiply the negative number by the reciprocal of the fraction.
