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Which real number does not have a multiplicative inverse and why?
Wiki User
∙ 13y ago
That number is zero. It has no inverse because there is no number that you can multiply by zero to get one; to put this another way; The equation 0x= 1 has no solution, bacause 0x = 0 for all real numbers x.
Wiki User
∙ 13y ago
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What is the product of any nonzero real number and its multiplicative inverse?
1
Name the additive inverse and the multiplicative inverse for the number 2.5?
Additive inverse: -2.5 Multiplicative inverse: 0.4
The multiplication inverse of a number is always its?
The multiplicative inverse is also known as the reciprocal. The multiplicative inverse of a number "x" can be expressed as 1/x. In the case of a fraction, exchange numerator and denominator to get the multiplicative inverse.
Do real numbers have a multiplicative inverse?
All real numbers, except 0, have a multiplicative inverse. For any real x, (x not = 0), there exists a real number y such that x*y = 1. This y is denoted by 1/x.
What is the multiplication inverse of 8?
The multiplicative inverse is when you multiply a certain number, and the product is itself, the number. So, the multiplicative inverse of 8 is of course, 1. For every number, the multiplicative number is 1, because a certain number times 1 is equal to the certain number. It's simple!!
Why doesn't every real number have a multiplicative inverse?
The only real (or complex) number which does not have a multiplicative inverse is 0. There is nothing you can multiply by 0 to get 1.
Is it true that any real number has a multiplicative inverse?
No, it is not true.
What is the product of any nonzero real number and its multiplicative inverse?
1
What an multiplicative inverse property and real number?
For every real number, x, which is not zero, there exists a real number x' such that x * x' = x' * x = 1, the multiplicative identity.
Name the additive inverse and the multiplicative inverse for the number 2.5?
Additive inverse: -2.5 Multiplicative inverse: 0.4
Is the multiplicative inverse of -54 ... 54?
No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.
Multiplicative inverse of a negative number?
The multiplicative inverse is the negative of the reciprocal of the positive value. Thus the multiplicative inverse of -7 is -1/7.
What number does not have a multiplicative inverse?
A multiplicative inverse for 2 numbers exists if the 2 numbers are coprime, i.e. their greatest common divisor (or gcd) is 1. However, if your question refers to just a singular number, virtually all real numbers (with the exception of zero) have a multiplicative inverse.
The multiplication inverse of a number is always its?
The multiplicative inverse is also known as the reciprocal. The multiplicative inverse of a number "x" can be expressed as 1/x. In the case of a fraction, exchange numerator and denominator to get the multiplicative inverse.
Do real numbers have a multiplicative inverse?
All real numbers, except 0, have a multiplicative inverse. For any real x, (x not = 0), there exists a real number y such that x*y = 1. This y is denoted by 1/x.
What are the elements in rational numbers having multiplicative inverse?
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
What does the mathematical term ''Multiplicative Inverse'' mean?
The multiplicative inverse of a number (other than zero) is the number such that the product of the two is 1. Thus, the multiplicative inverse of x is 1/x.
