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Is the multiplicative inverse of any irrational number always an irrational number?
Wiki User
∙ 12y ago
Yes.
Wiki User
∙ 12y ago
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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.
How do you find the multiplicative inverse of a whole number?
Divide 1 by the number. The multiplicative inverse of 7 is 1/7, for example.
What is the mulitplicative inverse of -6?
The multiplicative inverse of a number is any number that will multiply by it to make zero. Here, the multiplicative inverse of -6 is -(1/6), or negative one sixth.
How are a number and its opposite represented on a number line?
The answer will depend on what you mean by "opposite": the additive inverse or the multiplicative inverse.
What are inverse numbers?
An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.
Is the answer for multiplicative inverse properties always 1?
multiplicative inverse of a number 'p' = 1/p
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.
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.
Is the product of a number and its multiplicative inverse always a rational number?
If the multiplicative inverse exists then, by definition, the product is 1 which is rational.
What does the term Multiplicative Inverse mean?
it means reciprocal, the number that multiplies by the original number to get a product of 1. The multiplicative inverse is always 1/x; x=5, then the multiplicative inverse is 1/5. If x=1/2 or .5, the multiplicative inverse is 1/.5, which is also 2.
Is the product of a rational number and its multiplicative inverse always one?
Yes.
Is the inverse of aan irrational number is irrational?
Yes. Both the additive inverse and the multiplicative inverse would be irrational in this case. For example, if a and b are integers, a/b is rational by definition; in this case, b/a would also be rational, being the ratio of two integers.
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 is the multiplicative inverse of pi?
1/pi = 0.3183098861837906715377675267450287240689192914809128974953346881177935952684530701802276055325061719121456854535159160737858236922291573057559348214633996784584799338748181551461554927938506153774347857924347953233867247804834472580236647602284453995114318809237801738053479122409788218738756881710574461998928868004973446954789192217966461935661498123339729256093988973043757631495731339284820779917482786972199677361983999248857511703423577168622350375343210930950739760194789207295186675361186049889932706106543135510064406495556327943320458934962391963316812120336060719962678239749976655733088705595101400324813551287776991426217602443987522953627555294757812661360929159569635226248546281399215500490005955197141781138055935702630504200326354920418496232124811229124062929681784969183828704231508151124017430532136044343182815149491654451954925707997503106587816279635448187165095941466574380813999518153154156986940787179656174346851280733790233250914118866552625373000522454359423064225199009...It is an irrational number (moreover, it is a transcendental number)
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!!
