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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.
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When can you say that a given real number is irrational?
A real number is an irrational number if it cannot be expressed as a fraction a/b, where a and b are integers. Most real numbers are irrational. The most well known irrational numbers are π and √2. The inverse condition are called the rational numbers.
What is the multiplicative inverse of pi?
1/pi = 0.3183098861837906715377675267450287240689192914809128974953346881177935952684530701802276055325061719121456854535159160737858236922291573057559348214633996784584799338748181551461554927938506153774347857924347953233867247804834472580236647602284453995114318809237801738053479122409788218738756881710574461998928868004973446954789192217966461935661498123339729256093988973043757631495731339284820779917482786972199677361983999248857511703423577168622350375343210930950739760194789207295186675361186049889932706106543135510064406495556327943320458934962391963316812120336060719962678239749976655733088705595101400324813551287776991426217602443987522953627555294757812661360929159569635226248546281399215500490005955197141781138055935702630504200326354920418496232124811229124062929681784969183828704231508151124017430532136044343182815149491654451954925707997503106587816279635448187165095941466574380813999518153154156986940787179656174346851280733790233250914118866552625373000522454359423064225199009...It is an irrational number (moreover, it is a transcendental number)
The sum of a rational number and an irrational number is?
The sum of a rational and irrational number must be an irrational number.
Is 3.56 an irrational number?
No, 3.56 is not an irrational number. 3.56 is rational.
Whether a rational number multiplied by an irrational number gives an irrational number?
rational * irrational = irrational.
Is the multiplicative inverse of any irrational number always an irrational number?
Yes.
When can you say that a given real number is irrational?
A real number is an irrational number if it cannot be expressed as a fraction a/b, where a and b are integers. Most real numbers are irrational. The most well known irrational numbers are π and √2. The inverse condition are called the rational numbers.
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 is the multiplicative inverse of pi?
1/pi = 0.3183098861837906715377675267450287240689192914809128974953346881177935952684530701802276055325061719121456854535159160737858236922291573057559348214633996784584799338748181551461554927938506153774347857924347953233867247804834472580236647602284453995114318809237801738053479122409788218738756881710574461998928868004973446954789192217966461935661498123339729256093988973043757631495731339284820779917482786972199677361983999248857511703423577168622350375343210930950739760194789207295186675361186049889932706106543135510064406495556327943320458934962391963316812120336060719962678239749976655733088705595101400324813551287776991426217602443987522953627555294757812661360929159569635226248546281399215500490005955197141781138055935702630504200326354920418496232124811229124062929681784969183828704231508151124017430532136044343182815149491654451954925707997503106587816279635448187165095941466574380813999518153154156986940787179656174346851280733790233250914118866552625373000522454359423064225199009...It is an irrational number (moreover, it is a transcendental number)
What is an inverse number?
An inverse number is an opposing number of the standard number. For example, if a standard number is 12 then the inverse is -12.
What is the sum of an rational number and irrational number?
An irrational number.
Is an irrational number plus an irrational number rational?
No. The sum of an irrational number and any other [real] number is irrational.
The sum of a rational number and an irrational number is?
The sum of a rational and irrational number must be an irrational number.
Is 3.56 an irrational number?
No, 3.56 is not an irrational number. 3.56 is rational.
Whether a rational number multiplied by an irrational number gives an irrational number?
rational * irrational = irrational.
Is negative pi rational or irrational?
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
What is a negative irrational number?
A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.
