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For numbers with ordinary multiplication defined on them, they are the same.

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

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Q: How are the reciprocal of nonzero number and the multiplicative inverse of the numbers related?
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Related questions

What is a numbers reciprocal called?

A number's reciprocal could be called a multiplicative inverse.

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.

How do you get the multiplicative inverse?

Multiplicative inverses are two numbers whose product is one.Another name for multiplicative inverse is reciprocal. The reciprocal of 2/3 is 3/2. 2/3 X 3/2 = 6/6 = 1. The multiplicative inverse of 7 is 1/7. 7 X 1/7 = 7/7 = 1.

What is the one of two numbers whose product is 1 also called multiplicaton inverse?

IN ALGEBRA muliplicative Inverse is the product of the number and the reiprocal of the number and after multiplying the number and the reciprocal the result will be 1.

What numbers are their own multiplicative inverse?


What is a multiplicative inverse?

The multiplicative inverse for the number x is the number 1/x, such that their product is 1. The name for a multiplicative inverse is the reciprocal (opposite).The multiplicative inverse of a fraction is found by making the numerator the denominator and the denomination the numerator, such that the reciprocal of 3/4 would be 4/3. You are simply "flipping the fraction over."Dividing by a fraction is the same as multiplying by its inverse, or reciprocal.Example: 6 divided by 2/3 = 6 times 3/2 = 18/2 = 9so that are 9 two-thirds sections in 6 wholes.

What is the opposite of a number?

This may refer to the additive inverse, or to the multiplicative inverse. To find the additive opposite (negative) of a number multiply it by -1 The only number without an opposite is 0. To find the multiplicative inverse (reciprocal), make the number the numerator of a fraction (e.g., the reciprocal of 3 is 1/3). The additive inverse of 4 is minus 4 (the idea is to have two numbers that add up to zero), whereas the multiplicative inverse of 4 is 1/4 (the idea is to have two numbers whose product is 1).

What is multiplicative inverse in rational numbers?

The inverse function of multiplication is division.

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 definition of multiplicative inverse?

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x^−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a.

Does every real numbers have a multiplicative inverse?

No, zero does not. Multiplicative inverse, also known as reciprocal, is a number which multiplied by the original number gives 1 for the answer. Zero, multiplied by any numberequals zero. Infinity is not an actual number that you can multiply by. These are important concepts.

Does the set of rational numbers have a multiplicative inverse?

Yes, and for any non-zero rational x, the multiplicative inverse is 1/x.

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.

How do you find the multiplicative inverse of mixed numbers?

change it to an improper fraction and then do it

What is one of two numbers having a product of 1?

multiplicative inverse

What should happen when you add or multiply inverse numbers?

When you add a number and its additive inverse, for example x+(-x), you would get 0 as an answer no matter what the number is. When you multiply a number and its reciprocal or multiplicative inverse, for example x*(1/x), you would always get 1 as an answer.

Is the set of rational numbers contains the multiplicative inverse of each of its members?

help me

What is a reciprical?

A reciprocal (not reciprical) or multiplicative-inverse is THE relationship between two expressions factored from unity. The product of a reciprocal pair of expressions (quantities or numbers) is equal to 1. For example; 1/5 and 5 are reciprocals of each other, they multiply to equal 1. Zero (zed) does not have a reciprocal.

What is the multiplicative inverse of?

The multiplicative inverse of an element x (in a set S) is an element, y, of the set such that x*y = y*x = 1 where 1 is the multiplicative identity. y is denoted by x^(-1). For the set of numbers, the inverse of x is 1/x.

What is one of two numbers whose product is 1 also called multiplicative inverse?


Is one the only number that has its own multiplicative integer?

No, it is one of two numbers that has its own multiplicative inverse which is an integer. The other number is -1.

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.

One of two numbers whose product is one is called?

Let A and B be any two numbers such that AB=1. An example would be 1 and 1/9.We say that A is the multiplicative inverse of B. Similarly we say that B is the multiplicative inverse of A.

What number has no multiple inverse?

On the set of all real numbers ZERO has no multiplicative inverse. For other sets there may be other numbers too, so please define your set!

What is the definition of multiplacation inverse?

Basically, if numbers "a" and "b" are multiplicative inverses, it means that their product is equal to 1.