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The additive inverse is the inverse under addition; the multiplicative inverse is the inverse under multiplication. For example, the additive inverse of any real or complex number is its negative: the inverse of 3 is -3 and vice versa. The multiplicative inverse of a number other than 0 (which has no such inverse) is its reciprocal: the inverse of 2 is 1/2, and vice versa. Adding a number and its additive inverse gives the additive identity, 0. Multiplying a number by its multiplicative inverse gives the multiplicative identity, 1.

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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

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What is the difference between additive and multiplicative inverse?
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Related questions

Name the additive inverse and the multiplicative inverse for the number 2.5?

Additive inverse: -2.5 Multiplicative inverse: 0.4


What is the opposite of -7?

The additive inverse of -7 is 7.The multiplicative inverse of -7 is -1/7.The additive inverse of -7 is 7.The multiplicative inverse of -7 is -1/7.The additive inverse of -7 is 7.The multiplicative inverse of -7 is -1/7.The additive inverse of -7 is 7.The multiplicative inverse of -7 is -1/7.


What is the multiplicative inverse of -8?

the multiplicative inverse of -8 is just positive 8 :) * * * * * NO, that is the additive inverse. The multiplicative inverse of -8 is -1/8 or -0.125


What is the additive inverse of the multiplicative inverse of 32?

-1/32


What is the opposite of 10.1?

The additive inverse is -10.1 The multiplicative inverse is 0.0990099....


What are the additive and multiplicative inverses of 5.42?

The additive inverse of a number a is the number -a because a + (-a) = 0. For 5.42, the additive inverse is -5.42 because 5.42 + (-5.42) = 0. The multiplicative inverse of a number a is the number 1/a because a(1/a) = 1. For 5.42, the multiplicative inverse is 1/5.42 = 0.1845.


What is the opposite of -59?

The additive inverse is +59, the multiplicative inverse is -1/59


What is the difference between multiplicative inverse and additive inverse?

The multiplicative inverse of a non-zero element, x, in a set, is an element, y, from the set such that x*y = y*x equals the multiplicative identity. The latter is usually denoted by 1 or I and the inverse of x is usually denoted by x-1 or 1/x. y need not be different from x. For example, the multiplicative inverse of 1 is 1, that of -1 is -1.The additive inverse of an element, p, in a set, is an element, q, from the set such that p+q = q+p equals the additive identity. The latter is usually denoted by 0 and the additive inverse of p is denoted by -p.


What is the inverse of -7 plus 5?

It depends on whether you mean additive inverse or multiplicative inverse.


Multiplicative inverse of -3?

The multiplicative inverse of -3 is -(1/3) or negative one-third. The multiplicative inverse of a number is the number that you multiply it by to get a result of 1 (the multiplicative identity). So, since -3 times -(1/3) is 1, -(1/3) is the multiplicative inverse of -3. Similarly, +3 is the ADDITIVE inverse of -3. The additive inverse of a number is the number you add to it to get a result of 0 (the additive identity). So, since -3 + (+3) = 0, +3 is the additive inverse of -3. The original answer given here was that the multiplicative inverse of -3 is +3, which is flat incorrect.


How do you turn 5 and 3-7ths into a multiplicative and a additive inverse?

38/7 x 7/38 = 1 = multiplicative inverse 38/7 + -38/7 = 0 = additive inverse


What number is opposite of 90?

Define opposite. The additive inverse is -90, the multiplicative inverse is 1/90


What is product additive inverse and multiplicative inverse for each number of -3?

- 1/3


What number is the opposite of 0?

0 is its own additive inverse. There is no multiplicative inverse for 0.


What is the inverse of xy?

The general multiplicative inverse of xy is y-1x-1. The additive inverse is -xy


What is the opposite of 0.5?

It depends on whether you want the multiplicative inverse or the additive inverse. The answers are different.


What is the integer opposite of -9?

-1/9 is the multiplicative inverse.


What is the sum of the additive identity and the multiplicative inverse of 2?

-3/2


What is the additive inverse of 9.1?

We are talking group theory here. A group with addition has an additive inverse. A group with multiplication has a multiplicative inverse. The additive inverse of a number x is a y with x + y = 0. The additive inverse of x is written -x. Hence, the additive inverse of 9.1 equals -9.1. The reason that this question can arise is that beyond groups, there are rings and fields. Rings and fields have, besides addition, also multiplication. An element can have an additive inverse and a multiplicative inverse at the same time.


Is 7k plus 0 equals 7k a multiplicative identity?

No because 0 is additive inverse the multiplicative inverse of a number is when you multiply that number by the m. inverse and still get that number.


What number is the opposite of - 4?

Opposite, as in additive inverse, is +4. Opposite, as in multiplicative inverse, is -1/4


How do you find the opposite of a decimal number?

The answer depends on what you mean by "opposite": whether it is the additive inverse or the multiplicative inverse.


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 thought process would you use when trying to find the additive or multiplication inverse of a number or expression?

Additive inverse: change all signs. Multiplicative inverse: flip it over.


What are oppposites in math?

Opposites in math are called inverses. There are two of these inverses: an additive and a multiplicative. The additive inverse of a number is that number multiplied by -1. If this is added to the number, then the result will be 0. The multiplicative inverse of a number is its reciprocal. This is the number converted into a fraction then flipped. If you multiply a number with its multiplicative inverse, the result will be 1.

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