Additive inverse: The opposite of a given number, n, that when added to n will give 0 as an answer.

Example: What is the additive inverse of 7, 9, 3, -8, -12, and 2?

Answer: -7, -9, -3, 8, 12, and -2.

Reason: 7 + -7 = 0

-8 + 8 = 0

2 + -2 = 0

Multiplicative inverse: The inverse of a given number, n (written as 1/n, or n^-1), that when multiplied by n gives 1 as the answer.

Example: 2, 4, -6, -8

Answer: 1/2, 1/4, -1/6, -1/8

Reason: 2 * (1/2) = 1

4 * (1/4) = 1

-8 * (-1/8) = 1

There you go! Now you can easily calculate the inverses of any given number! Hope this helps 🙂

Show: All answersOldest to newestNewest to oldestRated highest to lowestTotal rating 0 or higherTotal rating higher than -2Total rating higher than -5

Answer hidden due to its low rating Hide

User Question/Answer Information

BearMember since: August 22, 2007

Total points: 150 (Level 1)

Points earned this week:

–% Best answer

Bear

0

additive inverse means the value that added to it equals 0

thus that would be -2

multiplicative inverse means the value multiplied to it that equals 1, thus that would be 1/2

7 minutes ago – Report Abuse

0 0

by Bear

7 minutes ago Answer hidden due to its low rating Show Total rating: 0 0 0

Answer hidden due to its low rating Hide

User Question/Answer Information

murnipMember since: August 21, 2006

Total points: 6,907 (Level 5)

Points earned this week:

14% Best answer

1708 answers

murnip

0

Additive inverse is -2

Multiplicative inverse is 1/2

You get the additive inverse of a number by multiplying it by

-1.

You get the multiplicative inverse of a number by dividing 1 by the number.

7 minutes ago – Report Abuse

0 0

by murnip

7 minutes ago Answer hidden due to its low rating Show Total rating: 0 0 0

Answer hidden due to its low rating Hide

User Question/Answer Information

steppy333Member since: September 05, 2007

Total points: 126 (Level 1)

Points earned this week:

–% Best answer

steppy333

0

To find an inverse of a number, you first need to decide what the identity is, for that operation.

Considering addition, what number x satisfies the following:

a + x = a.

Clearly its 0, so the identity is 0.

Considering multiplication, what number x satisfies the following:

ax = a

The answer is 1, so the identity is 1.

Now, the inverse x of a number a is s.t

a * x = e, … … where * is the operation (addition, multiplication…) and e is the identity.

So, for addition,

a + x = 0

The inverse x will be -a.

For multiplication,

ax = 1

The inverse x will be 1/a.

Since in your question a = 2, the additive inverse is -2 and the multiplicative inverse is 1/2.

5 minutes ago – Report Abuse

0 0

by steppy333

5 minutes ago Answer hidden due to its low rating Show Total rating: 0 0 0

Answer hidden due to its low rating Hide

User Question/Answer Information

gjmb1960Member since: July 08, 2006

Total points: 15,014 (Level 6)

Points earned this week:

–% Best answer

gjmb1960

S

it depends in what ring.

in N ,2 doesnt have an additive inverse, in Z the additive inverse of 2 is -2, in Z/3 it is 1

multiplicative idem dito

in N, Z none, in Q it is 1/2 , in Z/3 it is 2 itself.

greetings.

4 minutes ago – Report Abuse

Edit Delete

0 0