The number (-9) is the additive inverse of 9.Inverse operations can also be used to find the additive inverse of a specific number. For example, -9 is the additive inverse of 9 since the sum of -9 and 9 is 0. Additive inverses come in pairs; 9 is the additive inverse of -9, just as -9 is the additive inverse of 9. Any two numbers are additive inverses if they add up to 0.Visualize a pair of additive inverses on the number line. The number 9 and its additive inverse -9 are both nine units away from 0 but on opposite sides of 0. For this reason, -9 is called the opposite of 9, and 9 is the opposite of -9. The opposite of a number may be positive or negative.
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.
The "additive inverse" is essentially the negative value. It changes the number in the opposite direction on a number line. If you add a number to a value, and then add its inverse, you will have the same original value.Example: 2 + 3 = 5 , then 5 + (-3) = 2---The "multiplicative inverse" is the reciprocal of a number (i.e. for x, it is 1/x )Dividing by a number (especially a fraction) can be done by multiplying its inverse.Examples:The division 6 divided by 2 = 3 is the same as 6 times its inverse (1/2), also 3.The division 9 divided by 3/4 is the same as 9 x 4/3 = 36/3 = 12
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additive inverse and associative property and if one is involved, then also identity
The opposite of a number is also called an additive inverse. An additive inverse of a number a is the number that, when added to a, yields zero.
For each positive number, there is a negative number that is its opposite. We write the opposite of a positive number with a negative or minus sign in front.The opposite of a number is also called its additive inverse.For example, 5 is the additive inverse of -5 and -5 is the additive inverse of 5.
The number (-9) is the additive inverse of 9.Inverse operations can also be used to find the additive inverse of a specific number. For example, -9 is the additive inverse of 9 since the sum of -9 and 9 is 0. Additive inverses come in pairs; 9 is the additive inverse of -9, just as -9 is the additive inverse of 9. Any two numbers are additive inverses if they add up to 0.Visualize a pair of additive inverses on the number line. The number 9 and its additive inverse -9 are both nine units away from 0 but on opposite sides of 0. For this reason, -9 is called the opposite of 9, and 9 is the opposite of -9. The opposite of a number may be positive or negative.
This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive. Zero is the additive inverse of itself.
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.
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.
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.
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.
That depends what you mean with "opposite". Two important math concepts are:a) The additive inverse. That's the same number, with a minus in front of it (a number plus its additive inverse = 0).b) The multiplicative inverse, also called the reciprocal. One divide by the number. For a fraction, you can simply exchange numerator and denominator to get the reciprocal. (A number times its reciprocal = 1.)
Sometimes. Also, when depends on what you mean by "opposite": the additive inverse or the multiplicative inverse.
That would be the set of all non-zero numbers. If by number you actually meant whole numbers, that is integers, then it would be the set of all non-zero integers. They are also called Additive Inverses. For example, -5 is the additive inverse of 5, because 5 + (-5) = 0. Similarly, 7 is the additive inverse of -7 because (-7) + 7 = 0.
never a negative number * * * * * ... true if, by opposite, you mean the additive inverse. However, the multplicative inverse is also an opposite. And the multiplicative inverse of a negative number is always negative.