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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.
Subtraction
For every number, a,there exists a number called the additive inverse, -a, such that a + -a = 0.
The rational numbers form an algebraic structure with respect to addition and this structure is called a group. And it is the property of a group that every element in it has an additive inverse.
It is a fundamental requirement of algebraic structures called groups.
Additive Inverse
They are called the additive inverses!
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.
Two numbers that are the same distance from zero on the number line but are on opposite sides of zero are opposite numbers, or opposites. The opposite of a number is called its additive inverse. The opposite of 78 is -78.
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.
usually this means positive numbers and their negative counterparts. The opposite of a number is its additive inverse. The sum of a number and its opposite is zero. (This is sometimes called the property of opposites, or additive inverse property). Example: -999 + 999 = 0; therefore -999 and 999 are additive inverse (1/3) + (-1/3) = 0; therefore 1/3 and -1/3 are additive inverse 1 + (-1) = 0; therefore 1 and -1 are additive inverse a + (-a) = 0; therefore a and -a are additive inverse, So, the opposite of -999 is 999; the opposite of 1/3 is -1/3; the opposite of 1 is -1, and the opposite of a is -a.
These are often called "opposite numbers". The more precise term is "additive inverse". For example, the additive inverse of 5 is minus 5.
Two numbers, which when added together result in zero, are called each other's additive inverse. That is, for two given numbers x and y, if x + y = 0, then y is the additive inverse of x and x is the additive inverse of y.
Subtraction
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.)
For every number, a,there exists a number called the additive inverse, -a, such that a + -a = 0.