additive inverse math definition and example
What is inverse property of addition - Definition and Meaning. Inverse Property Of Addition : If the result of the sum of a number and its negative number is 0, then it is called the inverse property of addition. Here 0 is the identity element for addition and negative of the number is the inverse of Addition. In mathematics, an inverse operation is an operation that undoes what was done by the previous operation. The four main mathematical operations are addition, subtraction, multiplication, division. The inverse of addition is subtraction and vice versa. The inverse of multiplication is division and vice versa. TRENDING NOW. 1  nonnuclear 'Not nuclear'. 2  armada 'A fleet of warships'. 3  volunteer 'Someone who does something without being forced to do it'. 4  operationalize Bannon was removed from the National Security Council.  filibuster 'An effort to prevent action in a legislature'. The additive inverse of a number is what you add to a number to create the sum of zero. So in other words, the additive inverse of x is another number, y, as long as the sum of x + y equals zero. The additive inverse of x is equal and opposite in sign to it (so, y = -x or vice versa). For example, the additive inverse of the positive number 5 is -5. That's because their sum, or 5 + (-5) = 0. Operation - Identity - Associative - Commutative - Distributive - Closure - Inverse - Equality. An operation works to change numbers. (The word operate comes from Latin operari, to work.) There are six operations in arithmetic that work on numbers: addition, subtraction, multiplication, division, raising to powers, and taking roots. Definition of additive inverse. : a number that when added to a given number gives zero the additive inverse of 4 is −4 — compare opposite 3. Inverse - Additive Inverse. The additive inverse of a number, a, is the number, -a, you add to it to get 0 (the additive identity). a + (-a) = 0. Examples: The additive inverse of 8 is -8 since 8 + (-8) = 0. The additive inverse of -2 is 2 since -2 + 2 = 0. Inverse - Multiplicative Inverse. The multiplicative inverse of a number, a, is the number, 1/a, that you multiply it to so you get 1 (the multiplicative identity). Example: The multiplicative inverse of 5 is 1/5. The multiplicative inverse of 1/2 is 2. For example, the additive inverse of 67 is -67, because 67 + -67 = 0, the additive identity. Similarly, if the product of two numbers is the multiplicative identity, the numbers are multiplicative inverses. Since 6 * 1/6 = 1 (the multiplicative identity), the multiplicative inverse of 6 is 1/6. Zero does not have a multiplicative inverse, since no matter what you multiply it by, the answer is always 0, not 1. From the Math Forum: Quick Answer. For any number, including fractions, the additive inverse of that number is what you add to it to equal zero. For instance, 1 + -1 equals zero, so -1 is the additive inverse of 1 (and 1 is the additive inverse of -1). Continue Reading. The operation that reverses the effect of another operation. Example: Addition and subtraction are inverse operations. Start with 7, then add 3 we get 10, now subtract 3 and we get back to 7. Another Example: Multiplication and division are inverse operations. Start with 6, multiply by 2 we get 12, now divide by 2 and we get back to 6.
An additive inverse is a number that when added to a given number gives zero.For example, the additive inverse of the positive number 5 is -5. That's because their sum, or 5 + (-5) = 0.