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- Additive inverse is a number that, when added to the original number, the sum is 0. Multiplicative inverse is a number that, when multiplied with the original number, the product is 1.
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Example: Additive inverse of 10 is -10, as 10 + (-10) = 0. Additive inverse of -9 is 9, as (-9) + 9 = 0. Check: Multiplicative Inverse. Additive inverse is also called the opposite of the number, negation of number or changed sign of original number. Fact: Additive inverse of zero is zero only.
Additive inverse is a number that, when added to the original number, the sum is 0. Multiplicative inverse is a number that, when multiplied with the original number, the product is 1. The additive inverse of a number is the negative or opposite of that number.
- The additive inverse of 0 is 0 itself.
- Except for 0, the additive inverse of all other whole numbers (natural numbers) is always negative, since all the natural numbers are positive.
- The sum of a number and its additive identity is the number itself, whereas the sum of a number and its additive inverse is 0.
Additive inverse is the number that is added to a given number to make the sum zero. For example, if we take the number 3 and add -3 to it, the result is zero. Hence, the additive inverse of 3 is -3.
Additive inverse of a number is the number that, when added to the original number, gives 0 as the result. For example: Additive inverse of 5 is -5. On the other hand, the multiplicative inverse of a number is the number that, when multiplied by the original number, gives 1 as the result.
- As per the definition of multiplicative inverse of a number is a number that, when multiplied by the given number, yields the product as 1. Since t...
- The multiplicative identity is a number, which when multiplied to any number “a”, gives a product as “a”. Multiplicative identity is a real number...
- The multiplicative inverse is used to simplify the expressions. One application of multiplicative inverse is when we solve the division problems. W...
May 28, 2023 · Definition: Identity Properties. The identity property of addition: for any real number a, \ [a + 0 = a \qquad 0 + a = a\] 0 is called the additive identity. The identity property of multiplication: for any real number a. \ [a \cdot 1 = a \qquad 1 \cdot a = a\] 1 is called the multiplicative identity.
Illustrated definition of Inverse Property of Multiplication: Multiplying a number by its reciprocal (the multiplicative inverse) is always one. a times (1a) 1...
Properties of Inverse Operations. Inverse Additive Property. The value, which, when added to the original number gives 0, is known as the additive inverse. Suppose, x is the original number, then its additive inverse will be minus of x, i.e., − x, such that: x + ( – x ) = x – x = 0. For example, 6 + ( − 6) = 0.
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