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The multiplicative inverse of a non-zero element, x, in a set, is an element, y, from the set such that x*y = y*x equals the multiplicative identity. The latter is usually denoted by 1 or I and the inverse of x is usually denoted by x-1 or 1/x. y need not be different from x. For example, the multiplicative inverse of 1 is 1, that of -1 is -1.
The additive inverse of an element, p, in a set, is an element, q, from the set such that p+q = q+p equals the additive identity. The latter is usually denoted by 0 and the additive inverse of p is denoted by -p.
The additive inverse is the inverse under addition; the multiplicative inverse is the inverse under multiplication. For example, the additive inverse of any real or complex number is its negative: the inverse of 3 is -3 and vice versa. The multiplicative inverse of a number other than 0 (which has no such inverse) is its reciprocal: the inverse of 2 is 1/2, and vice versa. Adding a number and its additive inverse gives the additive identity, 0. Multiplying a number by its multiplicative inverse gives the multiplicative identity, 1.
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Name the additive inverse and the multiplicative inverse for the number 2.5?
Additive inverse: -2.5 Multiplicative inverse: 0.4
What number is opposite of 90?
Define opposite. The additive inverse is -90, the multiplicative inverse is 1/90
What is product additive inverse and multiplicative inverse for each number of -3?
- 1/3
What number is the opposite of 0?
0 is its own additive inverse. There is no multiplicative inverse for 0.
When are the absolute value and the opposite of a rational number equal?
The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.
Name the additive inverse and the multiplicative inverse for the number 2.5?
Additive inverse: -2.5 Multiplicative inverse: 0.4
What is the additive inverse of the multiplicative inverse of 32?
-1/32
What are the additive and multiplicative inverses of 5.42?
The additive inverse of a number a is the number -a because a + (-a) = 0. For 5.42, the additive inverse is -5.42 because 5.42 + (-5.42) = 0. The multiplicative inverse of a number a is the number 1/a because a(1/a) = 1. For 5.42, the multiplicative inverse is 1/5.42 = 0.1845.
What is the opposite of 101?
The additive inverse is -10.1 The multiplicative inverse is 0.0990099....
How do you turn 5 and 3-7ths into a multiplicative and a additive inverse?
38/7 x 7/38 = 1 = multiplicative inverse 38/7 + -38/7 = 0 = additive inverse
What is the opposite of -7?
7. The opposite of 7 is -7, so the opposite of -7 is 7.
What is the opposite of -59?
The additive inverse is +59, the multiplicative inverse is -1/59
What number is opposite of 90?
Define opposite. The additive inverse is -90, the multiplicative inverse is 1/90
Multiplicative inverse of -3?
The multiplicative inverse of -3 is -(1/3) or negative one-third. The multiplicative inverse of a number is the number that you multiply it by to get a result of 1 (the multiplicative identity). So, since -3 times -(1/3) is 1, -(1/3) is the multiplicative inverse of -3. Similarly, +3 is the ADDITIVE inverse of -3. The additive inverse of a number is the number you add to it to get a result of 0 (the additive identity). So, since -3 + (+3) = 0, +3 is the additive inverse of -3. The original answer given here was that the multiplicative inverse of -3 is +3, which is flat incorrect.
What is the inverse of -7 plus 5?
It depends on whether you mean additive inverse or multiplicative inverse.
What is product additive inverse and multiplicative inverse for each number of -3?
- 1/3
What number is the opposite of 0?
0 is its own additive inverse. There is no multiplicative inverse for 0.
