The additive inverse of a number is what you would add to that number to get zero. For 3, the additive inverse is -3. The multiplicative inverse is what you would multiply by to get one; for 3, the multiplicative inverse is ( \frac{1}{3} ). Thus, the additive inverse of 3 is -3, and the multiplicative inverse is ( \frac{1}{3} ).
-3/2
First convert it into an improper fraction: 5 3/7 becomes 38/7. This is clear because "5" is simply "35/7" (do the math yourself) and 35/7 + 3/7 = 38/7. Additive inverse means "negative." Thus, the "additive inverse" of 38/7 is -38/7. This is true because 38/7 added to -38/7 is 0. That is the definition of an additive inverse. Multiplicative inverse means "reciprocal." Thus, the "multiplicative inverse" of 38/7 is 7/38. This is true because 38/7 multiplied by 7/38 is 266/266, or 1. That is the definition of multiplicative inverse.
3 and a half = 7/2 so its multiplicative inverse is 2/7.
No, it is not. 3/5 is rational and its multiplicative inverse is 5/3 which is not an integer.
The inverse of negative 3, when considering additive inverse, is positive 3, because adding the two together yields zero. If considering multiplicative inverse, it would be (-\frac{1}{3}), as multiplying negative 3 by (-\frac{1}{3}) results in -1. The context determines which type of inverse is being referred to.
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.
- 1/3
38/7 x 7/38 = 1 = multiplicative inverse 38/7 + -38/7 = 0 = additive inverse
-3/2
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.
an inverse element that can 'undo' the effect of combination with another element. For example if we look at the number 3, -3 is its additive inverse since 3+(-3)=0 and zero is the additive identity element. Similarly 1/3 is the multiplicative inverse since 1/3 x 3=1 and 1 is the multiplicative identity.
The reciprocal (multiplicative inverse) of -3 is -1/3.The reciprocal (multiplicative inverse) of -3 is -1/3.The reciprocal (multiplicative inverse) of -3 is -1/3.The reciprocal (multiplicative inverse) of -3 is -1/3.
First convert it into an improper fraction: 5 3/7 becomes 38/7. This is clear because "5" is simply "35/7" (do the math yourself) and 35/7 + 3/7 = 38/7. Additive inverse means "negative." Thus, the "additive inverse" of 38/7 is -38/7. This is true because 38/7 added to -38/7 is 0. That is the definition of an additive inverse. Multiplicative inverse means "reciprocal." Thus, the "multiplicative inverse" of 38/7 is 7/38. This is true because 38/7 multiplied by 7/38 is 266/266, or 1. That is the definition of multiplicative inverse.
The same number....
The multiplicative inverse of -24/7 is -7/24
The multiplicative inverse of 3 1/12 is 12/37.
Flip them upside down. The multiplicative inverse of 2/3 is 3/2