Math and Arithmetic

# What is the multiplcative inverse of negative 3?

###### Wiki User

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.

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###### Wiki User

The reciprocal (multiplicative inverse) of -3 is -1/3.

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## Related Questions

Flip it upside down. Now you have negative three over four. That's your multiplicative inverse (reciprocal) -3/4

If the multiplicative inverse of a number is the number that you could multiply with the original number in order to obtain one, then the mulitplicative inverse of -15 and 2/3 is -3/47 negative three fourtysevenths, or negative three over fourtyseven.

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.

No. The additive inverse of zero or a negative rational number is not negative.

The multiplicative inverse is the negative of the reciprocal of the positive value. Thus the multiplicative inverse of -7 is -1/7.

never a negative number * * * * * ... true if, by opposite, you mean the additive inverse. However, the multplicative inverse is also an opposite. And the multiplicative inverse of a negative number is always negative.

-2/3 -> [mult.inverse] -> -3/2 which is -1&Acirc;&frac12;or -1.5 ; note that a number, when multiplied by its multiplicative inverse will have a product of 1. So if you multiply these two you get 6/6 which equals 1 [negative times negative is positive].

0/5 is 0 and the negative additive inverse is also 0. The negative multiplicative inverse is not defined, since that would require division by 0.

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.

The additive inverse for a number is its negative value. The sum of an integer and its additive inverse is zero. For the example (5), the additive inverse would be (-5).

A number and its multiplicative inverse have the same sign. So if one is negative, so is the other.

As far as positive numbers are concerned, the additive inverse of a positive number is a negative number with the same magnitude (i.e. the additive inverse of 5 is -5). It would be wrong to simply say that "negative" and "additive inverse" are correct, because the additive inverse of a negative number is a positive number.

negative of a number gives its additive inverse

The answer has to do with the fundamental properties of operations on numbers (the notions of "addition", "subtraction", "multiplication", and "division"). Each number has an "additive inverse" associated to it (a sort of "opposite" number), which when added to the original number gives zero. This is in fact the reason why the negative numbers were introduced: so that each positive number would have an additive inverse. For example, the inverse of 3 is -3, and the inverse of -3 is 3. Note that when you take the inverse of an inverse you get the same number back again: "-(-3)" means "the inverse of -3", which is 3 (because 3 is the number which, when added to -3, gives zero). To put it another way, if you change sign twice, you get back to the original sign. Now, any time you change the sign of one of the factors in a product, you change the sign of the product: (-something) &times; (something else) is the inverse of (something) &times; (something else), because when you add them (and use the fact that multiplication needs to distribute over addition), you get zero. For example, (-3) &acute; (-4) is the inverse of (3) &acute; (-4) because when you add them and use the distributive law, you get . (-3) &acute; (-4) + (3) &acute; (-4) = (-3 + 3) &acute; (-4) = 0 &acute; (-4) = 0 So (-3) &acute; (-4) is the inverse of (3) &acute; (-4) , which is itself (by similar reasoning) the inverse of 3 &acute; 7. Therefore, (-3) &acute; (-4) is the inverse of the inverse; in other words, the inverse of -12 in other words, 12. The fact that the product of two negatives is a positive is therefore related to the fact that the inverse of the inverse of a positive number is that positive number back again.

The additive inverse of EVERY positive rational number is a negative number.

-2 (negative two) The multiplicative inverse (reciprocal) for a number x is 1/x.

The "additive inverse" is essentially the NEGATIVE of a number. The term is used to avoid confusion when taking the negative of a negative integer. The additive inverse of any number n is (-1)n.

multiply it by zero, or add its inverse {the negative of the number} Note that the inverse of a negative number is positive.

Write the equation of the line in the standrad form: y = mx + c The slope of this line is m The inverse of the slope is then 1/m. Note, that for a line perpendicular to the first, you need the negative inverse, not just the inverse. And the negative inverse of m is -1/m.

Additive Inverse would be the number that when added to a given number creates a total of zero. The additive inverse for any negative number would be the positive counterpart. The additive inverse of -5 is 5. The additive inverse of -2 is 2, since -2 + 2 = 0.

To subtract number is the same as adding the additive inverse. 12 - (-3) is therefore the same as 12 + (+3) or simply 12 + 3.

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