Division is the inverse of multiplication because it inverts multiplication's results. For example, 3 x 4 = 12, but 12 / 4 = 3.
inverse property of multiplication
The inverse operation of addition is subtraction. The inverse multiplication by a number other than 0 is division. Multiplication by 0 does not have an inverse operation.
Operations that undo each other are called inverse operations. Division is the inverse of multiplication as it undoes the multiplication. eg 3 × 7 = 21; 21 ÷ 7 = 3. Note that there is NO inverse for multiplying by 0.
Does the pseudo complex number 3+t have multiplication inverse
the inverse of addition is subtraction and the inverse of multiplication is division. Of course, multiplication is just repeated addition so division is just repeated subtraction!
The inverse of multiplication is division.
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.
They are inverse because they are the opposites.
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) × (something else) is the inverse of (something) × (something else), because when you add them (and use the fact that multiplication needs to distribute over addition), you get zero. For example, (-3) ´ (-4) is the inverse of (3) ´ (-4) because when you add them and use the distributive law, you get . (-3) ´ (-4) + (3) ´ (-4) = (-3 + 3) ´ (-4) = 0 ´ (-4) = 0 So (-3) ´ (-4) is the inverse of (3) ´ (-4) , which is itself (by similar reasoning) the inverse of 3 ´ 7. Therefore, (-3) ´ (-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.
Multiplication and division are inverse operations. Addition and subtraction are inverse operations too. Basically, is 5x3=15, then 15/3=5.
Multiplication is the inverse operation to division.
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.
Multiplication is the inverse operation of division.
The inverse function of multiplication is division.
Flip it upside down. Now you have negative three over four. That's your multiplicative inverse (reciprocal) -3/4
The inverse of multiplication is division. * * * * * The inverse of the operation of multiplication is division, as stated in the above answer, but another name for the multiplicative inverse is a reciprocal.