What is Multiplicative Inverse?
The word meaning of ‘inverse’ is something opposite in effect. So, the multiplicative station of a number is a number the nullifies the impact of the number to identification 1. For this reason the multiplicative station of a number is a number through which the multiplication outcomes in 1.
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That is, number b is the multiplicative train station of the number a, if a × b = 1.
For example: here is a team of 7 dimes.
To make them into teams of 1 each, we have to divide the by 7. The division is the reverse process of multiplication. Splitting by a number is indistinguishable to multiply by the mutual of the number.
Thus, 7 ÷7=7 × 1⁄7=1.
Here,1⁄7is called the multiplicative train station of 7. Similarly, the multiplicative inverse of 13 is1⁄13.
Another word for multiplicative station is ‘reciprocal’. It originates from the Latin native ‘reciprocus’ which method returning.
Multiplicative train station of a natural number
In the offered image to make the unit teams of 8 stars, we must divide it by 8.
8 ÷8=8 × 18=1
Thus, the multiplicative train station of 8 is1⁄8.
In general, if a is a natural number, the multiplicative train station or reciprocal of a is1⁄a.
Multiplicative station of a unit fraction
To make a unit fraction, say1⁄4to 1, we need to add it 4 times. Or in other words, multiply1⁄4by 4. Thus, the multiplicative station of1⁄4is 4.
In general, the multiplicative inverse or mutual of unit fraction1⁄xis x.
Multiplicative station of a fraction
By what number need to we main point the fraction3⁄4to get 1?
By the nature of equality, if us multiply or division both sides of one equation by the very same number the equation remains true. So, by multiply the equation through 4 and dividing it by 3 on both sides offers us
3⁄4× ? × 4 ÷3 =1×4 ÷3
3⁄4× ? ×4⁄3=4⁄3
Canceling the common terms:
1× ? =4⁄3
Thus, the multiplicative inverse of3⁄4is4⁄3.
The multiplicative station or mutual of a fractiona⁄bisb⁄a.
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Fun facts:The multiplicative inverse of zero is no defined.The multiplicative inverse of 1 is 1 itself.