What is Multiplicative Inverse?
The word an interpretation 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. Therefore the multiplicative station of a number is a number whereby the multiplication outcomes in 1.
You are watching: Multiplicative inverse of 1/4
That is, number b is the multiplicative train station of the number a, if a × b = 1.
For example: below is a team of 7 dimes.
To do them into teams of 1 each, we should divide the by 7. The department is the reverse procedure of multiplication. Dividing by a number is tantamount to multiplying by the reciprocal of the number.
Thus, 7 ÷7=7 × 1⁄7=1.
Here,1⁄7is referred to as the multiplicative station of 7. Similarly, the multiplicative inverse of 13 is1⁄13.
Another word for multiplicative train station is ‘reciprocal’. It originates from the Latin word ‘reciprocus’ which way returning.
Multiplicative station of a natural number
In the provided image to make the unit teams of 8 stars, we should divide it by 8.
8 ÷8=8 × 18=1
Thus, the multiplicative train station of 8 is1⁄8.
In general, if a is a herbal number, the multiplicative station or mutual of a is1⁄a.
Multiplicative train station of a unit fraction
To do a unit fraction, say1⁄4to 1, we require to add it 4 times. Or in various other words, multiply1⁄4by 4. Thus, the multiplicative inverse of1⁄4is 4.
In general, the multiplicative train station or mutual of unit fraction1⁄xis x.
Multiplicative inverse of a fraction
By what number should we main point the fraction3⁄4to get 1?
By the nature of equality, if we multiply or division both sides of one equation through the same number the equation remains true. So, by multiply the equation by 4 and dividing the by 3 on both sides provides us
3⁄4× ? × 4 ÷3 =1×4 ÷3
3⁄4× ? ×4⁄3=4⁄3
Canceling the typical terms:
1× ? =4⁄3
Thus, the multiplicative station of3⁄4is4⁄3.
The multiplicative inverse or reciprocal of a fractiona⁄bisb⁄a.
See more: Name A Good Present To Give A Werewolf ? What Is A Good Present To Give To A Werewolf
Fun facts:The multiplicative station of zero is not defined.The multiplicative station of 1 is 1 itself.