Advertisements
Advertisements
Question
The multiplicative inverse of `-1 1/7` is ______.
Options
`8/7`
`(-8)/7`
`7/8`
`7/(-8)`
Advertisements
Solution
The multiplicative inverse of `-1 1/7` is `underlinebb(7/(-8))`.
Explanation:
We know that, if the product of two rational numbers is 1, then they are multiplicative inverse of each other.
Given number is `-1 1/7`, i.e. `(-8)/7`.
Let the multiplication inverse of `(- 8)/7` be x.
⇒ `(-8)/7 xx x = 1`
⇒ `x = 1 xx ((-7)/8)` ...[By cross-multiplication]
= `(-7)/8` or `7/(-8)`
Hence, `(-7)/8` is the multiplicative inverse of `(-8)/7`.
APPEARS IN
RELATED QUESTIONS
Multiply `6/13` by the reciprocal of `-7/16`
Is 0.3 the multiplicative inverse of 3 `1/3` ? Why or why not?
Verify the additive and multiplicative inverse property for the rational numbers `(-7)/17` and `17/27`
The reciprocal of 1 is ______.
If y be the reciprocal of rational number x, then the reciprocal of y will be ______.
The reciprocal of a negative rational number is ______.
`7/11` of all the money in Hamid’s bank account is Rs. 77,000. How much money does Hamid have in his bank account?
Find the multiplicative inverse of `3 1/3`
Find `0 ÷ 2/3`
One fruit salad recipe requires `1/2` cup of sugar. Another recipe for the same fruit salad requires 2 tablespoons of sugar. If 1 tablespoon is equivalent to `1/16` cup, how much more sugar does the first recipe require?
