Question
Find the multiplicative inverse of 10−7.
Answer: Option C
:
C
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:
C
Multiplicative inverse of a non-zero x is 1x; so that when these two are multiplied, the product value is 1. Therefore, the multiplicative inverse of 10−7should be a number which when multiplied with 10−7 gives 1.
Let the multiplicative inverse of 10−7 be x.
Then, 10−7×x=1.
⇒x=110−7=107
(∵a−n=1an⟹1a−n=11an=an)
Thus, the multiplicative inverse of 10−7 is 107.
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