Answer
The IUPAC name of the compound is
3-cyclopropyl-1,1-dimethylcyclohexane
Work Step by Step
Rules for naming cycloalkanes
1. Count the number of carbon atoms in the ring.
2. If there are substituents attached to the ring, count the number of atoms in the substituents.
If the number of carbon atoms in the ring is equal to or greater than the number of carbon in the longest susbtituent, the compound is named an alkyl-substituted cycloalkane.
If the number of carbon atoms in the longest susbtituent is greater than the number of carbons in the ring, the compound is named as a cycloalkyl-substituted alkane.
In this case, there is another ring attached as a substituent and so, the ring with more number of carbon atoms is chosen as the main ring and hence the cyclopropane ring is listed as a substituent while naming the compound.
3. If more than one substituents are present, they are numbered in such a way such that the next substituent gets the lowest possible number. Also, the substituents are listed alphabetically.
4. When two or more substituents are present on the same carbon, the numbering of substituents starts from that carbon itself.