If I buy Numbers for my iMac (OSX), do I have to buy Numbers for IOS separately?

I see that Numbers for OS X is $19.99 and for IOS is $9.99. In order to share Numbers files through iCloud on all my devices, do I have to buy both?
Thanks

Yes. They are two different hardware platforms and different programming languages. One cannot run on the other any more than Office for Windows can run on a Mac.

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