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The Big Challenge

Zzero! Will you stop bouncing around like this, please?

I'm happy so I'm bouncing. I can take on so many shapes.

Stop boasting. Do you know how many numbers you can make up? 0, 10s, 100s, 1000s and 10,000s. That's a lot of numbers. 0, 10, 20, 30, ....90, 100, 101, 110, 200, 201, 210, ....

Please stop! I want to find out how many numbers exist between 0 and 10,000 with one or more zeroes in them. The first one is 0 and the last is 10,000 so that makes two....

Zzero, hats off to you for saying you will take up such a BIG challenge. I think you should first try to find out how many numbers have one or more zeroes between 0 and 1000.
Readers, can you help us please?

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