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Originally coins were different sizes because their values were determined by how much metal they contained. For example, a US dime had roughly 10 cents worth of silver in it, a British sovereign had roughly a pound's worth of gold, etc. People could associate a coin's value with its size, making it easy to tell them apart.

Even though circulating coins today don't have any precious metals in them, different sizes still help people to easily distinguish one coin from another without looking at its design or denomination. Having different sizes also facilitates the use of mechanical sorting equipment. Mixed coins are passed through a kind of filter with holes of increasing sizes. The smallest coins drop through the smallest holes first, the next size coins drop through the second set of holes, and so on, and are collected in bins.

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Q: Why are coins different sizes?
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