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What happen to the ten diggit number and the one diggit number when you add ten

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1.) Another 0 diggit is simply added behind the number you adding it to. 2.) Or the 1 in the 10's place number is added to the 10's place number of another number. 

For instance: (1.) 1+10=11, (2.) 1,000,000,000+10=1,000,000,010