SOLUTION: Prove that the given number is rational or not. 1. 320.5492492492..... 2. 52.4672167216721.... Step by Step

Question 860314: Prove that the given number is rational or not.
1. 320.5492492492.....
2. 52.4672167216721....
Step by Step
Answer by 1335(25) (Show Source): You can put this solution on YOUR website!
A rational number can be defined as a number with a terminal or repeating decimal. Based on this definiton, both 1. and 2. are rational. In 1.: the repeating decimal is "492". Remember, the decimal doesn't have to repeat from the start. It just has to repeat at some point. In 2.: the deciaml repeats at "6721". They are therefore both rational because they both contain a repeating decimal.
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