SOLUTION: How might you argue that there are infinitely many terminating decimals between any two specific terminating decimals such as 0.0625 and 0.125?
Thanks so much.
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Question 232013: How might you argue that there are infinitely many terminating decimals between any two specific terminating decimals such as 0.0625 and 0.125?
Thanks so much.
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
0.0625 = 1/16
0.125 = 1/8
The midpoint of 1/16 and 1/8 is between the two numbers: 3/32.
From there, you can find the midpoint between 1/16 and 3/32. You can also find the midpoint between 3/32 and 1/8. You can extend this forever.
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