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a. Show that between any two terminating decimals, there is another terminating decimal. b. Argue that part (a) can be used to show that there are infinitely many terminating decimals between any two terminating decimals. a. Start with the two terminating decimals 0.1 and 0.2. The terminating decimal half way between 0.1 and 0.2 is . The decimal half way between 0.1 and the new decimal is. The next middle decimal is This process can be continued indefinitely. (Type integers or decimals.) b. Choose the correct answer below. O A. The process in part (a) is a recursive process with a defined end point so it cannot be used to show that there are infinitely many terminating decimals between any two terminating decimals. B. The process in part (a) is an explicit process with a defined end point so it cannot be used to show that there are infinitely many terminating decimals between any two terminating decimals. O C. The process in part (a) is an explicit process; no matter how small the difference between the terminating decimals, that difference can be divided. O D. The process in part (a) is a recursive process; no matter how small the difference between the terminating decimals, that difference can be divided.

a. Show that between any two terminating decimals, there is another terminating decimal. b. Argue that part (a) can be used to show that there are infinitely many terminating decimals between any two terminating decimals. a. Start with the two terminating decimals 0.1 and 0.2. The terminating decimal half way between 0.1 and 0.2 is . The decimal half way between 0.1 and the new decimal is. The next middle decimal is This process can be continued indefinitely. (Type integers or decimals.) b. Choose the correct answer below. O A. The process in part (a) is a recursive process with a defined end point so it cannot be used to show that there are infinitely many terminating decimals between any two terminating decimals. B. The process in part (a) is an explicit process with a defined end point so it cannot be used to show that there are infinitely many terminating decimals between any two terminating decimals. O C. The process in part (a) is an explicit process; no matter how small the difference between the terminating decimals, that difference can be divided. O D. The process in part (a) is a recursive process; no matter how small the difference between the terminating decimals, that difference can be divided.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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a. Show that between any two terminating decimals, there is another terminating decimal. b. Argue that part (a) can be used to show that there are infinitely many terminating decimals between any two terminating decimals. a. Start with the two terminating decimals 0.1 and 0.2. The terminating decimal half way between 0.1 and 0.2 is . The decimal half way between 0.1 and the new decimal is. The next middle decimal is This process can be continued indefinitely. (Type integers or decimals.) b. Choose the correct answer below. O A. The process in part (a) is a recursive process with a defined end point so it cannot be used to show that there are infinitely many terminating decimals between any two terminating decimals. B. The process in part (a) is an explicit process with a defined end point so it cannot be used to show that there are infinitely many terminating decimals between any two terminating decimals. O C. The process in part (a) is an explicit process; no matter how small the difference between the terminating decimals, that difference can be divided. O D. The process in part (a) is a recursive process; no matter how small the difference between the terminating decimals, that difference can be divided.
Transcribed Image Text:a. Show that between any two terminating decimals, there is another terminating decimal. b. Argue that part (a) can be used to show that there are infinitely many terminating decimals between any two terminating decimals. a. Start with the two terminating decimals 0.1 and 0.2. The terminating decimal half way between 0.1 and 0.2 is . The decimal half way between 0.1 and the new decimal is. The next middle decimal is This process can be continued indefinitely. (Type integers or decimals.) b. Choose the correct answer below. O A. The process in part (a) is a recursive process with a defined end point so it cannot be used to show that there are infinitely many terminating decimals between any two terminating decimals. B. The process in part (a) is an explicit process with a defined end point so it cannot be used to show that there are infinitely many terminating decimals between any two terminating decimals. O C. The process in part (a) is an explicit process; no matter how small the difference between the terminating decimals, that difference can be divided. O D. The process in part (a) is a recursive process; no matter how small the difference between the terminating decimals, that difference can be divided.
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