Elenor and Harold are discussing how to write the repeating decimal a 0.137 as a fraction. 13767 Harold says that 0.0137 equals "I calculated 1000x 137.777 because the decimal 99900 %3D begins repeating after 3 digits. Then I subtracted to get 999x = 137.64. Then I multiplied by 100 to get rid of the decimal: 99900a = 13764. And finally I divided to get a = 13764 " 99900 • Elenor says that 0.137 equals 124 900 "I calculated 10a = 1.377 because one digit repeats. Then I subtracted to get 9x 1.24. Then I did what Harold did to get 900a = 124 and a = 124 %3D 900 Who is correct? Elenor Harold O Elenor and Harold O Neither Elenor nor Harold

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Elenor and Harold are discussing how to write the repeating decimal a 0.137 as a fraction.
%3D
• Harold says that 0.0137 equals
13767
"I calculated 1000x 137.777 because the decimal
99900
begins repeating after 3 digits. Then I subtracted to get 999x =
137.64. Then I multiplied by
100 to get rid of the decimal: 99900a = 13764. And finally I divided to get a =
13764
99900
%3D
124
Elenor says that 0.137 equals
900
"I calculated 10a
1.377 because one digit repeats. Then I
subtracted to get 9x 1.24. Then I did what Harold did to get 900x = 124 and a =
124 .
900
Who is correct?
Elenor
O Harold
Elenor and Harold
O Neither Elenor nor Harold
Transcribed Image Text:Elenor and Harold are discussing how to write the repeating decimal a 0.137 as a fraction. %3D • Harold says that 0.0137 equals 13767 "I calculated 1000x 137.777 because the decimal 99900 begins repeating after 3 digits. Then I subtracted to get 999x = 137.64. Then I multiplied by 100 to get rid of the decimal: 99900a = 13764. And finally I divided to get a = 13764 99900 %3D 124 Elenor says that 0.137 equals 900 "I calculated 10a 1.377 because one digit repeats. Then I subtracted to get 9x 1.24. Then I did what Harold did to get 900x = 124 and a = 124 . 900 Who is correct? Elenor O Harold Elenor and Harold O Neither Elenor nor Harold
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,