A bar below a digit in a decimal indicates an infinitely

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 am; Followed by:3 members

A bar below a digit in a decimal indicates an infinitely

by VJesus12 » Mon Apr 08, 2019 5:17 am

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A bar below a digit in a decimal indicates an infinitely repeating decimal.

333,333.3 Ã— (10-3-10-5)(10-3-10-5) =

A. 3,333.3
B. 3,330
C. 333.3
D. 330
E. 0

[spoiler]OA=D[/spoiler]

Source: Princeton Review

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Source: Beat The GMAT — Problem Solving | Mon Apr 08, 2019 5:17 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8085; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Wed Apr 10, 2019 4:37 pm

VJesus12 wrote:A bar below a digit in a decimal indicates an infinitely repeating decimal.

333,333.3 Ã— (10-3-10-5)(10-3-10-5) =

A. 3,333.3
B. 3,330
C. 333.3
D. 330
E. 0

[spoiler]OA=D[/spoiler]

Source: Princeton Review

Note: We are assuming "10-3-10-5" stands for "10^(-3) - 10^(-5)" and also that it has been mistakenly written twice; otherwise the answer we get is not among the answer choices.

Notice that 333,333.3 = 333,333 + 0.3 = 333,333 + 1/3 = 1,000,000/3.

Notice also that 10^(-3) - 10^(-5) = 1/1,000 - 1/100,000 = 100/100,000 - 1/100,000 = 99/100,000.

Then, 333,333.3 x (10^(-3) - 10^(-5)) = 1,000,000/3 x 99/100,000 = 10 x 33 = 330.

Answer: D

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