If m = 0.008163 and M the decimal obtained by rounding m to

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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Mon Jun 04, 2018 9:11 am

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If m = 0.008163 and M is the decimal obtained by rounding to the nearest to ten thousandths, what is the value of M + m?

A. 0.0016
B. 0.016263
C. 0.016363
D. 0.162
E. 1.6

The OA is C.

Please, can anyone explain this PS question? I tried to solve it but I can't get the correct answer. I need help. Thanks.

Source: Beat The GMAT — Problem Solving | Mon Jun 04, 2018 9:11 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Mon Jun 04, 2018 9:21 am

swerve wrote:If m = 0.008163 and M is the decimal obtained by rounding to the nearest to ten thousandths, what is the value of M + m?

A. 0.0016
B. 0.016263
C. 0.016363
D. 0.162
E. 1.6

Given: m = 0.008163

The digit 1 is in ten thousandth place of 0.008163
Since next digit (in the hundred thousandth position) is greater than 4, we must ROUND UP

So, when we round 0.008163 to the nearest to ten thousandth, we get: 0.0082
In other words, M = 0.0082

So, M + m = 0.0082 + 0.008163
= 0.016363

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Jun 12, 2018 10:16 am

swerve wrote:If m = 0.008163 and M is the decimal obtained by rounding to the nearest to ten thousandths, what is the value of M + m?

A. 0.0016
B. 0.016263
C. 0.016363
D. 0.162
E. 1.6

0.008163 rounded to the nearest ten thousandth is 0.0082.

So M + m is 0.0082 + 0.008163 = 0.016363.

Answer: C

Scott Woodbury-Stewart
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