Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44423

If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
28 Jan 2014, 02:06
Question Stats:
79% (00:43) correct 21% (00:50) wrong based on 685 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionIf d = 2.0453 and d* is the decimal obtained by rounding d to the nearest hundredth, what is the value of d*  d ? (A) 0.0053 (B) 0.0003 (C) 0.0007 (D) 0.0047 (E) 0.0153 Problem Solving Question: 65 Category: Arithmetic Operations on rational numbers Page: 70 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Math Expert
Joined: 02 Sep 2009
Posts: 44423

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
28 Jan 2014, 02:06
4
This post received KUDOS
Expert's post
4
This post was BOOKMARKED
SOLUTIONIf d = 2.0453 and d* is the decimal obtained by rounding d to the nearest hundredth, what is the value of d*  d ?(A) 0.0053 (B) 0.0003 (C) 0.0007 (D) 0.0047 (E) 0.0153 2.0453 rounding the nearest hundredth is 2.05, thus d*  d = 2.05  2.0453 = 0.0047. Answer: D. Rounding rulesRounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, round up the last digit that you keep. If the first dropped digit is 4 or smaller, round down (keep the same) the last digit that you keep.Example: 5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5. 5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5. 5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 10 Apr 2012
Posts: 46
Concentration: Finance
WE: Analyst (Commercial Banking)

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
28 Jan 2014, 03:36
d=2.0453 rounded to the nearest hundredth is 2.0450=d*. So d*d=0.0003. Answer B



Director
Joined: 25 Apr 2012
Posts: 720
Location: India
GPA: 3.21
WE: Business Development (Other)

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
28 Jan 2014, 10:26
1
This post received KUDOS
Bunuel wrote: If d = 2.0453 and d* is the decimal obtained by rounding d to the nearest hundredth, what is the value of d*  d ?
(A) 0.0053 (B) 0.0003 (C) 0.0007 (D) 0.0047 (E) 0.0153
] Sol: given d=2.0453 so when rounded to nearest hundredth will be 2.05 so d*  d = 2.05.  2.0453 = 0.0047 Ans D
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”



Intern
Joined: 02 Oct 2013
Posts: 12

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
28 Jan 2014, 13:06
1
This post received KUDOS
+1 for D
2.0453 rounded to nearest hundredth is 2.05



Manager
Status: GMATting
Joined: 21 Mar 2011
Posts: 108
Concentration: Strategy, Technology

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
28 Jan 2014, 23:30
1
This post received KUDOS
d = 2.0453; Here, the hundredth digit is 4 and thousandth's digit is 5; Therefore, rounding off to the hundredth digit to a higher number will give 2.05; So, d* = 2.05;
d*  d = 2.05  2.0453 = 0.0047;
Ans is (D).



Senior Manager
Joined: 20 Dec 2013
Posts: 266
Location: India

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
29 Jan 2014, 03:17
1
This post received KUDOS
Rounded to nearest 100 d=2.0500 Hence d*d=2.05002.0453=.0047 Ans D



Math Expert
Joined: 02 Sep 2009
Posts: 44423

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
01 Feb 2014, 08:30
SOLUTIONIf d = 2.0453 and d* is the decimal obtained by rounding d to the nearest hundredth, what is the value of d*  d ?(A) 0.0053 (B) 0.0003 (C) 0.0007 (D) 0.0047 (E) 0.0153 2.0453 rounding the nearest hundredth is 2.05, thus d*  d = 2.05  2.0453 = 0.0047. Answer: D. Rounding rulesRounding is simplifying a number to a certain place value. To round the decimal drop the extra decimal places, and if the first dropped digit is 5 or greater, round up the last digit that you keep. If the first dropped digit is 4 or smaller, round down (keep the same) the last digit that you keep.Example: 5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5. 5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5. 5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 04 Oct 2013
Posts: 161
Location: India
GMAT Date: 05232015
GPA: 3.45

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
02 Feb 2014, 07:45
If d = 2.0453 and d* is the decimal obtained by rounding d to the nearest hundredth, what is the value of d*  d ?
(A) 0.0053 (B) 0.0003 (C) 0.0007 (D) 0.0047 (E) 0.0153
d = 2.0453
Rounding d to the nearest hundredth, d* = 2.05
So, d*  d = 2.05  2.0453 = 0.0047
Answer: (D)



Intern
Joined: 25 Jan 2014
Posts: 46
Concentration: Strategy, International Business
GMAT 1: 600 Q44 V29 GMAT 2: 710 Q48 V38
GPA: 3.35
WE: Analyst (Computer Software)

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
11 May 2014, 15:21
Hi Buenel
Quick one
You quoted : 5.3485 rounded to the nearest tenth is 5.3, since the dropped 4 is less than 5.
But shouldnt it be 5.4 , as 5.3485 rounded to nearest thousand = 5.349, rounded to nearest hundred = 5.35 and hence rounded to nearest ten = 5.4?



Math Expert
Joined: 02 Sep 2009
Posts: 44423

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
12 May 2014, 00:07



Intern
Joined: 25 Jan 2014
Posts: 46
Concentration: Strategy, International Business
GMAT 1: 600 Q44 V29 GMAT 2: 710 Q48 V38
GPA: 3.35
WE: Analyst (Computer Software)

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
12 May 2014, 02:49
Sorry a little confused Bunuel
You stated in your posts
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5. 5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5. 5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.
I get the logic of the second and the third statement. As per second statement , 5.3485 rounded to hundredth= 5.35, and hence if we go ahead and further round 5.35 to the nearest tenth , shouldnt we get 5.4
If it was 5.34, it should yield 5.3, but for 5.3x, where x= 5,6,7,8,9 , shouldnt it round off to 5.4?



Math Expert
Joined: 02 Sep 2009
Posts: 44423

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
12 May 2014, 02:56
gaurav1418z wrote: Sorry a little confused Bunuel
You stated in your posts
5.3485 rounded to the nearest tenth = 5.3, since the dropped 4 is less than 5. 5.3485 rounded to the nearest hundredth = 5.35, since the dropped 8 is greater than 5. 5.3485 rounded to the nearest thousandth = 5.349, since the dropped 5 is equal to 5.
I get the logic of the second and the third statement. As per second statement , 5.3485 rounded to hundredth= 5.35, and hence if we go ahead and further round 5.35 to the nearest tenth , shouldnt we get 5.4
If it was 5.34, it should yield 5.3, but for 5.3x, where x= 5,6,7,8,9 , shouldnt it round off to 5.4? Rounding is not cumulative, that is we are NOT rounding first to the hundredth and only then to the tenth. We are rounding directly to the tenth digit based on the hundredth digit. Thus, the only thing we are interested in when rounding to the nearest tenth is the hundredth digit, the only thing we are interested when rounding to the nearest hundredth is the thousandth digit, and so on.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 25 Jan 2014
Posts: 46
Concentration: Strategy, International Business
GMAT 1: 600 Q44 V29 GMAT 2: 710 Q48 V38
GPA: 3.35
WE: Analyst (Computer Software)

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
12 May 2014, 03:01
1
This post received KUDOS
Many Thanks Bunuel, i get it now.



BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2509
GRE 1: 323 Q169 V154

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
28 Aug 2016, 18:32
1
This post received KUDOS



Intern
Joined: 18 Sep 2016
Posts: 49

If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
28 Sep 2016, 02:57
sorry Bunuel, it is not completely clear to me. I've a question: if n was 2.0450 how would you approximate it to the nearest hundredth? 2.05 and 2.04 have the same distance from n (0.005)
_________________
Please press Kudos if you like my post



NonHuman User
Joined: 09 Sep 2013
Posts: 6557

Re: If d = 2.0453 and d* is the decimal obtained by rounding d [#permalink]
Show Tags
18 Oct 2017, 02:05
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: If d = 2.0453 and d* is the decimal obtained by rounding d
[#permalink]
18 Oct 2017, 02:05






