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# If d = 2.0453 and d* is the decimal obtained by rounding d to the near

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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
d=2.0453 rounded to the nearest hundredth is 2.0450=d*. So d*-d=-0.0003. Answer B
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
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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
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
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+1 for D

2.0453 rounded to nearest hundredth is 2.05
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
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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).
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
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Rounded to nearest 100 d=2.0500
Hence d*-d=2.0500-2.0453=.0047
Ans D
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
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

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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
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?
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
gaurav1418z wrote:
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?

No, it should be as written.

When rounding to the nearest tenth the FIRST dropped digit is 4, less than 5, thus 5.3485 rounded to the nearest tenth = 5.3.
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Sorry a little confused Bunuel

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?
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
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Many Thanks Bunuel, i get it now.
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
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Here D* = 2.05 as the next digit immediately after the hundredths is 5.

Hence D*-D=0.0047 => Smash that D
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
when 2.0453 rounded to nearest hundredth then it will become 2.05

Now 2.05-2.0453=0.0047
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Hi,

As the hundredth digit is an even number before 5, isn't 2.0453 should be 2.04?

Hence 2.04 - 2.0453 = -0.0053?

Please correct me if I am wrong.

Thanks
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Codebug4it wrote:
Hi,

As the hundredth digit is an even number before 5, isn't 2.0453 should be 2.04?

Hence 2.04 - 2.0453 = -0.0053?

Please correct me if I am wrong.

Thanks

Rounding rules explained in detail in this post: https://gmatclub.com/forum/if-d-2-0453- ... l#p1323005
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
Thank you Bunuel for the link.
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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
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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

Solution:

We see that d* = 2.05, which is the value of d when rounded to the nearest hundredth. Therefore, d* - d = 2.05 - 2.0453 = 0.0047.

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Re: If d = 2.0453 and d* is the decimal obtained by rounding d to the near [#permalink]
2.0453 rounding the nearest hundredth is 2.05

2.0453 + .0007 = 2.0460
2.0460 + .0040 = 2.0500