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# If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci

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Math Expert
Joined: 02 Sep 2009
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If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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27 Mar 2015, 05:43
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If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000

Kudos for a correct solution.

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Joined: 17 Feb 2015
Posts: 27
GPA: 3
Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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27 Mar 2015, 05:57
So, we have a=c and b=c ; therefore a =b
100,000 microns = 1,000,000,000 angstroms
Therefore, 1 micron = 10,000 angstroms. (Cancel out 5 zeros from both sides). Option D.
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Joined: 07 Aug 2011
Posts: 518
GMAT 1: 630 Q49 V27
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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27 Mar 2015, 09:43
2
Bunuel wrote:
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000

Kudos for a correct solution.

$$\frac{1,000,000,000}{100,000} =10,000$$

D
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Joined: 21 May 2013
Posts: 655
Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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28 Mar 2015, 08:25
Bunuel wrote:
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000

Kudos for a correct solution.

100,000 microns=1,000,000,000 angstroms
Therefore, Angstroms/microns=10,000
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Joined: 06 Nov 2014
Posts: 1877
Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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29 Mar 2015, 08:54
1
Bunuel wrote:
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000

Kudos for a correct solution.

Given that 100,000 microns = 1 decimeter
So, 1 micron = (1 * 1)/100,000
= 1/100,000 decimeter

Also, 1 decimeter = 1,000,000,000 angstorm
So, 1/100,000 decimeter = [(1/100,000) * 1,000,000,000]/1
= 10,000

Hence option (D).

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Math Expert
Joined: 02 Sep 2009
Posts: 56304
Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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30 Mar 2015, 04:12
Bunuel wrote:
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:
Attachment:

Arithmetic_Decimeters.png [ 19.43 KiB | Viewed 4300 times ]

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Math Expert
Joined: 02 Sep 2009
Posts: 56304
Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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30 Mar 2015, 04:13
Bunuel wrote:
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000

Kudos for a correct solution.

Check other Conversion problems to practice in Special Questions Directory.
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Joined: 12 May 2014
Posts: 3
GMAT Date: 09-30-2014
Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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30 Mar 2015, 04:34
Bunuel wrote:
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000

Kudos for a correct solution.

In Our School days we use to solve wavelength questions through (for physics lover)

1A--10^(-10)m
1 micron ----106(-6)m
so if we divide one by another we will get 1 micron ----10^4 angstrom
Manager
Joined: 18 Dec 2014
Posts: 99
Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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30 Mar 2015, 09:40
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000

100,000 microns = 1 dec
1,000,000,000 angstroms = 1 dec

stripe of 5 0's in micron/dec line
stripe of 5 0's in the angstrom/dec line

You are left with 4 0's = 10,000

D.
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Posts: 1787
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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30 Mar 2015, 19:37
1
Converting the given information in exponent form & re-writing

$$10^5 microns = 10^9 angstroms$$

1 micron $$= 10^{9-5} = 10000$$ angstroms

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If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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22 Jul 2017, 22:47
Micron=Decimeter=Angstroms

$$1*10ˆ5=1=1*10ˆ9$$
or
$$1=1*10ˆ9/1*10ˆ5=1*10ˆ9-ˆ5=1*10ˆ4=10000$$
Manager
Joined: 20 Jul 2018
Posts: 87
GPA: 2.87
Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci  [#permalink]

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18 Aug 2018, 09:57
100,000 microns = 1,000,000,000 angstroms

so 1 micron = 10,000 angstroms
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Re: If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 deci   [#permalink] 18 Aug 2018, 09:57
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