GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If 100,000 microns =1 decimeter, and $1,000,000,000
[#permalink]
29 Dec 2025, 03:49
29 Dec 2025, 03:49
Expert Reply
00:00
Question Stats:
100% (00:40) correct
0% (00:00) wrong based on 1 sessions
Hide Show timer Statistics
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
A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000
- Part of the project: GRE Daily Quant Challenge - Topic-Wise 2025!!!
- Also replying to the unanswered questions
Re: If 100,000 microns =1 decimeter, and $1,000,000,000
[#permalink]
18 Jan 2026, 03:18
18 Jan 2026, 03:18
Expert Reply
To find how many angstroms equal 1 micron, we can set the two measurements that are both equal to 1 decimeter equal to each other.
1. Set up the equation
Given:
- 100,000 microns $=1$ decimeter
- $1,000,000,000$ angstroms $=1$ decimeter
Therefore:
$$
\(100,000 \text { microns }=1,000,000,000 \text { angstroms }\)
$$
2. Solve for 1 micron
To find the value of 1 micron, divide both sides of the equation by 100,000 :
$$
\(1 \text { micron }=\frac{1,000,000,000 \text { angstroms }}{100,000}\)
$$
3. Simplify the division
Using scientific notation to make the calculation easier:
- $\(100,000=10^5\)$
- $\(1,000,000,000=10^9\)$
$$
\(\begin{gathered}
1 \text { micron }=\frac{10^9}{10^5} \text { angstroms } \\
1 \text { micron }=10^{(9-5)} \text { angstroms } \\
1 \text { micron }=10^4 \text { angstroms } \\
1 \text { micron }=10,000 \text { angstroms }
\end{gathered}\)
$$
Correct Option: D. 10,000
1. Set up the equation
Given:
- 100,000 microns $=1$ decimeter
- $1,000,000,000$ angstroms $=1$ decimeter
Therefore:
$$
\(100,000 \text { microns }=1,000,000,000 \text { angstroms }\)
$$
2. Solve for 1 micron
To find the value of 1 micron, divide both sides of the equation by 100,000 :
$$
\(1 \text { micron }=\frac{1,000,000,000 \text { angstroms }}{100,000}\)
$$
3. Simplify the division
Using scientific notation to make the calculation easier:
- $\(100,000=10^5\)$
- $\(1,000,000,000=10^9\)$
$$
\(\begin{gathered}
1 \text { micron }=\frac{10^9}{10^5} \text { angstroms } \\
1 \text { micron }=10^{(9-5)} \text { angstroms } \\
1 \text { micron }=10^4 \text { angstroms } \\
1 \text { micron }=10,000 \text { angstroms }
\end{gathered}\)
$$
Correct Option: D. 10,000
gmatclubot
Re: If 100,000 microns =1 decimeter, and $1,000,000,000 [#permalink]
18 Jan 2026, 03:18
Moderators:
