Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![---
### Question
"9 \cdot 10^7" is how many times as large as "3 \cdot 10^3"?
### Multiple Choice Options
A. \( 3 \cdot 10^4 \)
B. \( 27 \cdot 10^4 \)
C. Blank (Option not visible)
D. \( 27 \cdot 10^{10} \)
---
#### Explanation
In this problem, you are asked to determine how many times larger \( 9 \cdot 10^7 \) is compared to \( 3 \cdot 10^3 \).
1. Firstly, convert the scientific notation to standard form:
- \( 9 \cdot 10^7 = 90,000,000 \)
- \( 3 \cdot 10^3 = 3,000 \)
2. Divide the larger number by the smaller number:
\[
\frac{90,000,000}{3,000} = 30,000
\]
3. Convert the result back to scientific notation:
\[
30,000 = 3 \cdot 10^4
\]
Hence, the correct answer is:
**A. \( 3 \cdot 10^4 \)**
#### Additional Details
The image shows a multiple choice math problem on a virtual test platform aimed at assessing student understanding of scientific notation and exponents. The screenshot was taken from a form created using Google Forms titled "Mod 5 Accelerated 2 - Common Assessment 4A."
Date on the form: 6/7/2021.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cdb4ceb-5725-4e11-93d9-ff0a52d1e35d%2F83d342cc-7cda-4e48-aa62-ac7aff95d6e4%2Fwm4h9r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
### Question
"9 \cdot 10^7" is how many times as large as "3 \cdot 10^3"?
### Multiple Choice Options
A. \( 3 \cdot 10^4 \)
B. \( 27 \cdot 10^4 \)
C. Blank (Option not visible)
D. \( 27 \cdot 10^{10} \)
---
#### Explanation
In this problem, you are asked to determine how many times larger \( 9 \cdot 10^7 \) is compared to \( 3 \cdot 10^3 \).
1. Firstly, convert the scientific notation to standard form:
- \( 9 \cdot 10^7 = 90,000,000 \)
- \( 3 \cdot 10^3 = 3,000 \)
2. Divide the larger number by the smaller number:
\[
\frac{90,000,000}{3,000} = 30,000
\]
3. Convert the result back to scientific notation:
\[
30,000 = 3 \cdot 10^4
\]
Hence, the correct answer is:
**A. \( 3 \cdot 10^4 \)**
#### Additional Details
The image shows a multiple choice math problem on a virtual test platform aimed at assessing student understanding of scientific notation and exponents. The screenshot was taken from a form created using Google Forms titled "Mod 5 Accelerated 2 - Common Assessment 4A."
Date on the form: 6/7/2021.
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