9- 10' is how many times as large as 3 10? OA. 3-104

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,...
icon
Related questions
Topic Video
Question
---

### 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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 7 images

Blurred answer
Knowledge Booster
Sequence
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education