The area of Russia is about 1.71 x 10' square kilometers. The area of Jamaica is about 1.10 x 10 square miles. How many times larger is Russia than Jamaica? Write your answer in scientific notation, and round the decimal part of your answer to two decimal places. Russia is about 1.55 x 10 times larger than Jamaica. b. Russia is about 1.55 x 10' times larger than Jamaica. Russia is about 1.55 x 10 times larger than Jamaica. Russia is about1.55 x 10' times larger than Jamaica. a. c. d. O A.

Algebra and Trigonometry (6th Edition)
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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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## How Much Larger is Russia Compared to Jamaica?

The area of Russia is about \( 1.71 \times 10^7 \) square kilometers. The area of Jamaica is about \( 1.10 \times 10^4 \) square miles. To determine how many times larger Russia is compared to Jamaica, we will perform a division using scientific notation and round the decimal part of the answer to two decimal places.

### Calculation Steps:

1. **Division in Scientific Notation:**
   \[ \frac{1.71 \times 10^7}{1.10 \times 10^4} \]

2. **Simplify the Expression:**
   \[ \frac{1.71}{1.10} \times 10^{7-4} = 1.554545 \times 10^3 \]

3. **Rounding to Two Decimal Places:**
   \[ 1.554545 \approx 1.55 \]

   Thus, the result is:
   \[ 1.55 \times 10^3 \]

### Answer Choices:

a. Russia is about \( 1.55 \times 10^2 \) times larger than Jamaica.  
b. Russia is about \( 1.55 \times 10^3 \) times larger than Jamaica.  
c. Russia is about \( 1.55 \times 10^4 \) times larger than Jamaica.  
d. Russia is about \( 1.55 \times 10^1 \) times larger than Jamaica.

### Correct Answer:

The correct answer is:

\[ \boxed{\text{B}} \]

Russia is about \( 1.55 \times 10^3 \) times larger than Jamaica.
Transcribed Image Text:## How Much Larger is Russia Compared to Jamaica? The area of Russia is about \( 1.71 \times 10^7 \) square kilometers. The area of Jamaica is about \( 1.10 \times 10^4 \) square miles. To determine how many times larger Russia is compared to Jamaica, we will perform a division using scientific notation and round the decimal part of the answer to two decimal places. ### Calculation Steps: 1. **Division in Scientific Notation:** \[ \frac{1.71 \times 10^7}{1.10 \times 10^4} \] 2. **Simplify the Expression:** \[ \frac{1.71}{1.10} \times 10^{7-4} = 1.554545 \times 10^3 \] 3. **Rounding to Two Decimal Places:** \[ 1.554545 \approx 1.55 \] Thus, the result is: \[ 1.55 \times 10^3 \] ### Answer Choices: a. Russia is about \( 1.55 \times 10^2 \) times larger than Jamaica. b. Russia is about \( 1.55 \times 10^3 \) times larger than Jamaica. c. Russia is about \( 1.55 \times 10^4 \) times larger than Jamaica. d. Russia is about \( 1.55 \times 10^1 \) times larger than Jamaica. ### Correct Answer: The correct answer is: \[ \boxed{\text{B}} \] Russia is about \( 1.55 \times 10^3 \) times larger than Jamaica.
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