https://file.aiquickdraw.com/mathbot/file/1726761473194yltx018i.jpg

Let's go through the questions one by one.

1. **Population approximation of the U.S. in 2014:**
   - The population is given as 318,900,000, which is approximately \( 3.19 \times 10^8 \). The closest approximation is **\( 3 \times 10^8 \)**.
   - So, the correct answer is **A**.

2. **Population approximation of the world in 2014:**
   - The population is given as 7,125,000,000, which is approximately \( 7.13 \times 10^9 \). The closest approximation is **\( 7 \times 10^9 \)**.
   - So, the correct answer is **B**.

3. **How many times larger was the world population compared to the U.S. population?**
   - World population: \( 7.13 \times 10^9 \)
   - U.S. population: \( 3.19 \times 10^8 \)
   - To find how many times larger, divide:
     \[
     \frac{7.13 \times 10^9}{3.19 \times 10^8} \approx \frac{7.13}{3.19} \times 10^{9-8} = 2.24 \times 10^1 = 22.4
     \]
   - This is approximately **20**.
   - So, the correct answer is **B**.

Would you like further explanations on any of these steps or related questions? 

Here are some additional questions to expand on the concepts:

1. How would the approximations change if the population were in 2020 instead of 2014?
2. How do you convert large numbers like populations into scientific notation?
3. Why is scientific notation useful for comparing very large numbers like populations?
4. How does the U.S. population compare to other large countries in terms of scientific notation approximations?
5. Can you estimate the population growth rate between 2014 and 2024 using similar methods?

**Tip:** Always ensure the units are comparable when dividing or multiplying large numbers for approximations.

In 2014, the population of the United States was about 318,900,000 people. Choose the best approximation of the United States population in 2014. In 2014, the population of the world was about 7,125,000,000 people. Choose the best approximation of the world population in 2014. Approximately how many times as large was the world population as the United States population in 2014?

Learn how to approximate the population of the U.S. and the world in 2014 using scientific notation. Understand the comparison between these populations by dividing the world population by the U.S. population, which is approximately 20 times larger. Suitable for students in Grades 5-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation