The Population Of Alaska Is Approximately $6.5 \times 10^5$ People. The Population Of Illinois Is About $1.3 \times 10^7$ People. How Many Times Greater Is The Population Of Illinois Than The Population Of Alaska?

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Introduction

When comparing the population of two states, it's essential to understand the magnitude of their populations. In this article, we will compare the population of Alaska and Illinois, two states with vastly different populations. We will use mathematical concepts to determine how many times greater the population of Illinois is than that of Alaska.

Population of Alaska and Illinois

The population of Alaska is approximately 6.5 x 10^5 people. This is a relatively small population compared to other states in the United States. On the other hand, the population of Illinois is about 1.3 x 10^7 people. This is a significant difference in population, and we will explore this further in the next section.

Calculating the Ratio of Populations

To determine how many times greater the population of Illinois is than that of Alaska, we need to calculate the ratio of their populations. We can do this by dividing the population of Illinois by the population of Alaska.

Let's use the given values:

Population of Alaska = 6.5 x 10^5 Population of Illinois = 1.3 x 10^7

To calculate the ratio, we can divide the population of Illinois by the population of Alaska:

Ratio = Population of Illinois / Population of Alaska = (1.3 x 10^7) / (6.5 x 10^5)

To simplify this expression, we can use the quotient rule for exponents, which states that:

(a^m) / (a^n) = a^(m-n)

In this case, we can rewrite the ratio as:

Ratio = (1.3 x 10^7) / (6.5 x 10^5) = (1.3 / 6.5) x 10^(7-5) = (1.3 / 6.5) x 10^2

Now, we can simplify the fraction (1.3 / 6.5) by dividing the numerator and denominator by their greatest common divisor, which is 1.3. This gives us:

(1.3 / 6.5) = 0.2

So, the ratio of the population of Illinois to the population of Alaska is:

Ratio = 0.2 x 10^2 = 20

Conclusion

In conclusion, the population of Illinois is approximately 20 times greater than the population of Alaska. This is a significant difference in population, and it highlights the importance of understanding the magnitude of population when comparing different states or regions.

Final Thoughts

When comparing the population of two states, it's essential to use mathematical concepts to determine the magnitude of their populations. By calculating the ratio of their populations, we can gain a better understanding of the differences between them. In this article, we compared the population of Alaska and Illinois, and we found that the population of Illinois is approximately 20 times greater than the population of Alaska.

References

  • [1] United States Census Bureau. (2020). State and County QuickFacts.
  • [2] World Population Review. (2020). Alaska Population 2020.
  • [3] World Population Review. (2020). Illinois Population 2020.

Additional Resources

  • [1] Khan Academy. (n.d.). Ratios and proportions.
  • [2] Math Is Fun. (n.d.). Ratios and proportions.
  • [3] Wolfram Alpha. (n.d.). Ratios and proportions.
    The Population of Illinois vs Alaska: A Mathematical Comparison - Q&A ====================================================================

Introduction

In our previous article, we compared the population of Alaska and Illinois, two states with vastly different populations. We calculated the ratio of their populations and found that the population of Illinois is approximately 20 times greater than the population of Alaska. In this article, we will answer some frequently asked questions (FAQs) related to this topic.

Q&A

Q: What is the population of Alaska?

A: The population of Alaska is approximately 6.5 x 10^5 people.

Q: What is the population of Illinois?

A: The population of Illinois is about 1.3 x 10^7 people.

Q: How many times greater is the population of Illinois than the population of Alaska?

A: The population of Illinois is approximately 20 times greater than the population of Alaska.

Q: How did you calculate the ratio of their populations?

A: We calculated the ratio by dividing the population of Illinois by the population of Alaska. We used the quotient rule for exponents to simplify the expression.

Q: What is the quotient rule for exponents?

A: The quotient rule for exponents states that:

(a^m) / (a^n) = a^(m-n)

This rule allows us to simplify expressions involving exponents.

Q: How do you simplify a fraction involving exponents?

A: To simplify a fraction involving exponents, we can divide the numerator and denominator by their greatest common divisor (GCD). In the case of the ratio (1.3 / 6.5), we divided the numerator and denominator by 1.3 to get 0.2.

Q: What is the significance of understanding the magnitude of population when comparing different states or regions?

A: Understanding the magnitude of population is essential when comparing different states or regions. It helps us to appreciate the differences between them and to make informed decisions.

Q: What are some real-world applications of calculating the ratio of populations?

A: Calculating the ratio of populations has many real-world applications, such as:

  • Understanding the impact of population growth on urban planning and infrastructure development
  • Analyzing the effects of population density on public health and education
  • Evaluating the economic implications of population growth on local and national economies

Q: How can I learn more about population growth and its implications?

A: You can learn more about population growth and its implications by:

  • Reading articles and books on demography and population studies
  • Watching documentaries and videos on population growth and its effects
  • Consulting with experts in the field of demography and population studies

Conclusion

In conclusion, understanding the magnitude of population is essential when comparing different states or regions. By calculating the ratio of their populations, we can gain a better understanding of the differences between them. We hope that this Q&A article has provided you with a better understanding of the topic and has inspired you to learn more about population growth and its implications.

References

  • [1] United States Census Bureau. (2020). State and County QuickFacts.
  • [2] World Population Review. (2020). Alaska Population 2020.
  • [3] World Population Review. (2020). Illinois Population 2020.

Additional Resources

  • [1] Khan Academy. (n.d.). Ratios and proportions.
  • [2] Math Is Fun. (n.d.). Ratios and proportions.
  • [3] Wolfram Alpha. (n.d.). Ratios and proportions.