Put The Following In Order From Least To Greatest:$\[9.3, \, 9^{1/4}, \, 9.21\\]A. $\[9.21, \, 9^{1/4}, \, 9.3\\]B. $\[9.3, \, 9^{1/4}, \, 9.21\\]C. $\[9^{1/4}, \, 9.21, \, 9.3\\]D. $\[9.3, \, 9.21, \,

Introduction

In mathematics, ordering numbers from least to greatest is a fundamental concept that is essential in various mathematical operations and applications. In this article, we will analyze the given numbers and determine the correct order from least to greatest.

The Numbers

The given numbers are:

• $9.3$
• $9^{1/4}$
• $9.21$

**Calculating $9^{1/4}$

To determine the correct order, we need to calculate the value of $9^{1/4}$. The exponent $1/4$ represents the fourth root of $9$. To calculate this, we can use the following formula:

$$a^{1/n} = \sqrt[n]{a}$$

In this case, $a = 9$ and $n = 4$. Therefore, we can calculate $9^{1/4}$ as follows:

$$9^{1/4} = \sqrt[4]{9} = 1.732$$

Ordering the Numbers

Now that we have calculated the value of $9^{1/4}$, we can determine the correct order from least to greatest. The numbers are:

• $9.3$
• $1.732$
• $9.21$

Comparing the Numbers

To determine the correct order, we can compare the numbers in pairs. We can start by comparing $9.3$ and $1.732$. Since $1.732$ is less than $9.3$, we can conclude that $1.732$ is the least number.

Next, we can compare $9.3$ and $9.21$. Since $9.21$ is less than $9.3$, we can conclude that $9.21$ is the second least number.

Finally, we can compare $1.732$ and $9.21$. Since $1.732$ is less than $9.21$, we can conclude that $1.732$ is the least number.

Conclusion

Based on our analysis, the correct order from least to greatest is:

• $1.732$
• $9.21$
• $9.3$

Therefore, the correct answer is:

C. ${9^{1/4}, , 9.21, , 9.3}$

Discussion

Ordering numbers from least to greatest is an essential concept in mathematics that has numerous applications in various fields, including science, engineering, and finance. In this article, we analyzed the given numbers and determined the correct order from least to greatest. We calculated the value of $9^{1/4}$ and compared the numbers in pairs to determine the correct order.

Key Takeaways

• Ordering numbers from least to greatest is a fundamental concept in mathematics.
• Calculating the value of $9^{1/4}$ is essential in determining the correct order.
• Comparing numbers in pairs is a useful technique in determining the correct order.

Further Reading

For further reading on ordering numbers from least to greatest, we recommend the following resources:

• Khan Academy: Ordering Numbers
• Mathway: Ordering Numbers
• Wolfram Alpha: Ordering Numbers

Conclusion

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Introduction

In our previous article, we analyzed the given numbers and determined the correct order from least to greatest. In this article, we will provide a Q&A guide to help you understand the concept of ordering numbers from least to greatest.

Q: What is the concept of ordering numbers from least to greatest?

A: Ordering numbers from least to greatest is a fundamental concept in mathematics that involves arranging numbers in a specific order, from the smallest to the largest.

Q: Why is ordering numbers from least to greatest important?

A: Ordering numbers from least to greatest is important because it is a fundamental concept in mathematics that has numerous applications in various fields, including science, engineering, and finance. It is used in various mathematical operations, such as addition, subtraction, multiplication, and division.

Q: How do I order numbers from least to greatest?

A: To order numbers from least to greatest, you need to compare the numbers in pairs. You can start by comparing the first two numbers, and then compare the result with the third number, and so on.

Q: What if I have a decimal number and a whole number? How do I compare them?

A: When comparing a decimal number and a whole number, you need to consider the decimal part. If the decimal part is greater than 0, the decimal number is greater than the whole number. If the decimal part is less than 0, the whole number is greater than the decimal number.

Q: What if I have two decimal numbers with the same decimal part? How do I compare them?

A: When comparing two decimal numbers with the same decimal part, you need to compare the whole part. The number with the smaller whole part is greater.

Q: Can I use a calculator to order numbers from least to greatest?

A: Yes, you can use a calculator to order numbers from least to greatest. However, it is always a good idea to understand the concept and be able to order numbers manually.

Q: What are some common mistakes to avoid when ordering numbers from least to greatest?

A: Some common mistakes to avoid when ordering numbers from least to greatest include:

• Comparing numbers without considering the decimal part
• Comparing numbers without considering the whole part
• Not using a consistent order (e.g., comparing numbers in pairs)

Q: How can I practice ordering numbers from least to greatest?

A: You can practice ordering numbers from least to greatest by:

• Using online resources, such as math websites and apps
• Working with a tutor or teacher
• Practicing with real-world examples

Conclusion

In conclusion, ordering numbers from least to greatest is a fundamental concept in mathematics that has numerous applications in various fields. By understanding the concept and being able to order numbers manually, you can improve your mathematical skills and become more confident in your ability to solve mathematical problems.

Key Takeaways

• Ordering numbers from least to greatest is a fundamental concept in mathematics.
• Comparing numbers in pairs is a useful technique in determining the correct order.
• Understanding the concept and being able to order numbers manually is essential.

Further Reading

For further reading on ordering numbers from least to greatest, we recommend the following resources:

• Khan Academy: Ordering Numbers
• Mathway: Ordering Numbers
• Wolfram Alpha: Ordering Numbers

Conclusion

In conclusion, ordering numbers from least to greatest is a fundamental concept in mathematics that has numerous applications in various fields. By understanding the concept and being able to order numbers manually, you can improve your mathematical skills and become more confident in your ability to solve mathematical problems.