Which Digit Is In The Hundredths Place In The Number 2.794?A. 4 B. 9 C. 7 D. 2

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When dealing with decimal numbers, it's essential to understand the concept of place value. The place value of a digit in a decimal number depends on its position relative to the decimal point. In this article, we'll explore the hundredths place in decimal numbers and determine which digit is in the hundredths place in the number 2.794.

What is the Hundredths Place?

The hundredths place is the second digit to the right of the decimal point in a decimal number. It represents the number of hundredths of a unit. For example, in the number 2.794, the digit 9 is in the hundredths place.

How to Identify the Hundredths Place

To identify the hundredths place in a decimal number, follow these steps:

  1. Locate the decimal point in the number.
  2. Count two digits to the right of the decimal point.
  3. The digit you land on is in the hundredths place.

Applying the Concept to the Number 2.794

Now that we understand the concept of the hundredths place, let's apply it to the number 2.794.

  1. Locate the decimal point in the number 2.794.
  2. Count two digits to the right of the decimal point: 7, 9.
  3. The digit 9 is in the hundredths place.

Conclusion

In conclusion, the digit in the hundredths place in the number 2.794 is 9. This is because the digit 9 is two positions to the right of the decimal point, making it the hundredths place.

Common Mistakes to Avoid

When dealing with decimal numbers, it's essential to avoid common mistakes that can lead to incorrect conclusions. Here are a few common mistakes to avoid:

  • Miscounting the digits: Make sure to count the digits correctly when identifying the hundredths place.
  • Confusing the decimal point: Ensure that you locate the decimal point correctly in the number.
  • Not considering the position of the digit: Remember that the position of the digit relative to the decimal point determines its place value.

Real-World Applications

Understanding the concept of the hundredths place has real-world applications in various fields, including:

  • Finance: When dealing with decimal numbers in finance, it's essential to understand the concept of the hundredths place to avoid errors in calculations.
  • Science: In scientific calculations, the hundredths place is crucial in determining the accuracy of results.
  • Everyday Life: Understanding the concept of the hundredths place can help you make informed decisions in everyday life, such as calculating prices or tips.

Practice Exercises

To reinforce your understanding of the hundredths place, try the following practice exercises:

  1. Identify the digit in the hundredths place in the number 3.421.
  2. Determine the digit in the hundredths place in the number 1.095.
  3. Find the digit in the hundredths place in the number 5.673.

Conclusion

In this article, we'll address some frequently asked questions about the hundredths place in decimal numbers.

Q: What is the hundredths place in a decimal number?

A: The hundredths place is the second digit to the right of the decimal point in a decimal number. It represents the number of hundredths of a unit.

Q: How do I identify the hundredths place in a decimal number?

A: To identify the hundredths place in a decimal number, follow these steps:

  1. Locate the decimal point in the number.
  2. Count two digits to the right of the decimal point.
  3. The digit you land on is in the hundredths place.

Q: What is the difference between the tenths place and the hundredths place?

A: The tenths place is the first digit to the right of the decimal point, while the hundredths place is the second digit to the right of the decimal point. The tenths place represents the number of tenths of a unit, while the hundredths place represents the number of hundredths of a unit.

Q: Can the hundredths place be zero?

A: Yes, the hundredths place can be zero. For example, in the number 2.700, the digit 0 is in the hundredths place.

Q: How do I round a decimal number to the hundredths place?

A: To round a decimal number to the hundredths place, follow these steps:

  1. Look at the digit in the thousandths place (the third digit to the right of the decimal point).
  2. If the digit in the thousandths place is 5 or greater, round the digit in the hundredths place up by 1.
  3. If the digit in the thousandths place is less than 5, leave the digit in the hundredths place as it is.

Q: What is the importance of the hundredths place in real-world applications?

A: The hundredths place is crucial in various fields, including finance, science, and everyday life. In finance, it's essential to understand the concept of the hundredths place to avoid errors in calculations. In science, the hundredths place is critical in determining the accuracy of results. In everyday life, understanding the concept of the hundredths place can help you make informed decisions.

Q: Can I use a calculator to find the hundredths place in a decimal number?

A: Yes, you can use a calculator to find the hundredths place in a decimal number. Simply enter the decimal number into the calculator and look at the display to find the digit in the hundredths place.

Q: How do I convert a decimal number to a fraction with a hundredths place?

A: To convert a decimal number to a fraction with a hundredths place, follow these steps:

  1. Write the decimal number as a fraction with a denominator of 100.
  2. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor.

Q: What is the relationship between the hundredths place and the thousandths place?

A: The thousandths place is the third digit to the right of the decimal point, while the hundredths place is the second digit to the right of the decimal point. The thousandths place represents the number of thousandths of a unit, while the hundredths place represents the number of hundredths of a unit.

Conclusion

In conclusion, the hundredths place is a crucial concept in decimal numbers. Understanding the concept of the hundredths place can help you make accurate calculations and make informed decisions in various fields. By practicing exercises and applying the concept to real-world scenarios, you can become proficient in identifying the hundredths place in decimal numbers.