Select The Best Answer For The Question.What Is The Decimal Representation Of $27 / 100$?A. 27.1 B. 0.27 C. 0.72 D. 2.7

by ADMIN 127 views

Introduction

In mathematics, decimal representation is a way of expressing numbers using a base-10 system. It involves dividing a number by a power of 10 to obtain a decimal value. In this article, we will explore the concept of decimal representation and apply it to a specific problem.

What is Decimal Representation?

Decimal representation is a way of expressing numbers using a base-10 system. It involves dividing a number by a power of 10 to obtain a decimal value. For example, the decimal representation of the number 12 can be obtained by dividing it by 10, which gives us 1.2.

The Problem: 27 / 100

The problem we are dealing with is the decimal representation of the fraction 27/100. To solve this problem, we need to divide 27 by 100.

Step 1: Divide 27 by 100

To divide 27 by 100, we can use long division or a calculator. Using long division, we get:

  0.27
100 | 27
  ------
    270
  - 200
    70
  - 60
    10
  - 10
    0

As we can see, the result of dividing 27 by 100 is 0.27.

Step 2: Analyze the Options

Now that we have obtained the decimal representation of 27/100, we need to analyze the options given to us.

  • Option A: 27.1
  • Option B: 0.27
  • Option C: 0.72
  • Option D: 2.7

Conclusion

Based on our analysis, we can conclude that the correct answer is Option B: 0.27.

Why is Option B the Correct Answer?

Option B is the correct answer because it accurately represents the decimal value of 27/100. The other options do not accurately represent the decimal value of 27/100.

Tips and Tricks

Here are some tips and tricks to help you solve similar problems:

  • Make sure to read the problem carefully and understand what is being asked.
  • Use long division or a calculator to divide the numbers.
  • Analyze the options carefully and choose the one that accurately represents the decimal value.

Conclusion

Frequently Asked Questions

In this article, we will answer some frequently asked questions about decimal representation.

Q: What is decimal representation?

A: Decimal representation is a way of expressing numbers using a base-10 system. It involves dividing a number by a power of 10 to obtain a decimal value.

Q: How do I convert a fraction to a decimal?

A: To convert a fraction to a decimal, you can divide the numerator by the denominator. For example, to convert the fraction 1/2 to a decimal, you can divide 1 by 2, which gives you 0.5.

Q: What is the decimal representation of 1/10?

A: The decimal representation of 1/10 is 0.1.

Q: What is the decimal representation of 1/100?

A: The decimal representation of 1/100 is 0.01.

Q: How do I convert a decimal to a fraction?

A: To convert a decimal to a fraction, you can use the following steps:

  1. Determine the place value of the last digit in the decimal.
  2. Multiply the decimal by a power of 10 to move the decimal point to the right.
  3. Convert the resulting number to a fraction.

For example, to convert the decimal 0.5 to a fraction, you can multiply it by 10 to get 5, and then convert 5 to a fraction, which is 5/1.

Q: What is the decimal representation of 27/100?

A: The decimal representation of 27/100 is 0.27.

Q: How do I round a decimal to a certain number of places?

A: To round a decimal to a certain number of places, you can use the following steps:

  1. Determine the place value of the digit to the right of the desired number of places.
  2. If the digit is 5 or greater, round up. If the digit is less than 5, round down.

For example, to round the decimal 0.567 to 2 places, you can look at the third digit, which is 7. Since 7 is greater than 5, you can round up to 0.57.

Q: What is the decimal representation of 1/1000?

A: The decimal representation of 1/1000 is 0.001.

Conclusion

In conclusion, we hope this article has helped you understand the concept of decimal representation and how to apply it to solve problems. If you have any more questions, feel free to ask!

Additional Resources

If you want to learn more about decimal representation, here are some additional resources:

  • Khan Academy: Decimal Representation
  • Math Is Fun: Decimal Representation
  • Wikipedia: Decimal Representation

Practice Problems

Here are some practice problems to help you practice decimal representation:

  • Convert the fraction 3/4 to a decimal.
  • Convert the decimal 0.75 to a fraction.
  • Round the decimal 0.456 to 2 places.
  • Convert the fraction 1/1000 to a decimal.

We hope this article has been helpful!