For Numbers 3 A − 3 E 3a-3e 3 A − 3 E , Select True Or False For The Statement:3a. 0.9 Is Equivalent To 0.90. True 3b. 0.20 Is Equivalent To 2 100 \frac{2}{100} 100 2 ​ . True 3c. 80 100 \frac{80}{100} 100 80 ​ Is Equivalent To 8 10 \frac{8}{10} 10 8 ​ . True 3d.

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Introduction

In mathematics, equivalent fractions and decimals are essential concepts that help us compare and simplify numbers. In this article, we will explore the statements 3a, 3b, and 3c, and determine whether they are true or false. We will also discuss the concept of equivalent fractions and decimals, and provide examples to illustrate the concepts.

What are Equivalent Fractions and Decimals?

Equivalent fractions and decimals are numbers that have the same value, but are expressed differently. For example, the fraction 1/2 is equivalent to the decimal 0.5, and the fraction 2/4 is also equivalent to 0.5. Similarly, the decimal 0.9 is equivalent to 0.90, and the fraction 80/100 is equivalent to 8/10.

Statement 3a: 0.9 is equivalent to 0.90

The statement 3a claims that 0.9 is equivalent to 0.90. To determine whether this statement is true or false, we need to compare the two numbers. Since 0.9 and 0.90 have the same value, but are expressed differently, we can conclude that statement 3a is TRUE.

Statement 3b: 0.20 is equivalent to 2100\frac{2}{100}

The statement 3b claims that 0.20 is equivalent to 2100\frac{2}{100}. To determine whether this statement is true or false, we need to compare the two numbers. Since 0.20 can be written as 20/100, which is equivalent to 2100\frac{2}{100}, we can conclude that statement 3b is TRUE.

Statement 3c: 80100\frac{80}{100} is equivalent to 810\frac{8}{10}

The statement 3c claims that 80100\frac{80}{100} is equivalent to 810\frac{8}{10}. To determine whether this statement is true or false, we need to compare the two numbers. Since both fractions have the same value, but are expressed differently, we can conclude that statement 3c is TRUE.

Why are Equivalent Fractions and Decimals Important?

Equivalent fractions and decimals are important in mathematics because they help us compare and simplify numbers. By expressing numbers in different forms, we can make calculations easier and more efficient. For example, when adding or subtracting fractions, it is often easier to convert them to equivalent decimals.

Examples of Equivalent Fractions and Decimals

Here are some examples of equivalent fractions and decimals:

  • 1/2 = 0.5
  • 2/4 = 0.5
  • 3/6 = 0.5
  • 0.9 = 0.90
  • 0.20 = 20/100 = 2100\frac{2}{100}
  • 80/100 = 8/10

Conclusion

In conclusion, statements 3a, 3b, and 3c are all true. Equivalent fractions and decimals are essential concepts in mathematics that help us compare and simplify numbers. By understanding these concepts, we can make calculations easier and more efficient.

Final Thoughts

Equivalent fractions and decimals are not just limited to simple numbers. They can be applied to more complex numbers and calculations, such as algebra and geometry. By mastering these concepts, we can become more confident and proficient in mathematics.

Additional Resources

For those who want to learn more about equivalent fractions and decimals, here are some additional resources:

  • Khan Academy: Equivalent Fractions and Decimals
  • Mathway: Equivalent Fractions and Decimals
  • IXL: Equivalent Fractions and Decimals

Final Answer

Based on the analysis of statements 3a, 3b, and 3c, we can conclude that:

  • 3a: 0.9 is equivalent to 0.90. TRUE
  • 3b: 0.20 is equivalent to 2100\frac{2}{100}. TRUE
  • 3c: 80100\frac{80}{100} is equivalent to 810\frac{8}{10}. TRUE

Introduction

In our previous article, we explored the concept of equivalent fractions and decimals, and determined whether statements 3a, 3b, and 3c were true or false. In this article, we will answer some frequently asked questions about equivalent fractions and decimals.

Q: What is the difference between a fraction and a decimal?

A: A fraction is a way of expressing a part of a whole, using a numerator and a denominator. For example, 1/2 is a fraction. A decimal, on the other hand, is a way of expressing a number using a decimal point. For example, 0.5 is a decimal.

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 1/2 to a decimal, you can divide 1 by 2, which equals 0.5.

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

A: To convert a decimal to a fraction, you can express the decimal as a fraction by writing it as a numerator over a denominator. For example, to convert 0.5 to a fraction, you can write it as 1/2.

Q: What is the concept of equivalent fractions and decimals?

A: Equivalent fractions and decimals are numbers that have the same value, but are expressed differently. For example, the fraction 1/2 is equivalent to the decimal 0.5, and the fraction 2/4 is also equivalent to 0.5.

Q: Why are equivalent fractions and decimals important?

A: Equivalent fractions and decimals are important because they help us compare and simplify numbers. By expressing numbers in different forms, we can make calculations easier and more efficient.

Q: Can you give me some examples of equivalent fractions and decimals?

A: Here are some examples of equivalent fractions and decimals:

  • 1/2 = 0.5
  • 2/4 = 0.5
  • 3/6 = 0.5
  • 0.9 = 0.90
  • 0.20 = 20/100 = 2100\frac{2}{100}
  • 80/100 = 8/10

Q: How do I determine if two fractions or decimals are equivalent?

A: To determine if two fractions or decimals are equivalent, you can compare their values. If they have the same value, then they are equivalent.

Q: Can you give me some tips for working with equivalent fractions and decimals?

A: Here are some tips for working with equivalent fractions and decimals:

  • Make sure to simplify fractions and decimals before comparing them.
  • Use equivalent fractions and decimals to make calculations easier and more efficient.
  • Practice converting fractions to decimals and decimals to fractions to become more confident and proficient.

Q: What are some real-world applications of equivalent fractions and decimals?

A: Equivalent fractions and decimals have many real-world applications, such as:

  • Cooking: When measuring ingredients, you may need to convert between fractions and decimals.
  • Building: When calculating the area or volume of a shape, you may need to use equivalent fractions and decimals.
  • Science: When measuring the length or weight of an object, you may need to use equivalent fractions and decimals.

Conclusion

In conclusion, equivalent fractions and decimals are essential concepts in mathematics that help us compare and simplify numbers. By understanding these concepts, we can make calculations easier and more efficient. We hope that this article has answered some of your frequently asked questions about equivalent fractions and decimals.

Final Thoughts

Equivalent fractions and decimals are not just limited to simple numbers. They can be applied to more complex numbers and calculations, such as algebra and geometry. By mastering these concepts, we can become more confident and proficient in mathematics.

Additional Resources

For those who want to learn more about equivalent fractions and decimals, here are some additional resources:

  • Khan Academy: Equivalent Fractions and Decimals
  • Mathway: Equivalent Fractions and Decimals
  • IXL: Equivalent Fractions and Decimals

Final Answer

Based on the questions and answers in this article, we can conclude that:

  • Equivalent fractions and decimals are numbers that have the same value, but are expressed differently.
  • Equivalent fractions and decimals are important because they help us compare and simplify numbers.
  • To convert a fraction to a decimal, you can divide the numerator by the denominator.
  • To convert a decimal to a fraction, you can express the decimal as a fraction by writing it as a numerator over a denominator.
  • Equivalent fractions and decimals have many real-world applications, such as cooking, building, and science.