Write The Number As Hundredths In Fraction Form And Decimal Form.1. 5 10 \frac{5}{10} 10 5 ​ 5 10 = 50 100 \frac{5}{10} = \frac{50}{100} 10 5 ​ = 100 50 ​ ; 0.50 2. 9 10 \frac{9}{10} 10 9 ​ 9 10 = 90 100 \frac{9}{10} = \frac{90}{100} 10 9 ​ = 100 90 ​ ; 0.90 3. 0.2

Introduction

In mathematics, converting numbers to hundredths in fraction and decimal form is an essential skill that helps us understand and work with fractions and decimals. In this article, we will explore how to convert numbers to hundredths in fraction and decimal form, and provide examples to illustrate the concept.

Converting Fractions to Hundredths

A fraction is a way of expressing a part of a whole as a ratio of two numbers. To convert a fraction to hundredths, we need to find an equivalent fraction with a denominator of 100. This can be done by multiplying the numerator and denominator by 10.

Example 1: Converting 5/10 to Hundredths

$\frac{5}{10} = \frac{50}{100}$

In this example, we multiplied the numerator and denominator by 10 to get an equivalent fraction with a denominator of 100.

Example 2: Converting 9/10 to Hundredths

$\frac{9}{10} = \frac{90}{100}$

Similarly, we multiplied the numerator and denominator by 10 to get an equivalent fraction with a denominator of 100.

Converting Decimals to Hundredths

A decimal is a way of expressing a number as a fraction with a denominator of 10. To convert a decimal to hundredths, we can multiply the decimal by 100.

Example 3: Converting 0.2 to Hundredths

0.2 = $\frac{20}{100}$

In this example, we multiplied the decimal by 100 to get an equivalent fraction with a denominator of 100.

Why Converting Numbers to Hundredths is Important

Converting numbers to hundredths in fraction and decimal form is an important skill in mathematics because it helps us:

• Understand fractions and decimals: By converting numbers to hundredths, we can see the relationship between fractions and decimals.
• Perform calculations: Converting numbers to hundredths makes it easier to perform calculations involving fractions and decimals.
• Solve problems: Converting numbers to hundredths helps us solve problems that involve fractions and decimals.

Real-World Applications of Converting Numbers to Hundredths

Converting numbers to hundredths has many real-world applications, including:

• Cooking: When cooking, we often need to convert fractions to decimals to measure ingredients accurately.
• Science: In science, we often need to convert fractions to decimals to express measurements and calculations.
• Finance: In finance, we often need to convert fractions to decimals to express interest rates and other financial calculations.

Conclusion

Converting numbers to hundredths in fraction and decimal form is an essential skill in mathematics that helps us understand and work with fractions and decimals. By following the steps outlined in this article, we can convert numbers to hundredths and apply this skill to real-world problems.

Additional Examples

Here are some additional examples of converting numbers to hundredths in fraction and decimal form:

Example 4: Converting 3/5 to Hundredths

$\frac{3}{5} = \frac{60}{100}$

Example 5: Converting 0.5 to Hundredths

0.5 = $\frac{50}{100}$

Example 6: Converting 7/10 to Hundredths

$\frac{7}{10} = \frac{70}{100}$

By practicing these examples, we can become more confident in our ability to convert numbers to hundredths in fraction and decimal form.

Final Thoughts

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

A: A fraction is a way of expressing a part of a whole as a ratio of two numbers, while a decimal is a way of expressing a number as a fraction with a denominator of 10.

Q: How do I convert a fraction to hundredths?

A: To convert a fraction to hundredths, you need to find an equivalent fraction with a denominator of 100. This can be done by multiplying the numerator and denominator by 10.

Q: How do I convert a decimal to hundredths?

A: To convert a decimal to hundredths, you can multiply the decimal by 100.

Q: Why do I need to convert numbers to hundredths?

A: Converting numbers to hundredths is important because it helps you understand and work with fractions and decimals. It also makes it easier to perform calculations and solve problems.

Q: What are some real-world applications of converting numbers to hundredths?

A: Converting numbers to hundredths has many real-world applications, including cooking, science, and finance. For example, when cooking, you may need to convert fractions to decimals to measure ingredients accurately.

Q: How do I convert a mixed number to hundredths?

A: To convert a mixed number to hundredths, you need to convert the whole number part to a decimal and then convert the fraction part to hundredths.

Q: What is the difference between a terminating decimal and a non-terminating decimal?

A: A terminating decimal is a decimal that has a finite number of digits after the decimal point, while a non-terminating decimal is a decimal that has an infinite number of digits after the decimal point.

Q: How do I convert a non-terminating decimal to hundredths?

A: To convert a non-terminating decimal to hundredths, you can use a calculator or a computer program to convert the decimal to a fraction and then convert the fraction to hundredths.

Q: What are some common mistakes to avoid when converting numbers to hundredths?

A: Some common mistakes to avoid when converting numbers to hundredths include:

• Not multiplying the numerator and denominator by 10 when converting a fraction to hundredths
• Not multiplying the decimal by 100 when converting a decimal to hundredths
• Not converting the whole number part to a decimal when converting a mixed number to hundredths

Q: How can I practice converting numbers to hundredths?

A: You can practice converting numbers to hundredths by using online resources, such as worksheets and practice problems, or by working with a tutor or teacher.

Q: What are some advanced topics related to converting numbers to hundredths?

A: Some advanced topics related to converting numbers to hundredths include:

• Converting fractions to decimals with a denominator of 1000 or higher
• Converting decimals to fractions with a denominator of 1000 or higher
• Converting mixed numbers to decimals with a denominator of 1000 or higher

Conclusion

Converting numbers to hundredths in fraction and decimal form is an essential skill in mathematics that has many real-world applications. By understanding and applying this skill, you can solve problems and make calculations more easily.