Write The Mixed Number As A Decimal Number.$\[ 7 \frac{3}{10} \\]A. 0.37 B. 3.7 C. 7.13 D. 7.3

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Understanding Mixed Numbers and Decimal Numbers

In mathematics, mixed numbers and decimal numbers are two different ways to represent fractions. A mixed number is a combination of a whole number and a fraction, while a decimal number is a way to represent a fraction using the base-10 number system. In this article, we will focus on converting mixed numbers to decimal numbers.

What is a Mixed Number?

A mixed number is a combination of a whole number and a fraction. It is written in the form of a + b/c, where a is the whole number and b/c is the fraction. For example, 7 3/10 is a mixed number, where 7 is the whole number and 3/10 is the fraction.

What is a Decimal Number?

A decimal number is a way to represent a fraction using the base-10 number system. It is written in the form of a decimal point followed by digits. For example, 0.37 is a decimal number.

Converting Mixed Numbers to Decimal Numbers

To convert a mixed number to a decimal number, we need to follow these steps:

  1. Separate the whole number and the fraction: Separate the whole number and the fraction in the mixed number. For example, in 7 3/10, the whole number is 7 and the fraction is 3/10.
  2. Convert the fraction to a decimal: Convert the fraction to a decimal by dividing the numerator by the denominator. For example, 3/10 = 0.3.
  3. Add the whole number and the decimal: Add the whole number and the decimal to get the final decimal number. For example, 7 + 0.3 = 7.3.

Example 1: Converting 7 3/10 to a Decimal Number

Let's convert 7 3/10 to a decimal number using the steps above.

  1. Separate the whole number and the fraction: 7 is the whole number and 3/10 is the fraction.
  2. Convert the fraction to a decimal: 3/10 = 0.3.
  3. Add the whole number and the decimal: 7 + 0.3 = 7.3.

Therefore, 7 3/10 as a decimal number is 7.3.

Example 2: Converting 5 2/5 to a Decimal Number

Let's convert 5 2/5 to a decimal number using the steps above.

  1. Separate the whole number and the fraction: 5 is the whole number and 2/5 is the fraction.
  2. Convert the fraction to a decimal: 2/5 = 0.4.
  3. Add the whole number and the decimal: 5 + 0.4 = 5.4.

Therefore, 5 2/5 as a decimal number is 5.4.

Example 3: Converting 9 7/8 to a Decimal Number

Let's convert 9 7/8 to a decimal number using the steps above.

  1. Separate the whole number and the fraction: 9 is the whole number and 7/8 is the fraction.
  2. Convert the fraction to a decimal: 7/8 = 0.875.
  3. Add the whole number and the decimal: 9 + 0.875 = 9.875.

Therefore, 9 7/8 as a decimal number is 9.875.

Conclusion

In this article, we have learned how to convert mixed numbers to decimal numbers. We have followed the steps of separating the whole number and the fraction, converting the fraction to a decimal, and adding the whole number and the decimal to get the final decimal number. We have also provided examples to illustrate the process. By following these steps, you can easily convert mixed numbers to decimal numbers.

Common Mistakes to Avoid

When converting mixed numbers to decimal numbers, there are some common mistakes to avoid:

  • Not separating the whole number and the fraction: Make sure to separate the whole number and the fraction in the mixed number.
  • Not converting the fraction to a decimal: Make sure to convert the fraction to a decimal by dividing the numerator by the denominator.
  • Not adding the whole number and the decimal: Make sure to add the whole number and the decimal to get the final decimal number.

Tips and Tricks

Here are some tips and tricks to help you convert mixed numbers to decimal numbers:

  • Use a calculator: If you are having trouble converting a fraction to a decimal, use a calculator to get the decimal equivalent.
  • Use a conversion chart: If you are having trouble converting a fraction to a decimal, use a conversion chart to get the decimal equivalent.
  • Practice, practice, practice: The more you practice converting mixed numbers to decimal numbers, the more comfortable you will become with the process.

Final Answer

The final answer is: 7.3\boxed{7.3}

Q: What is a mixed number?

A: A mixed number is a combination of a whole number and a fraction. It is written in the form of a + b/c, where a is the whole number and b/c is the fraction.

Q: What is a decimal number?

A: A decimal number is a way to represent a fraction using the base-10 number system. It is written in the form of a decimal point followed by digits.

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

A: To convert a mixed number to a decimal number, follow these steps:

  1. Separate the whole number and the fraction.
  2. Convert the fraction to a decimal by dividing the numerator by the denominator.
  3. Add the whole number and the decimal to get the final decimal number.

Q: What if the fraction has a denominator that is not a power of 10?

A: If the fraction has a denominator that is not a power of 10, you can convert it to a decimal by dividing the numerator by the denominator. For example, 3/4 = 0.75.

Q: Can I use a calculator to convert a mixed number to a decimal number?

A: Yes, you can use a calculator to convert a mixed number to a decimal number. Simply enter the mixed number into the calculator and it will give you the decimal equivalent.

Q: What if I get a different answer when converting a mixed number to a decimal number?

A: If you get a different answer when converting a mixed number to a decimal number, double-check your work to make sure you are following the correct steps. You can also use a calculator or a conversion chart to verify your answer.

Q: Can I convert a decimal number to a mixed number?

A: Yes, you can convert a decimal number to a mixed number by following these steps:

  1. Separate the whole number and the decimal.
  2. Convert the decimal to a fraction by dividing the decimal by 1.
  3. Simplify the fraction to get the final mixed number.

Q: What if I have a decimal number with a repeating decimal?

A: If you have a decimal number with a repeating decimal, you can convert it to a mixed number by following these steps:

  1. Separate the whole number and the decimal.
  2. Convert the decimal to a fraction by dividing the decimal by 1.
  3. Simplify the fraction to get the final mixed number.

Q: Can I use a conversion chart to convert a mixed number to a decimal number?

A: Yes, you can use a conversion chart to convert a mixed number to a decimal number. Simply look up the mixed number in the chart and it will give you the decimal equivalent.

Q: What if I don't have a conversion chart?

A: If you don't have a conversion chart, you can use a calculator or follow the steps outlined above to convert a mixed number to a decimal number.

Q: Can I convert a mixed number to a decimal number with a negative sign?

A: Yes, you can convert a mixed number to a decimal number with a negative sign by following the same steps as above. Simply add a negative sign to the whole number and the decimal.

Q: What if I have a mixed number with a negative sign and a fraction?

A: If you have a mixed number with a negative sign and a fraction, you can convert it to a decimal number by following these steps:

  1. Separate the whole number and the fraction.
  2. Convert the fraction to a decimal by dividing the numerator by the denominator.
  3. Add the whole number and the decimal to get the final decimal number.

Q: Can I use a calculator to convert a mixed number to a decimal number with a negative sign?

A: Yes, you can use a calculator to convert a mixed number to a decimal number with a negative sign. Simply enter the mixed number into the calculator and it will give you the decimal equivalent.

Q: What if I get a different answer when converting a mixed number to a decimal number with a negative sign?

A: If you get a different answer when converting a mixed number to a decimal number with a negative sign, double-check your work to make sure you are following the correct steps. You can also use a calculator or a conversion chart to verify your answer.

Conclusion

In this article, we have answered some of the most frequently asked questions about converting mixed numbers to decimal numbers. We have covered topics such as what a mixed number is, how to convert a mixed number to a decimal number, and how to use a calculator or a conversion chart to convert a mixed number to a decimal number. We have also covered topics such as converting a decimal number to a mixed number and using a conversion chart to convert a mixed number to a decimal number. By following the steps outlined in this article, you can easily convert mixed numbers to decimal numbers.