What Is The Difference Between 16.75 And 30?

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Understanding the Basics of Decimal Numbers

In mathematics, decimal numbers are a way to represent fractions and whole numbers using a base-10 system. They consist of a whole number part and a fractional part, separated by a decimal point. The whole number part is the number to the left of the decimal point, while the fractional part is the number to the right of the decimal point. In this article, we will explore the difference between two decimal numbers: 16.75 and 30.

What is 16.75?

16.75 is a decimal number that represents a value between 16 and 17. The whole number part is 16, and the fractional part is 0.75. This means that 16.75 is equal to 16 and three-quarters of a unit. To convert 16.75 to a fraction, we can write it as 16 3/4.

What is 30?

30 is a whole number that represents a value of thirty units. It is a decimal number with no fractional part, which means it is equal to 30.0.

Comparing 16.75 and 30

Now that we have a basic understanding of both numbers, let's compare them. The first thing to notice is that 16.75 is a decimal number, while 30 is a whole number. This means that 16.75 is a more precise representation of a value than 30.

Subtracting 16.75 from 30

To find the difference between 16.75 and 30, we can subtract 16.75 from 30. This can be represented as:

30 - 16.75 = ?

To perform this subtraction, we can start by subtracting the whole number part of 16.75 from 30. This gives us:

30 - 16 = 14

Next, we need to subtract the fractional part of 16.75 from 14. Since 16.75 is equal to 3/4, we can convert this fraction to a decimal by dividing 3 by 4:

3 ÷ 4 = 0.75

Now, we can subtract 0.75 from 14:

14 - 0.75 = 13.25

Therefore, the difference between 16.75 and 30 is 13.25.

Conclusion

In conclusion, the difference between 16.75 and 30 is 13.25. This demonstrates the importance of understanding decimal numbers and how to perform arithmetic operations with them. By recognizing the difference between whole numbers and decimal numbers, we can perform calculations with greater accuracy and precision.

Key Takeaways

  • Decimal numbers are a way to represent fractions and whole numbers using a base-10 system.
  • The whole number part of a decimal number is the number to the left of the decimal point, while the fractional part is the number to the right of the decimal point.
  • To subtract a decimal number from a whole number, we can start by subtracting the whole number part of the decimal number from the whole number, and then subtract the fractional part of the decimal number from the result.
  • The difference between 16.75 and 30 is 13.25.

Frequently Asked Questions

Q: What is the difference between 16.75 and 30?

A: The difference between 16.75 and 30 is 13.25.

Q: How do I subtract a decimal number from a whole number?

A: To subtract a decimal number from a whole number, we can start by subtracting the whole number part of the decimal number from the whole number, and then subtract the fractional part of the decimal number from the result.

Q: What is the whole number part of 16.75?

A: The whole number part of 16.75 is 16.

Q: What is the fractional part of 16.75?

A: The fractional part of 16.75 is 0.75.

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

Q&A: Exploring the Basics of Decimal Numbers

In our previous article, we explored the difference between 16.75 and 30. In this article, we will answer some frequently asked questions about decimal numbers and provide additional insights into the world of mathematics.

Q: What is the difference between a whole number and a decimal number?

A: A whole number is a number that has no fractional part, such as 30. A decimal number, on the other hand, is a number that has a fractional part, such as 16.75. Decimal numbers can be used to represent fractions and whole numbers using a base-10 system.

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

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

  1. Identify the decimal number.
  2. Determine the place value of the last digit in the decimal number.
  3. Multiply the decimal number by 10 raised to the power of the place value.
  4. Simplify the resulting fraction.

For example, to convert 16.75 to a fraction, we can follow these steps:

  1. Identify the decimal number: 16.75
  2. Determine the place value of the last digit: 0.75 has a place value of 10^-2
  3. Multiply the decimal number by 10 raised to the power of the place value: 16.75 × 10^2 = 1675
  4. Simplify the resulting fraction: 1675 ÷ 100 = 16 3/4

Q: What is the difference between 16.75 and 30?

A: The difference between 16.75 and 30 is 13.25. This can be calculated by subtracting 16.75 from 30.

Q: How do I subtract a decimal number from a whole number?

A: To subtract a decimal number from a whole number, we can follow these steps:

  1. Subtract the whole number part of the decimal number from the whole number.
  2. Subtract the fractional part of the decimal number from the result.

For example, to subtract 16.75 from 30, we can follow these steps:

  1. Subtract the whole number part of the decimal number from the whole number: 30 - 16 = 14
  2. Subtract the fractional part of the decimal number from the result: 14 - 0.75 = 13.25

Q: What is the whole number part of 16.75?

A: The whole number part of 16.75 is 16.

Q: What is the fractional part of 16.75?

A: The fractional part of 16.75 is 0.75.

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

A: To convert a fraction to a decimal, we can divide the numerator by the denominator. For example, to convert 3/4 to a decimal, we can divide 3 by 4: 3 ÷ 4 = 0.75.

Q: What is the decimal representation of 3/4?

A: The decimal representation of 3/4 is 0.75.

Q: How do I add a decimal number to a whole number?

A: To add a decimal number to a whole number, we can follow these steps:

  1. Add the whole number part of the decimal number to the whole number.
  2. Add the fractional part of the decimal number to the result.

For example, to add 16.75 to 30, we can follow these steps:

  1. Add the whole number part of the decimal number to the whole number: 30 + 16 = 46
  2. Add the fractional part of the decimal number to the result: 46 + 0.75 = 46.75

Conclusion

In conclusion, understanding the difference between 16.75 and 30 requires a basic understanding of decimal numbers and how to perform arithmetic operations with them. By recognizing the difference between whole numbers and decimal numbers, we can perform calculations with greater accuracy and precision.

Key Takeaways

  • Decimal numbers are a way to represent fractions and whole numbers using a base-10 system.
  • The whole number part of a decimal number is the number to the left of the decimal point, while the fractional part is the number to the right of the decimal point.
  • To subtract a decimal number from a whole number, we can start by subtracting the whole number part of the decimal number from the whole number, and then subtract the fractional part of the decimal number from the result.
  • The difference between 16.75 and 30 is 13.25.
  • To convert a fraction to a decimal, we can divide the numerator by the denominator.
  • To add a decimal number to a whole number, we can start by adding the whole number part of the decimal number to the whole number, and then add the fractional part of the decimal number to the result.