Easy Ways To Write 47 In Expanded Form

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Expanded form is a way of expressing numbers in terms of their place value, making it easier to understand and visualize the number's composition. Writing numbers in expanded form can be a bit tricky, but with practice, it becomes a breeze. In this article, we'll explore the concept of expanded form and provide a step-by-step guide on how to write 47 in expanded form.

What is Expanded Form?

Expanded form is a way of representing numbers by breaking them down into their individual digits, each multiplied by its corresponding place value. This representation helps to illustrate the concept of place value, making it easier to understand and work with numbers.

Understanding Place Value

To write numbers in expanded form, you need to understand the concept of place value. Place value refers to the value of a digit depending on its position in a number. The place values, from right to left, are:

• Ones (or units)
• Tens
• Hundreds
• Thousands
• Ten thousands
• Hundred thousands
• Millions

Each place value is 10 times greater than the one to its right. For example, the tens place is 10 times greater than the ones place.

How to Write 47 in Expanded Form

Now that we understand the concept of place value, let's learn how to write 47 in expanded form. To do this, we'll break down the number 47 into its individual digits and multiply each digit by its corresponding place value.

• 40 = 4 × 10 (tens place)
• 7 = 7 × 1 (ones place)

Therefore, the expanded form of 47 is:

40 + 7 = 4 × 10 + 7 × 1

Step-by-Step Guide

Here's a step-by-step guide to help you write numbers in expanded form:

1. Write the number you want to express in expanded form.
2. Break down the number into its individual digits.
3. Identify the place value of each digit (ones, tens, hundreds, etc.).
4. Multiply each digit by its corresponding place value.
5. Write the results in expanded form, using addition to combine the individual digits.

Benefits of Expanded Form

Writing numbers in expanded form has several benefits, including:

• Improved understanding of place value
• Enhanced visualization of numbers
• Easier calculation and comparison of numbers
• Better representation of numbers in word problems

Real-World Applications of Expanded Form

Expanded form has numerous real-world applications, including:

• Financial calculations: Expanded form is useful when calculating interest rates, investments, and loans.
• Scientific notation: Expanded form is used to express large numbers in scientific notation.
• Data analysis: Expanded form helps to visualize and analyze data in various fields, such as economics, psychology, and sociology.

Conclusion

Writing numbers in expanded form is an essential math concept that helps to improve our understanding of place value and numbers. By following the step-by-step guide outlined in this article, you can easily write numbers in expanded form and apply this concept to various real-world applications.

We hope this article has helped you to understand the concept of expanded form and how to write numbers in expanded form. If you have any questions or comments, please feel free to share them below.