What Is 73,489 In Expanded Form?

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Understanding Expanded Form: A Mathematical Breakdown

Expanded form is a way of expressing numbers by breaking them down into their individual place values. This method is commonly used in mathematics to help understand the value of each digit within a number. In this article, we will delve into the concept of expanded form and use the number 73,489 as an example to illustrate this mathematical concept.

What is Expanded Form?

Expanded form is a mathematical notation that represents a number as the sum of its individual digits multiplied by their respective place values. This method helps to visualize the contribution of each digit to the overall value of the number. For instance, the number 456 can be expressed in expanded form as 400 + 50 + 6, where each digit is multiplied by its place value (hundreds, tens, and ones, respectively).

Breaking Down 73,489 into Expanded Form

To express 73,489 in expanded form, we need to identify the place value of each digit. Starting from the right, the place values are ones, tens, hundreds, thousands, and ten thousands.

• 9 is in the ones place (9 × 1 = 9)
• 8 is in the tens place (8 × 10 = 80)
• 4 is in the hundreds place (4 × 100 = 400)
• 3 is in the thousands place (3 × 1000 = 3000)
• 7 is in the ten thousands place (7 × 10,000 = 70,000)

Calculating the Expanded Form

Now, let's calculate the expanded form of 73,489:

73,489 = 70,000 + 3,000 + 400 + 80 + 9

Benefits of Using Expanded Form

Using expanded form has several benefits, including:

• Improved understanding of place value
• Enhanced visualization of numbers
• Simplified mental math calculations
• Better comprehension of mathematical concepts, such as addition and subtraction

Practical Applications of Expanded Form

Expanded form has numerous practical applications in real-life scenarios, such as:

• Balancing checkbooks and accounting for financial transactions
• Measuring quantities in science and engineering
• Calculating scores and statistics in sports
• Understanding numerical data in data analysis and statistics

Conclusion: A Deeper Understanding of Expanded Form

In conclusion, expanded form is a valuable mathematical concept that helps to break down numbers into their individual place values. By understanding expanded form, we can gain a deeper appreciation for the value of each digit within a number. The example of 73,489 illustrates the importance of expanded form in mathematical calculations and real-life applications.

We hope this article has provided you with a comprehensive understanding of expanded form and its practical applications. If you have any questions or comments, please feel free to share them below.