What Is 164.38 In Expanded Form

Quick Links :

Let's break down the number 164.38 into its expanded form.

Understanding Expanded Form

Expanded form is a way of writing a number that shows the value of each digit in terms of its place value. It's a helpful tool for understanding the relationship between digits and their corresponding values.

Breaking Down 164.38 into Expanded Form

To write 164.38 in expanded form, we'll break it down into its individual digits and their corresponding place values.

• 100s place: 1 × 100 = 100
• 10s place: 6 × 10 = 60
• 1s place: 4 × 1 = 4
• Tenths place: 3 × 0.1 = 0.3
• Hundredths place: 8 × 0.01 = 0.08

Now, let's add up the values:

100 + 60 + 4 + 0.3 + 0.08 = 164.38

So, the expanded form of 164.38 is:

100 + 60 + 4 + 0.3 + 0.08

Benefits of Expanded Form

Expanded form has several benefits, including:

• Improved understanding: Expanded form helps students understand the relationship between digits and their corresponding values.
• Better visualization: It provides a visual representation of the number, making it easier to understand and work with.
• Enhanced calculation skills: Expanded form can help students develop their calculation skills, such as addition and subtraction.

Real-World Applications of Expanded Form

Expanded form has several real-world applications, including:

• Finance: Expanded form is used in finance to calculate interest rates, investments, and loans.
• Science: It's used in scientific calculations, such as measuring the density of objects or calculating the area of a room.
• Engineering: Expanded form is used in engineering to calculate the stress on materials or the pressure in a system.

Conclusion

In conclusion, expanded form is a powerful tool for understanding the value of each digit in a number. By breaking down 164.38 into its expanded form, we can gain a deeper understanding of its individual components and how they contribute to the overall value.

We hope this article has helped you understand the concept of expanded form and its applications. Do you have any questions or topics you'd like to discuss? Please leave a comment below!