Expanded Form Of 4.875 Made Easy

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Expanded form of a number is a way of expressing a number in terms of its place value. It is a useful tool for understanding the concept of place value and for performing arithmetic operations. In this article, we will focus on the expanded form of 4.875 and make it easy to understand.

What is Expanded Form?

Expanded form is a way of writing a number in terms of its place value. Each digit in the number is multiplied by its corresponding place value, and the results are added together. For example, the number 456 can be written in expanded form as 400 + 50 + 6.

Benefits of Expanded Form

1. Understanding place value: Expanded form helps to understand the concept of place value, which is the basis of arithmetic operations.
2. Performing arithmetic operations: Expanded form makes it easier to perform arithmetic operations such as addition and subtraction.
3. Breaking down numbers: Expanded form helps to break down numbers into smaller parts, making it easier to work with them.

Expanded Form of 4.875

Now, let's write the number 4.875 in expanded form. To do this, we need to break down the number into its place value.

4.875 = 4 (ones place) + 0.8 (tenths place) + 0.07 (hundredths place) + 0.005 (thousandths place)

So, the expanded form of 4.875 is:

4 + 0.8 + 0.07 + 0.005

How to Write Expanded Form of 4.875

1. Identify the place value: Identify the place value of each digit in the number.
2. Break down the number: Break down the number into its place value.
3. Write the expanded form: Write the expanded form by multiplying each digit by its corresponding place value and adding the results together.

Example Problems

Here are a few example problems to help you understand the expanded form of 4.875.

1. Add 2.5 to 4.875: To add 2.5 to 4.875, we need to write both numbers in expanded form.

4.875 = 4 + 0.8 + 0.07 + 0.005 2.5 = 2 + 0.5

Now, we can add the numbers together.

4.875 + 2.5 = (4 + 2) + (0.8 + 0.5) + 0.07 + 0.005 = 6 + 1.3 + 0.07 + 0.005 = 7.375

2. Subtract 1.2 from 4.875: To subtract 1.2 from 4.875, we need to write both numbers in expanded form.

4.875 = 4 + 0.8 + 0.07 + 0.005 1.2 = 1 + 0.2

Now, we can subtract the numbers.

4.875 - 1.2 = (4 - 1) + (0.8 - 0.2) + 0.07 + 0.005 = 3 + 0.6 + 0.07 + 0.005 = 3.675

Real-World Applications

Expanded form has many real-world applications.

1. Finance: Expanded form is used in finance to calculate interest rates and investment returns.
2. Science: Expanded form is used in science to express measurements and calculate results.
3. Engineering: Expanded form is used in engineering to design and build structures.

Conclusion

In conclusion, expanded form of 4.875 is a useful tool for understanding the concept of place value and for performing arithmetic operations. By breaking down the number into its place value, we can write it in expanded form and perform calculations easily. We hope this article has helped you understand the expanded form of 4.875 and its applications.

We invite you to comment below and share your thoughts on expanded form. How do you use expanded form in your daily life? Do you have any questions or topics you would like us to cover in future articles? Let us know!