1 Simple Way To Write 90.125 In Expanded Form

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Expanded form 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 how numbers are represented. Writing a number in expanded form involves breaking it down into its individual digits and expressing each digit in terms of its place value.

Understanding Expanded Form

To write a number in expanded form, we need to understand the place value of each digit. The place value of a digit is determined by its position in the number. The place values, from right to left, are ones, tens, hundreds, thousands, and so on.

Breaking Down the Number 90.125

To write 90.125 in expanded form, we need to break it down into its individual digits and express each digit in terms of its place value.

90.125 can be broken down as follows:

• 9 tens = 90
• 0 ones = 0
• 1 tenth = 0.1
• 2 hundredths = 0.02
• 5 thousandths = 0.005

Writing 90.125 in Expanded Form

Now that we have broken down the number 90.125 into its individual digits and expressed each digit in terms of its place value, we can write it in expanded form.

90.125 in expanded form is:

90 + 0 + 0.1 + 0.02 + 0.005

This can be simplified to:

90 + 0.1 + 0.02 + 0.005

Simplifying the Expanded Form

We can further simplify the expanded form by combining the terms.

90 + 0.1 + 0.02 + 0.005 = 90.125

Therefore, the expanded form of 90.125 is:

90 + 0.1 + 0.02 + 0.005

Benefits of Expanded Form

Writing numbers in expanded form has several benefits. It helps to:

• Understand the concept of place value
• Visualize the relationship between digits and their place value
• Perform arithmetic operations, such as addition and subtraction, more accurately
• Represent numbers in a more detailed and precise way

Real-World Applications of Expanded Form

Expanded form has several real-world applications. It is used in:

• Science and engineering to represent precise measurements
• Finance to calculate exact amounts
• Mathematics to perform arithmetic operations
• Education to teach the concept of place value

Conclusion

In conclusion, writing 90.125 in expanded form is a simple way to break down a number into its individual digits and express each digit in terms of its place value. It helps to understand the concept of place value and has several real-world applications. By writing numbers in expanded form, we can visualize the relationship between digits and their place value, perform arithmetic operations more accurately, and represent numbers in a more detailed and precise way.