Practice Writing 5-Digit Numbers in Expanded Form

For Class 4, the expanded form typically involves understanding and writing numbers up to 5 digits (up to 100,000). This concept is a key part of the place value topic in the CBSE Class 4 Maths syllabus, focusing on breaking down numbers into Ten Thousands, Thousands, Hundreds, Tens, and Ones.

For instance, a standard Class 4 problem would be to write 82,013 in its expanded form, which is 80,000 + 2,000 + 0 + 10 + 3.

The expanded form of the 5-digit number 35,713 is 30,000 + 5,000 + 700 + 10 + 3. This is found by breaking the number down based on each digit's place value:

• 3 in the Ten Thousands place = 30,000
• 5 in the Thousands place = 5,000
• 7 in the Hundreds place = 700
• 1 in the Tens place = 10
• 3 in the Ones place = 3

To explain expanded form to a child, describe it as 'stretching out' a number to see the value of each part. Using a place value chart is an excellent visual aid for this.

Here's a simple, step-by-step way:

1. Write a number, for example, 27,458.
2. Use a chart or columns to show that the 2 is '20,000', the 7 is '7,000', the 4 is '400', the 5 is '50', and the 8 is '8'.
3. Explain that you are adding these individual values together to get the original number.
4. This helps them understand that a digit's value depends on its position, a core concept of place value.

The main difference is how a number is written. Standard form is the usual way we write numbers using digits, while expanded form shows the number as a sum of its place values.

• Standard Form: Writing a number in its compact, numerical digit format. For example, 68,241.
• Expanded Form: Breaking that number apart to show the value of each digit. For example, 60,000 + 8,000 + 200 + 40 + 1.

Our worksheets provide practice in converting between these two forms.

Yes, this Class 4 maths expanded form worksheet is available as a free PDF printable document. Parents and teachers can easily download and print it for students to practice at home or in the classroom. The PDF format ensures the layout and questions are clear and ready for immediate use, making it a convenient tool for maths revision.

This worksheet is designed to strengthen several fundamental maths skills for Grade 4 students. Consistent practice helps develop:

• Place Value Understanding: Deepens the understanding of thousands and ten-thousands.
• Number Decomposition: The ability to break numbers down into their component parts.
• Numerical Reasoning: Enhances a student's ability to see relationships between numbers.
• Foundation for Operations: Builds a strong base for learning complex addition and subtraction with large numbers.

A place value chart is extremely helpful because it visually organizes a number's digits into their correct positions. It acts as a guide to prevent mistakes when writing the expanded form of a 5-digit number.

By placing each digit in its respective column (Ten Thousands, Thousands, Hundreds, Tens, Ones), a student can easily see its value. For example, in the number 90,502, the chart clearly shows there are '0' thousands and '0' tens, helping the student write the correct expanded form: 90,000 + 0 + 500 + 0 + 2.

Yes, our expanded form worksheets with answers are designed to support independent learning and make checking work easy for parents. An answer key with solutions for all the practice questions is provided. This allows students to self-assess their work and understand their mistakes, which is crucial for building confidence and mastering the concept.

Practicing with a 5-digit number expanded form worksheet is important because it solidifies a student's understanding of the number system. This skill is foundational in the Class 4 maths curriculum and essential for future learning.

Benefits include:

• Reinforcing the concept of place value up to 100,000.
• Improving number sense and the ability to handle large numbers.
• Preparing students for more advanced mathematical operations.
• Providing targeted maths revision for school tests and competitive practice.