Decimals Expanded Notation Practice for Class 5 Maths

To write 6.25 in expanded notation, you identify the place value of each digit and write it as a sum. This helps in understanding the composition of the decimal number.

• The digit 6 is in the ones place, so its value is 6.
• The digit 2 is in the tenths place, so its value is 0.2.
• The digit 5 is in the hundredths place, so its value is 0.05.

Therefore, the expanded notation is 6 + 0.2 + 0.05.

Writing 1234.56 in expanded form involves breaking down both the whole number and the decimal part according to their place values. Each digit is represented as its individual value, and these values are added together.

• 1 is in the thousands place = 1000
• 2 is in the hundreds place = 200
• 3 is in the tens place = 30
• 4 is in the ones place = 4
• 5 is in the tenths place = 0.5
• 6 is in the hundredths place = 0.06

The complete expanded form is: 1000 + 200 + 30 + 4 + 0.5 + 0.06.

This worksheet is designed for easy use at home for after-school practice or revision. Simply follow these steps for an effective learning session:

• Download and Print: Access the free printable worksheet by clicking the download button to get the PDF.
• Independent Practice: Let your child read the instructions and solve the practice questions on their own to build confidence.
• Check Answers: Use the included answer key to review the solutions with your child and clarify any doubts about decimal representation.

Yes, a complete and detailed answer key is provided with this worksheet. The solutions are clearly formatted, allowing parents and students to easily check their work and understand the correct method for writing decimals in expanded form.

Absolutely. This Class 5 Maths worksheet is available as a free, printable PDF. You can easily download it to your device and print it for classroom use, homework assignments, or extra practice at home.

This worksheet strengthens several core mathematical skills essential for Grade 5 students. By completing these exercises, students will improve their:

• Place Value Understanding: Deepens the concept of place value for both whole numbers and decimal fractions.
• Number Decomposition: Enhances the ability to break numbers down into their constituent parts (e.g., hundreds, tens, tenths).
• Decimal Notation Mastery: Builds confidence in reading, writing, and understanding decimal numbers and their standard and expanded forms.

To explain expanded notation to a child, it's best to use a simple and visual approach. Relate the concept to breaking apart a number into its building blocks based on value.

• Use a Place Value Chart: Show the child a number like 42.5 on a chart to visually separate the tens, ones, and tenths columns.
• Break It Down: Explain that the '4' is not just four, but 'forty' (40), the '2' is 'two' (2), and the '5' after the decimal point is 'five-tenths' (0.5).
• Add It Up: Show them that adding these blocks (40 + 2 + 0.5) rebuilds the original number, 42.5.

The standard form and expanded form are two different ways to represent the same number. Understanding both is key to mastering decimal place value.

• Standard Form: This is the usual way we write numbers using digits. For example, the standard form is 53.98.
• Expanded Form: This shows the number as a sum of the values of each of its digits. The expanded form of 53.98 is 50 + 3 + 0.9 + 0.08.

Yes, this decimal expanded notation worksheet for Class 5 is fully aligned with the NCERT curriculum and CBSE guidelines. The practice questions are designed by subject matter experts to reinforce the concepts taught in school and help students prepare effectively for exams.