How to Write 9-Digit Numbers in Expanded Form with Examples
FAQs on Class 6 Maths Place Value: Expanded Form of 9-Digit Numbers
1. What is the place value of a 9-digit number?
The place value of a 9-digit number defines the value of each digit based on its position, ranging from ones to ten crores in the Indian system. Understanding this is key for writing numbers in expanded form.
- Indian System: The places for a 9-digit number are Ones, Tens, Hundreds, Thousands, Ten Thousands, Lakhs, Ten Lakhs, Crores, and Ten Crores.
- International System: The places are Ones, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands, Millions, Ten Millions, and Hundred Millions.
2. How do you write a 9-digit number in expanded form?
To write a 9-digit number in expanded form, you break it down into the sum of the place values of each of its digits. This method of number decomposition shows the value contributed by each digit.
For example, the number 452,738,169 is written in expanded form as:
400,000,000 + 50,000,000 + 2,000,000 + 700,000 + 30,000 + 8,000 + 100 + 60 + 9.
3. Does this Class 6 Maths worksheet include an answer key?
Yes, this Class 6 Maths worksheet on expanded form comes with a complete answer key. The inclusion of answers allows students and parents to easily check the solutions, making it perfect for self-study and homework practice.
4. What skills does this expanded form worksheet help build?
This worksheet is designed to build several core numeracy skills for Class 6 students as per the CBSE syllabus. It focuses on strengthening a student's understanding of large numbers.
- Place Value Mastery: Deepens understanding of the value of each digit in 9-digit numbers.
- Number Decomposition: Teaches how to break down large numbers into their constituent parts.
- Numeracy Skills: Improves overall comfort and accuracy when working with large numbers.
- Conceptual Clarity: Reinforces the relationship between a number's standard form and its expanded form.
5. Is this worksheet on 9-digit numbers printable?
Yes, this practice worksheet is available as a free PDF that is easy to download and print. This format is ideal for students who need extra practice at home, for classroom assignments, or for revision before exams.
6. How does breaking numbers by place value help in Class 6 Maths?
Breaking numbers down by their place value is a fundamental skill in Class 6 Maths that helps in several ways. It is a core concept for mastering operations with large numbers.
- It simplifies the understanding of large and complex numbers.
- It forms the basis for learning addition, subtraction, multiplication, and division of multi-digit numbers.
- It helps in comparing and ordering numbers correctly.
- It aligns with the CBSE curriculum's focus on building strong foundational maths skills.
7. What types of questions are in this place value worksheet?
This Class 6 Maths place value worksheet includes a variety of activities to reinforce learning. The different formats ensure that students can practice the concept in multiple ways.
- Writing in Expanded Form: Students are given 9-digit numbers and asked to write them as a sum of their place values.
- Matching Exercises: A section requires matching numerals to their correct expanded forms.
- Fill in the Blanks: Drills where students complete the expanded form or identify the numeral from its expanded form.
8. What is 123,456,789 in expanded form?
Writing the 9-digit number 123,456,789 in expanded form involves showing the sum of the value of each digit. This is a common type of question found in Class 6 maths worksheets.
The expanded form is:
100,000,000 + 20,000,000 + 3,000,000 + 400,000 + 50,000 + 6,000 + 700 + 80 + 9.
9. What is the difference between the Indian and International number systems for 9 digits?
The main difference between the Indian and International systems lies in the placement of commas and the names of the place value periods after ten thousand. Both systems are important in the Class 6 syllabus.
- Indian System: Commas are placed after the hundreds, ten thousands, and ten lakhs place. The higher place values are called Lakhs and Crores. (e.g., 12,34,56,789 is Twelve Crore Thirty-Four Lakh Fifty-Six Thousand Seven Hundred Eighty-Nine).
- International System: Commas are placed after every three digits from the right. The higher place values are called Millions and Billions. (e.g., 123,456,789 is One Hundred Twenty-Three Million Four Hundred Fifty-Six Thousand Seven Hundred Eighty-Nine).
10. Who can use this Class 6 worksheet on expanded form?
This maths printable is designed for a variety of users involved in Grade 6 education. It serves as a valuable resource for reinforcing concepts taught in school.
- Grade 6 Students: For revision, self-study, and completing homework assignments related to place value.
- Parents: To provide their children with targeted practice material that aligns with the CBSE syllabus.
- Teachers: As a ready-to-use practice sheet for numeracy drills in the classroom or as a part of student assessments.
