How to Find Missing Factors When Multiplying Decimals by 10, 100, or 1000
FAQs on Class 6 Maths Worksheet: Multiplying Decimals by Powers of Ten
1. How do you multiply decimals by 10, 100, and 1000?
To multiply decimals by 10, 100, or 1000, you simply move the decimal point to the right according to the number of zeros in the multiplier.
- Multiply by 10: Move the decimal point one place to the right. (e.g., 5.432 × 10 = 54.32)
- Multiply by 100: Move the decimal point two places to the right. (e.g., 5.432 × 100 = 543.2)
- Multiply by 1000: Move the decimal point three places to the right. (e.g., 5.432 × 1000 = 5432)
If you run out of digits, add zeros as placeholders.
2. How do you solve for a missing factor in decimal multiplication problems?
To find the missing factor in problems like 3.14 × ___ = 314, you determine how many places the decimal point has moved in the product.
- First, compare the position of the decimal point in the original number (3.14) and the final product (314.0).
- Count how many places the decimal point shifted to the right. In this case, it moved two places.
- The missing factor is the power of ten with that many zeros. A two-place shift means the missing factor is 100.
3. What happens to the decimal point when you multiply a number by 100?
When you multiply a decimal number by 100, the decimal point shifts two places to the right, making the number 100 times larger.
- The number 100 has two zeros.
- Therefore, you must move the decimal point two places to the right.
- For example, in 7.89 × 100, the decimal point moves past the 8 and the 9, resulting in 789.
4. What kind of questions are included in this Class 6 Maths worksheet?
This Class 6 maths worksheet focuses on multiplying decimals by powers of ten and includes a variety of question formats to reinforce the concept.
- Fill in the Blank: Problems where students must find the missing factor (e.g., 4.56 × ___ = 45.6).
- Calculation Drills: Direct multiplication problems to build speed and accuracy.
- Missing Number Puzzles: Questions where students solve for either the starting decimal or the multiplier.
- Word Problems: Application-based questions to connect the concept to real-world scenarios.
5. Is this worksheet on multiplying decimals suitable for CBSE and NCERT students?
Yes, this worksheet is perfectly suitable for Class 6 students following the CBSE and NCERT curriculum.
- The topic of multiplying decimals by powers of 10 is a core concept in the Grade 6 maths syllabus.
- The problems are designed to align with the learning objectives and difficulty level prescribed by these educational boards.
- It serves as an excellent tool for exam revision and homework practice.
6. Does this decimal multiplication worksheet come with an answer key?
Yes, this decimal multiplication worksheet includes a complete answer key for all the problems.
- An answer key allows students and parents to quickly check the solutions and verify their work.
- This feature supports independent learning and helps identify any mistakes or areas that need more practice.
- The solutions are clearly formatted for easy self-evaluation.
7. How does this worksheet help improve maths calculation speed for Class 6 students?
This worksheet is designed as a calculation drill to significantly improve speed and confidence in handling decimals.
- By focusing on the simple rule of shifting the decimal point instead of long multiplication, it trains students to solve problems quickly.
- The repetitive practice in the “fill in the blank” and drill sections helps students internalise the pattern, making calculations almost instantaneous.
- Mastering this skill is crucial for saving time in exams on more complex problems involving decimal operations.
8. What is the main rule for multiplying decimals by powers of ten?
The main rule is to move the decimal point to the right by the same number of places as there are zeros in the power of ten you are multiplying by.
- Identify the multiplier: Check if it's 10, 100, 1000, 10000, etc.
- Count the zeros: For example, 1000 has three zeros.
- Shift the decimal: Move the decimal point in the other number three places to the right.
9. Can I download and print this multiplying decimals worksheet for homework?
Absolutely. This worksheet is available as a free, downloadable PDF, making it easy to print for homework, classroom use, or extra practice.
- The clean layout and clear fonts ensure it is easy to read and work on once printed.
- Parents and teachers can use it for revision before tests or as a supplementary learning resource.
- Simply click the download button to get the printable version with the included answer key.
10. Why is understanding decimal place value important for this topic?
Understanding decimal place value is fundamental because multiplying by powers of ten is essentially about changing the place value of each digit.
- When you multiply by 10, every digit moves one place to the left (e.g., the digit in the tenths place moves to the ones place).
- Shifting the decimal point to the right is a visual shortcut for this place value shift.
- A strong grasp of place value helps students understand why the rule works and prevents errors, especially when adding zeros is required.
