How to Multiply Decimals by 10, 100, and 1000: Step-by-Step Guide
FAQs on Multiplying Decimals by 10, 100, and 1000 – Grade 5 Maths Practice
1. How do you multiply decimals by 10, 100, and 1000?
To multiply decimals by 10, 100, or 1000, you simply shift the decimal point to the right. The number of places you move the decimal point is equal to the number of zeros in the multiplier.
- Multiply by 10: Move the decimal point 1 place to the right (e.g., 5.432 × 10 = 54.32).
- Multiply by 100: Move the decimal point 2 places to the right (e.g., 5.432 × 100 = 543.2).
- Multiply by 1000: Move the decimal point 3 places to the right (e.g., 5.432 × 1000 = 5432).
2. What is the main rule for multiplying decimals by powers of 10?
The fundamental rule for the multiplication of decimals by powers of 10 (like 10, 100, 1000) is to move the decimal point to the right. This decimal point movement increases the value of the number.
- The number of places you shift the decimal depends on the number of zeros in the multiplier.
- For 10, move one place.
- For 100, move two places.
- For 1000, move three places.
3. Why does the decimal point move to the right when multiplying by 10, 100, or 1000?
The decimal point moves to the right because multiplying by 10, 100, or 1000 makes the number larger by increasing its place value. Each shift to the right makes every digit ten times bigger than its previous position.
- Multiplying by 10 makes the number 10 times larger.
- Multiplying by 100 makes it 100 times larger.
- This decimal point shift is a shortcut for the longer process of decimal multiplication in Class 5 Maths.
4. How do you multiply a 3-digit decimal (3d) by 100?
To multiply a decimal with three digits after the point (a 3d decimal) by 100, you move the decimal point two places to the right.
- Example: Consider the number 7.125.
- When you perform the calculation 7.125 × 100, the decimal point moves two spots to the right.
- The resulting answer is 712.5. This is a key concept in Class 5 Maths decimals.
5. What happens if there are not enough decimal places to move the point?
If you need to move the decimal point more places to the right than there are available digits, you simply add zeros to the end of the number to act as placeholders.
- Example: To calculate 4.8 × 1000.
- You must move the decimal point 3 places to the right.
- Starting with 4.8, one move gives you 48.
- You still need to move two more places, so you must add two zeros: 4800.
6. Is this decimal multiplication worksheet for Class 5 available as a printable PDF?
Yes, this worksheet on multiplying decimals by 10, 100, and 1000 is designed to be easily downloaded and printed. You can get a free Decimal Multiplication Worksheet for class 5 PDF for offline practice at home or in the classroom.
7. Does this practice worksheet include an answer key?
Yes, a complete answer key is provided with this worksheet. This allows students and parents to check the solutions and perform a quick self-assessment, which is essential for mastering the multiplication of decimals in Class 5.
8. What skills does this Class 5 Maths worksheet help to improve?
This worksheet is designed to strengthen several key mathematical skills for Grade 5 students.
- Place Value: Deepens understanding of how a digit's position determines its value.
- Multiplication Fluency: Improves speed and accuracy in performing multiplication.
- Decimal Operations: Builds a strong foundation for more complex calculations.
- Concept Reinforcement: Solidifies the rule of decimal point shifting.
9. How can I use this worksheet for effective homework or revision?
This worksheet is an excellent tool for both homework and revision for Class 5 Maths.
- For Homework: Use it for focused practice on the specific topic of multiplying decimals by whole numbers.
- For Revision: Use it as a timed drill before exams to boost speed and confidence.
- For Self-Check: The included answer key helps students identify and correct their mistakes independently.
10. What is the difference between multiplying a decimal by 10 and 100?
The key difference is the number of places the decimal point shifts to the right, which directly impacts the final value of the number.
- Multiplying by 10: You move the decimal point one place to the right, making the number 10 times larger (e.g., 3.45 x 10 = 34.5).
- Multiplying by 100: You move the decimal point two places to the right, making the number 100 times larger (e.g., 3.45 x 100 = 345).
