How Do You Multiply Decimals by 10 or 100 and Find Missing Factors?
FAQs on Class 6 Maths: Multiplying Decimals by 10 or 100 (Find the Missing Factor)
1. How do you multiply decimals by 10 or 100?
To multiply a decimal by 10 or 100, you simply shift the decimal point to the right, which increases the number's value.
- When multiplying by 10, move the decimal point one place to the right (e.g., 5.42 × 10 = 54.2).
- When multiplying by 100, move the decimal point two places to the right (e.g., 5.42 × 100 = 542).
2. What is the rule for multiplying decimals by 10 and 100?
The rule is to move the decimal point to the right by the same number of places as there are zeros in the multiplier (10, 100, etc.). This is a quick method based on decimal place value rules.
- For × 10 (one zero), shift one place right.
- For × 100 (two zeros), shift two places right.
3. How do you find a missing factor in decimal multiplication?
To find a missing factor in a decimal multiplication equation, you use the inverse operation, which is division. For powers of ten, you can also observe the movement of the decimal point.
- Example: In the equation ___ × 10 = 45.1, you can find the missing number by dividing 45.1 by 10, which means moving the decimal one place to the left.
- The missing factor is 4.51.
4. How can I use this Class 6 maths worksheet at home?
This worksheet is an excellent tool for home revision, allowing students to practise decimal multiplication in a structured way.
- First, download the free printable PDF of the worksheet.
- Encourage your child to solve the problems, focusing on accuracy with decimal point shifting.
- Use the provided answer key to check their work and clarify any doubts about finding the product or the missing factor.
5. Does this multiplying decimals worksheet include an answer key?
Yes, this worksheet comes with a complete and detailed answer key for all the questions. The solutions are clearly laid out, making it easy for students to check their own work and for parents to provide support during homework revision.
6. Is this decimal multiplication worksheet printable?
Absolutely. This Class 6 maths worksheet is designed as a print-ready PDF. You can easily download and print it for use in the classroom, as a homework assignment, or for extra practice at home.
7. What is the easiest way to multiply a decimal number by 100?
The simplest way to multiply any decimal number by 100 is to shift its decimal point exactly two places to the right. For example, to calculate 3.875 × 100, you move the decimal point two spots to get 387.5. If there aren't enough digits, add a zero (e.g., 4.9 × 100 = 490).
8. How does place value help in multiplying decimals by powers of ten?
Place value is the fundamental concept behind this multiplication rule. When you multiply by 10, each digit moves one position to the left to a place that is ten times greater (tenths become ones, ones become tens, etc.). This place value shift is visually shown by moving the decimal point one place to the right.
9. What skills are built by solving missing factor decimal problems?
Solving missing factor problems helps develop crucial mathematical skills beyond basic multiplication.
- Logical Reasoning: Students learn to think backwards from the result to find the cause.
- Inverse Operations: It reinforces the relationship between multiplication and division.
- Number Sense: It improves a student's understanding of how decimal shifting patterns work in both directions.
10. Why is it important for Class 6 students to master decimal multiplication?
Mastering decimal multiplication is a critical foundation for a Class 6 student's mathematical journey. This skill is essential for success in more advanced topics and for practical real-life scenarios.
- Future Topics: It is required for understanding percentages, measurement conversions, and data interpretation.
- Real-World Application: It is used daily in tasks involving money, cooking recipes, and calculating distances.
- Exam Performance: Strong decimal skills improve accuracy and speed in school exams.
