How to Divide Decimals by Decimals with Step-by-Step Examples
FAQs on Class 6 Maths Worksheet: Dividing Decimals by 1- and 2-Digit Numbers
1. How do you divide decimals for Class 6?
Dividing decimals in Class 6 involves a straightforward method where the main goal is to convert the divisor into a whole number before performing the division operation. This ensures the calculation is simpler and less prone to errors.
The key steps are:
- Step 1: Look at the divisor (the number you are dividing by).
- Step 2: Move the decimal point in the divisor to the right until it becomes a whole number. Count how many places you moved it.
- Step 3: Move the decimal point in the dividend (the number being divided) the same number of places to the right.
- Step 4: Place the decimal point for the answer (quotient) directly above the new position in the dividend and divide as you would with whole numbers.
2. What is the main rule for dividing a decimal by another decimal?
The most important rule for decimal by decimal division is to transform the problem into one where you are dividing by a whole number. This is achieved by shifting the decimal point in both the divisor and the dividend equally.
For example, to solve 7.2 ÷ 0.9:
- Make the divisor (0.9) a whole number by moving the decimal one place to the right, making it 9.
- Do the same for the dividend (7.2), moving the decimal one place to the right to make it 72.
- The new problem is 72 ÷ 9, which equals 8.
3. How do you divide a decimal by a 2-digit decimal number?
To divide a decimal by a 2-digit decimal divisor (e.g., 0.25), you must move the decimal point two places to the right in both numbers to make the divisor a whole number. For instance, to calculate 5.5 ÷ 0.25:
- Move the decimal in 0.25 two places to the right to get 25.
- Move the decimal in 5.5 two places to the right to get 550.
- Now, perform the division: 550 ÷ 25, which gives the final answer of 22.
4. Why is 0.6 divided by 0.2 equal to 3?
The reason 0.6 divided by 0.2 equals 3 is that the question is essentially asking how many times the value of 0.2 fits into 0.6. By converting the decimals to whole numbers for easier calculation, the relationship becomes clear.
Here’s the step-by-step logic:
- To make the divisor (0.2) a whole number, move the decimal one place to the right, resulting in 2.
- Do the same for the dividend (0.6), which becomes 6.
- The division is now 6 ÷ 2, which equals 3.
5. What kind of questions are in this Class 6 decimal division worksheet?
This Class 6 Maths worksheet offers a variety of question formats to build a strong understanding of dividing decimals. It is designed for comprehensive practice and conceptual clarity.
The worksheet includes:
- Numerical Problems: Direct practice questions on dividing decimals by both 1-digit and 2-digit decimal divisors.
- Fill in the Blanks: Questions that test understanding of quotient and divisor relationships.
- Decimal Word Problems: Real-world application questions to connect mathematical concepts to practical situations.
6. How does solving decimal word problems help in Class 6 Maths?
Solving decimal word problems is crucial in Class 6 Maths because it helps students transition from abstract calculation to practical application. This practice enhances critical thinking and analytical skills.
Key benefits include:
- Conceptual Understanding: It reinforces the 'why' behind decimal operations, not just the 'how'.
- Real-World Relevance: It shows how maths is used in everyday scenarios like shopping, measuring, and sharing.
- Problem-Solving Skills: It teaches students to identify key information, choose the correct operation (division), and interpret the result.
7. Is this dividing decimals worksheet printable and free to download?
Yes, this dividing decimals worksheet is completely free to download and is formatted as a printable PDF. This allows parents and teachers to easily access it for quick revision sessions, homework assignments, or classroom practice without any cost.
8. Does this worksheet include an answer key for checking solutions?
Absolutely. This decimal division worksheet comes with answers to help students and parents check their work accurately. The answer key allows for immediate feedback, which is essential for correcting mistakes and building confidence in the topic of decimal division.
9. What skills are improved by practising decimal division?
Practising decimal division helps Class 6 students develop multiple essential mathematical skills. Consistent practice enhances both speed and accuracy.
Skills built by this worksheet include:
- Computational Fluency: Getting faster and more accurate with long division.
- Decimal Placement: Understanding the importance of place value in determining the correct answer.
- Attention to Detail: Carefully aligning numbers and decimal points.
- Problem-Solving: Applying the division steps correctly, especially in word problems.
10. How can I use this worksheet at home for revision?
This worksheet is an excellent resource for home revision on dividing decimals. Parents can download and print the worksheet for their child to work on independently.
For effective use:
- Encourage your child to attempt all the questions first without help.
- Use the provided answer key to check the solutions together.
- Discuss any mistakes to understand where the error occurred, reinforcing the correct step-by-step decimal division method.
