How to Divide Decimals by 2-Digit Whole Numbers: Step-by-Step Guide
FAQs on Class 6 Maths: Dividing Decimals by 2-Digit Whole Numbers
1. How do you divide decimals by 2-digit whole numbers?
To divide a decimal by a 2-digit whole number, you follow the standard long division method with one key step for the decimal point. This process helps find the correct quotient while maintaining place value.
- Set Up: Write the problem in the long division format with the decimal number as the dividend inside and the 2-digit whole number as the divisor outside.
- Place Decimal: Place the decimal point in the quotient directly above the decimal point in the dividend before you start dividing.
- Divide: Perform division as you would with whole numbers, ignoring the decimal point for the calculation steps.
- Add Zeros: If you have a remainder, add zeros to the end of the dividend and continue dividing until the remainder is zero or you reach the desired number of decimal places.
2. What is the first step when dividing a decimal by a whole number in Class 6?
The most important first step is to correctly set up the division problem and place the decimal point in the answer area. This ensures that the place value of your final answer, or quotient, is accurate.
- Write the division problem using the long division symbol.
- Immediately place the decimal point for the quotient directly above the decimal point in the dividend.
- Begin dividing the numbers as if they were whole numbers, starting from the leftmost digit of the dividend.
3. How can I use this worksheet on dividing decimals for Class 6 at home?
This worksheet is an excellent resource for home practice, designed to reinforce classroom learning and build confidence. Parents can use this free printable decimals worksheet to help their child master decimal division.
- Regular Practice: Encourage your child to solve a few problems each day to build consistency.
- Homework Help: Use it as a supplementary tool for school homework.
- Revision: It is perfect for revising the topic of dividing decimals by whole numbers before exams.
- Self-Assessment: The included answer key allows students to check their work and understand their mistakes.
4. Does this Class 6 Maths worksheet include an answer key?
Yes, a detailed answer key with step-by-step solutions is provided with this decimal division worksheet. The answer key helps students and parents check the final answers and understand the correct process for solving each problem, including proper decimal point alignment.
5. What should I do if the division doesn't end and I get a remainder?
When dividing decimals, you can continue the division process by adding zeros to the dividend if you have a remainder. This allows you to find a more precise quotient without leaving a remainder.
- After you have used all the digits in the dividend, place a zero at the end of the dividend.
- Bring down the zero and continue the long division with decimals process.
- You can keep adding zeros until the division terminates (the remainder becomes 0) or you have rounded the answer to the required number of decimal places.
6. Why is aligning the decimal point so important in decimal division?
Aligning the decimal point correctly is crucial because it maintains the correct place value of each digit in the quotient. Placing the decimal point in the quotient directly above its position in the dividend ensures that tenths are divided into tenths, hundredths into hundredths, and so on, giving you an accurate answer.
7. Are there any word problems included in this worksheet on dividing decimals by 2-digit whole numbers?
Yes, this worksheet includes application-based decimal word problems for Class 6. These problems help students connect the mathematical concept of decimal division to real-life situations, such as splitting money, calculating measurements, or finding averages, which reinforces conceptual understanding.
8. Is this worksheet suitable for CBSE and ICSE Class 6 exam preparation?
Absolutely. This worksheet is designed based on the core curriculum for Grade 6 Maths, making it highly suitable for students preparing for CBSE and ICSE exams. The practice questions help students build the speed and accuracy required for solving division problems with decimals in their school examinations.
9. How can I check my answer after completing a decimal division problem?
You can easily check your answer by using the inverse operation, which is multiplication. To verify your solution for a decimal and whole number division problem, simply multiply the quotient (your answer) by the divisor (the 2-digit whole number). The result should be equal to the original dividend (the decimal number you started with).
10. What skills are built by solving these decimal division exercises?
Solving the problems in this worksheet on dividing decimals helps develop several important mathematical skills. Beyond basic calculation, students improve their:
- Decimal Sense: A better understanding of decimal place value.
- Procedural Fluency: Mastering the step-by-step process of long division.
- Attention to Detail: Focusing on correct decimal point placement.
- Problem-Solving: Applying division skills to solve practical word problems.
- Error Checking: Learning how to verify answers for accuracy.
