How to Divide Decimals by Decimals: Steps and Examples for Grade 6
FAQs on Dividing Decimals by 1, 2, and 3-Digit Decimals – Class 6 Maths Worksheet
1. What is the main rule for dividing decimals by decimals?
The most important rule for dividing decimals is to convert the divisor (the number you are dividing by) into a whole number before you start dividing. This is done by shifting the decimal point in both the divisor and the dividend.
- Step 1: Move the decimal point in the divisor to the right to make it a whole number.
- Step 2: Move the decimal point in the dividend the same number of places to the right.
- Step 3: Place the decimal point for the quotient (the answer) directly above the new position in the dividend.
- Step 4: Divide using the standard long division method as if they were whole numbers.
2. How do you divide decimals by 1, 2, or 3-digit decimals in Grade 6?
To divide decimals by 1, 2, or 3-digit decimals, you must first adjust the problem so you are dividing by a whole number. This method simplifies the decimal division problems and makes them easier to solve.
- Count the number of decimal places in the divisor (the 1, 2, or 3-digit decimal).
- Move the decimal point in both the divisor and the dividend to the right by that exact number of places. Add zeros to the dividend if necessary.
- Now that the divisor is a whole number, perform the division.
- Ensure the decimal point in your answer is correctly placed.
3. What types of questions are in this Class 6 Maths decimal division worksheet?
This worksheet provides a comprehensive mix of questions to master decimal division for grade 6, ensuring thorough practice and concept reinforcement.
- Skill-Building Questions: A series of problems focused on dividing decimals by 1, 2, and 3-digit decimals.
- Word Problems: Real-world scenarios involving money, distance, and measurements to apply division skills contextually.
- Rounding Practice: Questions that require students to find the quotient and then round the decimal quotient to a specified place value.
- Step-by-step Division: Problems formatted to encourage using the long division method for decimals.
4. Does this dividing decimals worksheet include an answer key?
Yes, this dividing decimals worksheet with answers comes with a complete answer key for all the questions. The answer key allows students to self-assess their work and helps parents support their child's learning by easily checking the solutions for all division of decimals exercises.
5. How can I use this worksheet at home for my child?
This worksheet is an excellent resource for home-based learning and can be used in several effective ways to improve your child's confidence in maths. It is designed as a printable decimal division worksheet that you can easily download and print.
- Use it for regular decimal division practice to reinforce classroom lessons.
- Assign it as homework to build discipline and review concepts.
- Use it for revision before school exams to test their understanding of grade 6 maths decimals.
6. Is this worksheet suitable for Grade 6 students?
Absolutely. This worksheet is specifically designed for Grade 6 students and aligns with the curriculum for this level, including standards like CBSE and NCERT. The difficulty of the problems, including dividing by 1, 2, and 3-digit decimals, is tailored to the cognitive and academic skills of 10 to 12-year-olds.
7. How do you round decimal quotients?
To round a decimal quotient, you must first perform the division and then look at the digit to the right of the required place value. This skill is often needed in decimal division problems where the division does not terminate.
- Identify the rounding place: Determine which place value you need to round to (e.g., tenths, hundredths).
- Look at the next digit: Check the digit immediately to the right of the rounding place.
- Apply the rule: If the digit is 5 or greater, round up the digit in the target place by one. If it is 4 or less, keep the digit as it is.
- Finalise the answer: Drop all the digits to the right of the rounded place.
8. What is the difference between dividing a decimal by a whole number and by another decimal?
The main difference lies in the first step of the process. While both use the long division method, dividing by a decimal requires an extra preparation step.
- Dividing by a Whole Number: You can start dividing immediately. Just place the decimal point in the quotient directly above the decimal point in the dividend.
- Dividing by a Decimal: You must first convert the divisor into a whole number by moving the decimal point. You must then move the decimal in the dividend by the same number of places before you can begin dividing.
9. Can I download this decimal division worksheet as a PDF?
Yes, this Class 6 Maths dividing decimals worksheet is available as a free PDF worksheet. You can easily download and print it for offline use, making it a convenient tool for students, parents, and teachers for practice and revision.
10. How does practicing decimal division help in real life?
Practicing decimal division is essential as it builds foundational skills used in many real-life situations. This worksheet includes word problems with decimals to demonstrate these applications.
- Managing Money: Calculating the price per item when buying in bulk or splitting a bill among friends.
- Measurements: Dividing lengths, weights, or volumes, such as cutting a piece of wood into equal smaller pieces.
- Cooking: Adjusting recipe ingredients by dividing quantities.
- Data Analysis: Finding averages, such as calculating average rainfall or test scores.
