How to Multiply Decimals by Whole Numbers – Steps and Examples for Grade 5
FAQs on Class 5 Maths Worksheet: Multiplying 2-Digit Decimals by Whole Numbers
1. How do you multiply a decimal by a 2-digit whole number?
To multiply a decimal by a 2-digit whole number, you ignore the decimal point during multiplication and then place it correctly in the final product. This method is a key part of decimals multiplication for Class 5.
Follow these steps:
- Step 1: Write the problem using column multiplication, ignoring the decimal point for now.
- Step 2: Multiply the numbers as if they were both whole numbers.
- Step 3: Count the number of decimal places in the original decimal number (e.g., 3.45 has two decimal places).
- Step 4: Place the decimal point in your answer so that it has the same number of decimal places you counted in Step 3.
2. How do you explain decimal multiplication to a child?
Explain decimal multiplication to a child by using real-world examples and focusing on the placement of the decimal point. This makes the concept less abstract for a Grade 5 student.
A simple way is to:
- Use Money: Relate the problem to money. For example, 4.50 × 3 is like finding the total cost of three items that each cost ₹4.50.
- Ignore, then Place: Tell them to first multiply 450 × 3 to get 1350.
- Count and Position: Explain that since the original number (4.50) had two digits after the decimal point, the final answer must also have two digits after the decimal point. So, 13.50 is the correct answer. This helps reinforce decimal place value.
3. What are some examples of multiplying decimals?
Examples of multiplying decimals include calculating costs, measurements, and distances, which are often found in multiplication word problems with decimals. This worksheet provides practice with problems like:
- Multiplying a decimal with two digits by a whole number: 5.28 × 14.
- Solving real-world scenarios: If a ribbon costs ₹3.75 per metre, what is the cost of 5 metres? (3.75 × 5)
- Finding the total weight of multiple items: If one bag of sugar weighs 2.5 kg, what is the weight of 10 bags? (2.5 × 10)
4. How can I use this Class 5 Maths worksheet at home?
You can easily use this worksheet at home by downloading the free, printable PDF for extra practice on multiplying decimals by whole numbers. It is designed for independent learning and homework support.
- Download & Print: Get the decimal multiplication worksheet PDF and print it out.
- Practice: Let your child work through the problems, which include column multiplication drills and word problems.
- Check Work: Use the included answer key to check their solutions, helping them understand mistakes and build confidence.
5. Does this multiplying decimals worksheet include an answer key?
Yes, this multiplying decimals by whole numbers worksheet with answers includes a complete answer key. The solutions are provided for every question, making it easy for parents and students to check their work.
Having an answer key is useful for:
- Providing immediate feedback.
- Identifying areas where the student needs more practice.
- Building confidence by allowing self-correction.
6. Is this worksheet printable?
Yes, this Class 5 Maths multiplying decimals worksheet is available as a downloadable and printable PDF. You can easily print it from any device for use in the classroom or for at-home practice, ensuring your child has access to quality educational materials.
7. What age group is this worksheet best for?
This worksheet is designed for students in Grade 5, who are typically 10–11 years old. The content is aligned with the Class 5 Maths syllabus and focuses on the advanced topic of multiplying 2-digit decimals by whole numbers, a key skill at this level.
8. How does this worksheet reinforce concept retention?
This worksheet reinforces concept retention through a structured approach that combines procedural practice with real-world application. It helps students master decimal multiplication for Class 5 by:
- Providing Step-by-Step Examples: Clear instructions and a solved example show how to perform the calculation correctly.
- Offering Varied Practice: A mix of column drills and fill-in-the-blanks helps solidify the multiplication process.
- Including Word Problems: Applying the skill to real-life multiplication scenarios ensures deeper conceptual understanding and long-term retention.
9. What skills are built by this multiplying decimals activity?
This activity builds several crucial maths skills for Grade 5 students. By completing this worksheet, learners will strengthen their:
- Procedural Fluency: Mastering the step-by-step process of column multiplication with decimals.
- Conceptual Understanding: Improving their grasp of decimal place value and its importance in calculations.
- Problem-Solving Skills: Applying mathematical knowledge to solve multiplication word problems with decimals.
- Accuracy and Attention to Detail: Carefully aligning numbers and placing the decimal point correctly in the final answer.
10. How do I check my answer when multiplying decimals?
You can check your answer by using estimation or by using the provided answer key in this printable multiplying decimals practice worksheet. Estimation is a quick way to see if your answer is reasonable.
For example, to solve 4.92 × 11:
- Estimate: Round 4.92 to the nearest whole number, which is 5.
- Calculate: Multiply 5 × 11 = 55.
- Compare: Your final answer should be close to 55. The actual answer is 54.12, which is very close to your estimate, indicating your calculation is likely correct.
