How to Divide Whole Numbers by Decimals Step-by-Step?
FAQs on Class 5 Maths Worksheet: Dividing Whole Numbers by Decimals
1. How do you divide a whole number by a decimal in Class 5?
To divide a whole number by a decimal, you first convert the decimal divisor into a whole number by multiplying both the divisor and the dividend by the same power of 10.
- Step 1: Count the number of decimal places in the divisor (the number you are dividing by).
- Step 2: Multiply both the dividend (the whole number) and the divisor by 10, 100, or 1000 to make the divisor a whole number.
- Step 3: Perform the division as you would with two whole numbers.
- Example: To solve 48 ÷ 0.4, multiply both numbers by 10. The new problem becomes 480 ÷ 4, and the quotient is 120.
2. Does this decimal division worksheet include an answer key?
Yes, this decimal division worksheet for class 5 comes with a complete answer key for all the problems.
The answer key allows students and parents to easily check the solutions, making it perfect for self-practice and doubt resolution. This helps reinforce the correct method for solving division problems and boosts confidence.
3. Is this Class 5 Maths worksheet printable?
Absolutely. This worksheet is designed as a user-friendly, printable decimals worksheet available in a PDF format.
You can easily download and print it for offline use, making it an excellent resource for homework, exam preparation, or extra practice sessions at home. The layout is optimized for clear printing.
4. What is the main rule for dividing a whole number by a decimal?
The most important rule is to make the divisor (the number you are dividing by) a whole number before you begin the calculation.
This is achieved by shifting the decimal point to the right. To keep the equation balanced, you must also shift the decimal point in the dividend by the same number of places. For instance, in 56 ÷ 0.8, you change the problem to 560 ÷ 8 to find the correct answer.
5. Which syllabus does this worksheet for dividing decimals follow?
This worksheet is carefully created to align with the official CBSE and NCERT syllabus for Class 5 Maths.
The topics, question types, and difficulty level are based on the curriculum guidelines for 5th-grade students, ensuring it is a relevant and effective tool for school exam preparation.
6. What types of problems are included in this decimal division worksheet?
This worksheet offers a comprehensive mix of activities to ensure thorough practice and concept reinforcement.
- Solved Examples: To provide a clear, step-by-step decimal division guide.
- Practice Problems: A series of numerical exercises to build computational skills.
- Fill-in-the-Blank Questions: To test conceptual understanding.
- Decimal Word Problems: To help students apply their knowledge to real-life situations.
7. How can solving decimal word problems help my child?
Solving decimal word problems helps your child develop critical thinking and apply mathematical concepts to practical scenarios.
These problems improve a student's ability to read and interpret questions, identify the correct operation, and understand the real-world importance of decimal division. It builds a deeper conceptual foundation beyond just learning the calculation steps.
8. Why do we move the decimal point when dividing by a decimal?
We move the decimal point to transform the divisor into a whole number, which simplifies the division process significantly.
Mathematically, moving the decimal point one place to the right is equivalent to multiplying by 10. To maintain the value of the expression, we must also multiply the dividend by 10. This is based on the principle that multiplying the numerator and denominator of a fraction by the same non-zero number does not change its value.
9. What skills are built by using this decimal division worksheet?
This worksheet is designed to build several crucial mathematical skills for Grade 5 students.
- Accuracy: Improves precision in long division and handling decimal places.
- Conceptual Understanding: Solidifies the method of dividing whole numbers by decimals.
- Problem-Solving: Enhances the ability to tackle both numerical and contextual word problems.
- Confidence: Regular practice with this worksheet helps students become more confident in their maths abilities.
10. How to divide decimals for class 5?
In Class 5, the primary method for dividing with decimals is to first convert the divisor into a whole number.
- Step 1: Look at the divisor (e.g., 0.5 in 25 ÷ 0.5).
- Step 2: Multiply it by a power of 10 (like 10, 100) to make it a whole number (0.5 × 10 = 5).
- Step 3: Multiply the dividend by the same power of 10 (25 × 10 = 250).
- Step 4: Now, perform the simple division: 250 ÷ 5 = 50.
