How to Solve Division by Whole Tens with Remainders (with Examples)
FAQs on Division by Whole Tens with Remainder: Grade 5 Practice Worksheet
1. How do you solve division by whole tens with a remainder?
To solve division by whole tens with a remainder, you estimate how many times the divisor fits into the dividend, then multiply, subtract, and identify the leftover number as the remainder. This is a key concept in Class 5 maths division.
- Estimate: For a problem like 785 ÷ 20, first estimate how many times 20 goes into 78. You can simplify this by thinking about how many 2s are in 7.
- Multiply & Subtract: Multiply your estimate by the divisor (e.g., 3 × 20 = 60) and subtract this from the relevant part of the dividend (78 - 60 = 18).
- Bring Down & Repeat: Bring down the next digit from the dividend (making it 185) and repeat the process.
- Find the Remainder: The final number left after the last subtraction is the remainder, which must be less than the divisor.
2. What is a remainder in division for Class 5?
A remainder in division is the whole number that is 'left over' after one number has been divided by another an equal number of times. The remainder is always smaller than the divisor.
For example, in the division sum 82 ÷ 10:
- The quotient is 8 (because 10 fits into 82 eight times).
- The amount left over is 2 (since 10 × 8 = 80, and 82 - 80 = 2).
- Therefore, the remainder is 2.
3. What are some examples of division by whole tens with a remainder?
Examples of division by whole tens with a remainder involve dividing a number by a multiple of 10, such as 20, 30, or 40, where the division is not exact. Here are some common division questions for Class 5:
- 825 ÷ 20 = 41 with a remainder of 5
- 940 ÷ 30 = 31 with a remainder of 10
- 738 ÷ 40 = 18 with a remainder of 18
- 567 ÷ 50 = 11 with a remainder of 17
4. How can I use this Class 5 division worksheet at home?
This worksheet is an excellent resource for home use, providing extra practice for students to master division by whole tens with remainders. Parents can use it in several ways:
- Homework Support: Use the worksheet to reinforce concepts taught in school.
- Revision Practice: It's a perfect tool for exam preparation and building confidence.
- Skill Building: Regular practice helps improve speed and accuracy in solving division sums.
- Checking Progress: The downloadable answer key allows parents to easily check their child's work and identify areas needing more focus.
5. What skills are built by solving division problems with remainders?
Solving division problems with remainders helps Grade 5 students develop several critical mathematical and logical skills. These maths practice activities are designed to improve:
- Numeracy and Accuracy: Enhances calculation skills and the correct application of long division steps.
- Problem-Solving: Teaches students how to manage situations where numbers do not divide perfectly.
- Logical Reasoning: Improves the ability to estimate, multiply, and subtract in a structured sequence.
- Conceptual Understanding: Reinforces the relationship between division and multiplication and strengthens the understanding of place value.
6. Is this division by whole tens worksheet printable and free to download?
Yes, this Class 5 maths division whole tens with remainder worksheet is designed to be easily printable and is available as a free PDF download. It is created for convenient use at home or in the classroom.
- Print-Friendly: The format uses clear fonts and provides adequate space for students to show their work.
- Free PDF: You can download the printable division worksheet instantly without any cost.
- Easy Access: No login is required, allowing for quick access to support your child's maths practice.
7. How do you check if a division answer with a remainder is correct?
You can easily check if a division answer is correct by using multiplication and addition. This method ensures your quotient and remainder are accurate.
- Use the Formula: (Quotient × Divisor) + Remainder = Dividend.
- Follow an Example: For the problem 942 ÷ 30 = 31 R 12.
- Step 1 (Multiply): Multiply the quotient (31) by the divisor (30): 31 × 30 = 930.
- Step 2 (Add): Add the remainder (12) to the result: 930 + 12 = 942.
- Step 3 (Verify): The result (942) matches the original dividend, so the answer is correct. This is a crucial step in division practice for Grade 5.
8. Does this division worksheet include an answer key?
Yes, a comprehensive answer key is provided with this Grade 5 maths worksheet. The answer key helps students, parents, and teachers to quickly and accurately verify the solutions.
- Supports Self-Learning: Students can check their own work, understand their mistakes, and learn independently.
- Saves Time for Parents: Parents can easily review their child's homework without needing to solve each division sum themselves.
- Provides Clarity: The key clearly lists the correct quotient and remainder for every problem.
9. What is the first step in dividing a number by a whole ten like 20?
The first and most important step in dividing by a whole ten like 20 is to estimate how many times the divisor (20) can go into the first part of the dividend. This is a core division strategy.
- Example Problem: 785 ÷ 20.
- Step 1: Look at the first digit of the dividend (7). Can 20 go into 7? No.
- Step 2: Look at the first two digits of the dividend (78).
- Step 3 (Estimate): Ask, "How many times does 20 go into 78?" A simple trick is to think, "How many 2s are in 7?" The answer (3) is your first estimate for the quotient.
10. Why is learning to divide by whole tens important?
Learning to divide by whole tens is a crucial skill in Class 5 Maths because it builds the foundation for more advanced division and enhances mental math abilities. It is important for several reasons:
- Foundation for Long Division: It is the first step towards mastering division with any two-digit or three-digit numbers.
- Mental Math Skills: It helps students make quick estimations and solve problems without writing them down.
- Real-World Application: This skill is practical for everyday tasks like sharing items into groups or splitting money.
- Place Value Reinforcement: Working with multiples of ten (like 10, 20, 30) strengthens a student's understanding of the number system.
