Step-by-Step Guide to Solving 3-Digit Division with Remainders
FAQs on 3-Digit by 1-Digit Long Division with Remainders – Class 4 Maths Practice
1. How do you do long division with 3 digits by 1 digit with a remainder?
To solve a 3-digit by 1-digit long division problem with a remainder, you follow a simple step-by-step process. This method helps you find both the quotient and the leftover amount, known as the remainder.
- Step 1 (Divide): Divide the first digit of the dividend (the 3-digit number) by the divisor (the 1-digit number).
- Step 2 (Multiply): Multiply the result from Step 1 by the divisor.
- Step 3 (Subtract): Subtract this product from the first digit of the dividend.
- Step 4 (Bring Down): Bring down the next digit of the dividend next to the result of the subtraction.
- Step 5 (Repeat): Repeat the divide, multiply, subtract, and bring down steps until no digits are left. The final number left over is the remainder.
2. How do you write remainders in long division for Class 4?
In Class 4 maths, the remainder is the leftover amount after a division sum is complete. You write the remainder next to the quotient, usually with the letter 'R'.
For example, in the problem 723 ÷ 4, the answer is 180 with a remainder of 3. This is written as:
- Quotient: 180
- Remainder: 3
- Final Answer: 180 R 3
This shows that 4 goes into 723 a total of 180 times, with 3 left over.
3. What are the main parts of a division problem?
Every division problem has four main parts that describe the numbers involved in the calculation. Understanding these terms is essential for solving division sums with remainders.
- Dividend: The number that is being divided (e.g., in 512 ÷ 3, the dividend is 512).
- Divisor: The number you are dividing by (e.g., in 512 ÷ 3, the divisor is 3).
- Quotient: The result of the division, or how many times the divisor goes into the dividend (e.g., in 512 ÷ 3, the quotient is 170).
- Remainder: The amount left over after the division is complete (e.g., in 512 ÷ 3, the remainder is 2).
4. How can I check if my long division answer is correct?
You can easily check your answer for a long division problem with a remainder by using a simple formula. This method helps confirm that your quotient and remainder are accurate.
Use the following rule:
(Quotient × Divisor) + Remainder = Dividend
For example, if you solved 846 ÷ 5 = 169 R 1:
- Multiply the quotient and the divisor: 169 × 5 = 845
- Add the remainder: 845 + 1 = 846
- The result (846) matches the original dividend, so the answer is correct.
5. What is taught in Class 4 Maths long division with remainders?
In Class 4 Maths, students learn the long division method for dividing a 3-digit number by a 1-digit number, which results in a remainder. Key concepts covered include:
- The step-by-step division algorithm (Divide, Multiply, Subtract, Bring Down).
- Understanding and identifying the dividend, divisor, quotient, and remainder.
- Correctly writing the final answer, including the remainder (e.g., 122 R 5).
- Applying division skills to solve division word problems.
- Using multiplication and addition to check the division answer.
6. Is this 3-digit division worksheet printable and does it include an answer key?
Yes, this Class 4 maths long division worksheet is designed to be easily printable for practice at home or in the classroom. It is available as a downloadable PDF.
- Printable Format: You can download and print the worksheet for hands-on, offline practice.
- Answer Key Included: A complete answer key is provided with the worksheet. This allows parents and students to check the solutions and build confidence in their division skills.
7. Can you give an example of a 3-digit by 1-digit division with a remainder?
Certainly. A common example of 3-digit by 1-digit division with a remainder is solving a problem like 995 ÷ 7. Here is how you would solve it:
- Problem: Divide 995 by 7.
- Quotient: 142
- Remainder: 1
- Final Answer: 142 R 1
This means 7 goes into 995 a total of 142 times, with 1 left over. These types of division questions for class 4 are excellent for practice.
8. Why are word problems included in division practice worksheets?
Word problems are included in division practice sheets to help students apply mathematical concepts to real-life situations. This goes beyond simple calculation and builds critical thinking.
- Practical Application: They show how division is used to share items equally, like distributing sweets among friends.
- Concept Reinforcement: Solving word problems helps solidify the understanding of when and why to use division.
- Problem-Solving Skills: They teach students to read, interpret, and identify the key information (dividend and divisor) needed to solve a problem.
9. What is a division statement?
A division statement is a mathematical sentence that shows the relationship between the dividend, divisor, quotient, and remainder. It is the complete equation that represents the division problem and its solution.
The standard format for a division statement is:
Dividend = (Divisor × Quotient) + Remainder
For example, for the problem 737 ÷ 6 = 122 R 5, the division statement would be:
737 = (6 × 122) + 5
10. What skills does this Class 4 long division worksheet help develop?
This Grade 4 division practice worksheet is designed to build several important mathematical skills beyond just finding the right answer. Regular practice helps students develop:
- Procedural Fluency: Mastering the step-by-step long division method.
- Number Sense: Understanding how numbers relate to each other through division.
- Conceptual Understanding: Grasping the meaning of quotient and remainder.
- Accuracy and Attention to Detail: Reducing calculation errors by following a structured process.
- Mathematical Confidence: Building self-assurance in solving complex division sums independently.
