Rules and Examples for Division of Integers in Class 6 Maths
FAQs on Division of Integers for Class 6 – Printable Maths Worksheet
1. What is the rule of division of integers?
The primary rule for the division of integers is based on the signs of the numbers. In short, if the signs are the same the answer is positive, and if the signs are different the answer is negative.
- Same Signs: If you divide two integers with the same sign (positive ÷ positive or negative ÷ negative), the resulting quotient is positive.
- Different Signs: If you divide two integers with different signs (positive ÷ negative or negative ÷ positive), the resulting quotient is negative.
2. How do you do division of integers in 6th grade?
To solve division of integers in Class 6 Maths, you first divide the numbers as whole numbers and then apply the rules of signs to find the final answer.
- Step 1: Ignore the positive and negative signs and perform the division as you normally would.
- Step 2: Look at the signs of the two original integers.
- Step 3: If both integers have the same sign, the answer is positive (+). For example, (-12) ÷ (-3) = 4.
- Step 4: If the integers have different signs, the answer is negative (-). For example, (12) ÷ (-3) = -4.
3. What are integers in math class 6?
In Class 6 Maths, integers are defined as a complete set of numbers that includes all positive whole numbers, all negative whole numbers, and zero.
- Examples of integers include -15, -4, 0, 7, and 50.
- Numbers like fractions (1/2) or decimals (3.5) are not integers.
- Integers are used on a number line and help represent real-world values like temperatures above and below zero or financial profits and losses.
4. How can I use this Class 6 Maths Division of Integers worksheet?
This worksheet is a versatile tool designed to strengthen a student's understanding of integer division through consistent practice.
- For Homework: Use the practice problems to complete school assignments and reinforce integer calculations.
- For Exam Preparation: Solve the questions as part of your revision to build speed and accuracy for tests.
- For Self-Study: Download the free PDF and use the answer key to check your work and understand the solutions.
5. Does this division of integers worksheet for class 6 come with answers?
Yes, a complete answer key is provided with this division of integers worksheet to allow students to check their work and learn independently.
The answer key includes solutions for all exercises, including direct division sums, fill-in-the-blanks, and word problems. For more complex problems, step-by-step solutions are also included to explain the correct method.
6. What topics are covered in this Grade 6 integer division worksheet?
This Grade 6 integer worksheet covers all essential topics for division of integers according to the latest NCERT and CBSE syllabus.
- Division of a positive integer by a negative integer.
- Division of a negative integer by a positive integer.
- Division of a negative integer by another negative integer.
- Simple integer division word problems that apply these concepts to practical situations.
- Exercises to practice the properties of integers related to division.
7. How do you divide a negative integer by another negative integer?
When you divide a negative integer by another negative integer, the result is always a positive integer.
This is because the signs are the same. According to the division rules of signs, 'negative ÷ negative = positive'. For example, to solve (-20) ÷ (-5), you first divide 20 by 5 to get 4. Since both original numbers were negative, the final answer is +4.
8. Is this integers worksheet for Class 6 available as a printable PDF?
Absolutely. This Class 6 Maths worksheet on the division of integers is available as a free, downloadable, and printable PDF file.
The design is optimized for easy printing on standard A4 paper, making it a convenient resource for parents, teachers, and students who need high-quality practice material for classroom activities, homework, or exam revision.
9. What happens when you divide an integer by -1?
When any integer is divided by -1, the result is the same number but with its sign changed.
- If you divide a positive integer by -1, it becomes negative. For example, 15 ÷ (-1) = -15.
- If you divide a negative integer by -1, it becomes positive. For example, (-15) ÷ (-1) = 15.
10. Why are word problems important in the division of integers worksheet?
Word problems are included in the division of integers worksheet to help students connect mathematical concepts to real-life situations.
They build critical thinking skills by requiring students to first understand the problem, identify the correct operation, and then apply the division rules for integers. This ensures a deeper conceptual understanding beyond just mechanical calculation and prepares them for more complex problem-solving.
