How to Multiply Integers by Multiples of Ten: Rules and Examples
FAQs on Integer Multiplication with Whole Tens for Class 6
1. What are the rules for multiplying integers by whole tens for Class 6?
The rules for multiplying integers by whole tens in Class 6 are based on the signs of the numbers. First, multiply the numbers as usual, and then apply the correct sign to the final product based on these rules:
- Positive × Positive: The result is always positive (e.g., 5 × 20 = 100).
- Negative × Positive: The result is always negative (e.g., -5 × 20 = -100).
- Positive × Negative: The result is also negative (e.g., 5 × -20 = -100).
- Negative × Negative: The result becomes positive (e.g., -5 × -20 = 100).
2. How do you multiply a negative integer by a positive whole ten?
To multiply a negative integer by a positive whole ten, you first multiply their absolute values and then place a negative sign on the final answer. For example, to solve (-7) × 30, you would:
- Multiply the numbers without signs: 7 × 30 = 210.
- Apply the rule for multiplying a negative and a positive number, which gives a negative result.
- The final answer is -210. This is a key concept in Class 6 integer multiplication.
3. What are some examples of integer multiplication by whole tens?
Here are some solved examples of integer multiplication by whole tens, which are commonly found in Grade 6 math worksheets:
- Multiplying a positive integer by a positive whole ten: 8 × 40 = 320
- Multiplying a negative integer by a positive whole ten: (-9) × 10 = -90
- Multiplying a positive integer by a negative whole ten: 6 × (-50) = -300
- Multiplying a negative integer by a negative whole ten: (-3) × (-20) = 60
4. How can I use this Class 6 Maths worksheet on integer multiplication at home?
This worksheet is perfect for reinforcing classroom learning at home and can be used in several ways. Parents and students can use this printable integer worksheet for:
- Homework Practice: To solve extra questions after school.
- Revision: To revise the topic of multiplying integers by 10 before an exam.
- Skill Building: To improve calculation speed and accuracy.
- Self-Assessment: By using the provided answer key to check for mistakes and understand concepts better.
5. Does this worksheet on multiplying integers by whole tens include an answer key?
Yes, a complete and detailed answer key is provided with this Class 6 Maths worksheet. The solutions allow students and parents to easily check the answers for all the practice questions, helping to identify and correct mistakes immediately for effective learning.
6. Is this worksheet for Class 6 Maths printable and free to download?
Yes, this Class 6 Maths Integer Multiplication Whole Tens worksheet is completely free to download in a print-friendly PDF format. You can easily access the free PDF worksheet from any device, print it out, and use it for offline practice at home or in the classroom.
7. Why is practicing integer multiplication with whole tens important for Grade 6 students?
Practicing integer multiplication with whole tens is crucial for building a strong mathematical foundation in Grade 6. It helps students to:
- Master the rules of signs in multiplication, a fundamental concept in algebra.
- Develop mental math skills for faster calculations.
- Improve problem-solving abilities, especially for word problems on integer multiplication.
- Prepare for more complex topics like rational numbers and algebraic expressions in higher grades.
8. How does this worksheet help in understanding the sign rules in multiplication?
This worksheet is specifically designed to reinforce the sign rules in integer multiplication through repetitive practice. By solving a variety of problems involving positive and negative numbers, students can:
- Memorize that multiplying two numbers with the same sign (positive × positive or negative × negative) results in a positive product.
- Understand that multiplying two numbers with different signs (positive × negative) results in a negative product.
- Gain confidence and reduce common errors related to sign application.
9. Can this worksheet be used for solving word problems on integer multiplication?
While this worksheet focuses on direct calculation practice, the skills learned are essential for solving word problems on integer multiplication. By mastering the core concept of multiplying integers by whole tens, students will be better equipped to apply these skills to real-life scenarios like calculating temperature changes, financial debits, or changes in altitude.
10. How do you solve integer multiplication problems involving zero?
Solving integer multiplication problems that include zero is very simple due to the Zero Property of Multiplication. The rule states that any integer (whether positive, negative, or zero) multiplied by zero always results in zero.
- For example: (-15) × 0 = 0
- Similarly: 40 × 0 = 0
- And: 0 × (-20) = 0
