Mastering Divisibility Rules for Easy Math Practice
Learning divisibility rules is an essential part of mastering mathematics, especially for students who want to improve their problem-solving skills and become proficient in mental math calculations. In this worksheet, we’ll explore the divisibility rules for various numbers, providing you with a comprehensive guide to practice and reinforce your understanding of these fundamental concepts.
What are Divisibility Rules?
Divisibility rules are guidelines used to determine whether a number can be divided evenly by another number. These rules help us quickly identify if a number is divisible by a specific divisor without performing the actual division. In this section, we’ll cover the divisibility rules for numbers 2, 3, 4, 5, 6, 7, 8, 9, and 10.
Divisibility Rule for 2
A number is divisible by 2 if its last digit is an even number (0, 2, 4, 6, or 8).
Divisibility Rule for 3
A number is divisible by 3 if the sum of its digits is divisible by 3.
Divisibility Rule for 4
A number is divisible by 4 if the last two digits form a number that is divisible by 4.
Divisibility Rule for 5
A number is divisible by 5 if its last digit is either 0 or 5.
Divisibility Rule for 6
A number is divisible by 6 if it is divisible by both 2 and 3.
Divisibility Rule for 7
A number is divisible by 7 if the difference between twice the digit at the units place and the number formed by the remaining digits is divisible by 7.
Divisibility Rule for 8
A number is divisible by 8 if the last three digits form a number that is divisible by 8.
Divisibility Rule for 9
A number is divisible by 9 if the sum of its digits is divisible by 9.
Divisibility Rule for 10
A number is divisible by 10 if its last digit is 0.
Practice Worksheet
Now that you’ve learned the divisibility rules, it’s time to put your knowledge into practice! Complete the following exercises to test your understanding of these rules.
| Number | Divisor | Is it Divisible? |
|---|---|---|
| 24 | 2 | Yes |
| 45 | 3 | Yes |
| 64 | 4 | Yes |
| 75 | 5 | Yes |
| 90 | 6 | Yes |
| 133 | 7 | No |
| 216 | 8 | Yes |
| 279 | 9 | Yes |
| 340 | 10 | Yes |
Answers and Explanations
- 24 is divisible by 2 because its last digit is 4, which is an even number.
- 45 is divisible by 3 because the sum of its digits (4 + 5 = 9) is divisible by 3.
- 64 is divisible by 4 because the last two digits (64) form a number that is divisible by 4.
- 75 is divisible by 5 because its last digit is 5.
- 90 is divisible by 6 because it is divisible by both 2 and 3.
- 133 is not divisible by 7 because the difference between twice the digit at the units place (2 x 3 = 6) and the number formed by the remaining digits (13) is not divisible by 7.
- 216 is divisible by 8 because the last three digits (216) form a number that is divisible by 8.
- 279 is divisible by 9 because the sum of its digits (2 + 7 + 9 = 18) is divisible by 9.
- 340 is divisible by 10 because its last digit is 0.
📝 Note: Make sure to review the explanations carefully and understand the reasoning behind each answer.
Conclusion
Mastering divisibility rules is a crucial step in developing your math skills and improving your mental calculation abilities. By practicing these rules and applying them to different numbers, you’ll become more proficient in determining whether a number is divisible by another number. Remember to review the rules regularly and challenge yourself with different exercises to reinforce your understanding.
What is the purpose of divisibility rules?
+Divisibility rules are guidelines used to determine whether a number can be divided evenly by another number. They help us quickly identify if a number is divisible by a specific divisor without performing the actual division.
How do I practice divisibility rules?
+Practice divisibility rules by completing exercises like the ones provided in this worksheet. You can also create your own exercises using different numbers and divisors.
Why are divisibility rules important?
+Divisibility rules are essential in mathematics because they help us quickly identify whether a number is divisible by another number. This skill is useful in various mathematical operations, such as fractions, decimals, and percentages.
Related Terms:
- Divisibility worksheet pdf
- Divisibility worksheets
