183 LearnersLast updated on May 26th, 2025
Divisibility Rule of 380
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly and sorting things. In this topic, we will learn about the divisibility rule of 380.
What is the Divisibility Rule of 380?
The divisibility rule for 380 is a method by which we can find out if a number is divisible by 380 or not without using the division method. Check whether 760 is divisible by 380 with the divisibility rule.
Step 1: A number must be divisible by both 10 and 38 to be divisible by 380. First, check the divisibility by 10; a number is divisible by 10 if it ends in 0. Here, 760 ends in 0.
Step 2: Next, check the divisibility by 38. Divide the number formed by the remaining digits (76) by 38. Here, 76 ÷ 38 = 2, which is an integer.
Step 3: As both conditions are satisfied, 760 is divisible by 380.
Tips and Tricks for Divisibility Rule of 380
Learning the divisibility rule will help kids to master the division. Let’s learn a few tips and tricks for the divisibility rule of 380.
- Know the multiples of 380: Memorize the multiples of 380 (380, 760, 1140, 1520…etc.) to quickly check the divisibility. If the result of the division by 38 is an integer and the number ends in 0, then the number is divisible by 380.
- Use the divisibility rules of 10 and 38 separately: Check a number's divisibility by 380 by verifying its divisibility by 10 and 38 separately.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 380.
For example: Check if 3040 is divisible by 380 using the divisibility test.
First, check for divisibility by 10: 3040 ends in 0.
Next, check for divisibility by 38: 304 ÷ 38 = 8, which is an integer.
Thus, 3040 is divisible by 380.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 380
The divisibility rule of 380 helps us to quickly check if the given number is divisible by 380, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by checking divisibility by 10 first and then by 38.
Mistake 2
Not checking divisibility by both 10 and 38.
Always ensure that the number is divisible by both 10 and 38 to confirm divisibility by 380.
Mistake 3
Ignoring the condition of ending in 0 for divisibility by 10.
Ensure that the number ends in 0 for it to be divisible by 10.
Mistake 4
Miscalculating the division by 38.
Double-check the division calculation to ensure accuracy.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps; to avoid the error, students should practice regularly.
Divisibility Rule of 380 Examples
Problem 1
Is 760 divisible by 380?
Yes, 760 is divisible by 380.
Explanation
To check if 760 is divisible by 380, we can follow these steps:
1) Divide 760 by 380.
2) The result is exactly 2, which is an integer.
3) Since the result is an integer, 760 is divisible by 380.
Problem 2
Check the divisibility rule of 380 for 1140.
Yes, 1140 is divisible by 380.
Explanation
For checking the divisibility of 1140 by 380, follow these steps:
1) Divide 1140 by 380.
2) The result is exactly 3, which is an integer.
3) Since the result is an integer, 1140 is divisible by 380.
Problem 3
Is -760 divisible by 380?
Yes, -760 is divisible by 380.
Explanation
To check if -760 is divisible by 380:
1) Remove the negative sign and check the number 760.
2) Divide 760 by 380.
3) The result is exactly 2, which is an integer.
4) Therefore, -760 is divisible by 380.
Problem 4
Can 500 be divisible by 380 following the divisibility rule?
No, 500 isn't divisible by 380.
Explanation
To check if 500 is divisible by 380:
1) Divide 500 by 380.
2) The result is approximately 1.3158, which is not an integer.
3) Since the result is not an integer, 500 is not divisible by 380.
Problem 5
Check the divisibility rule of 380 for 1900.
Yes, 1900 is divisible by 380.
Explanation
To check if 1900 is divisible by 380:
1) Divide 1900 by 380.
2) The result is exactly 5, which is an integer.
3) Since the result is an integer, 1900 is divisible by 380.
FAQs on Divisibility Rule of 380
1.What is the divisibility rule for 380?
2.How many numbers are there between 1 and 1000 that are divisible by 380?
3.Is 1140 divisible by 380?
4.What if the number does not end in 0?
5.Does the divisibility rule of 380 apply to all the integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 380?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 380 with numbers?
8.What role do numbers and Divisibility Rule of 380 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 380 skills?
Important Glossaries for Divisibility Rule of 380
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 10 if it ends with 0.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 380 are 380, 760, 1140…
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Division: Division is the operation of determining how many times one number is contained within another.
- Calculation: The process of using mathematics to find an answer.
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