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123 LearnersLast updated on February 18th, 2025
Divisibility Rule of 950
The divisibility rule is a way to determine if a number can be divided evenly by another number without actually performing the division. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will explore the divisibility rule of 950.
What is the Divisibility Rule of 950?
The divisibility rule for 950 is a method to determine if a number is divisible by 950 without performing the division. Let's check whether 2850 is divisible by 950 using the divisibility rule.
Step 1: Check if the number ends with three zeros or if the last three digits are divisible by 950. In 2850, the last three digits are 850.
Step 2: Since 850 is not equal to 950, check if it is a multiple of 950. Since 850 is not a multiple of 950, 2850 is not divisible by 950.
Tips and Tricks for Divisibility Rule of 950
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 950.
Know the multiples of 950:
Memorize the multiples of 950 (950, 1900, 2850, 3800, etc.) to quickly determine divisibility. If the last three digits form a multiple of 950, then the number is divisible by 950.
Use estimation for large numbers:
For large numbers, estimate by checking if the last three digits form a number close to a multiple of 950.
Repeat the process for very large numbers:
For very large numbers, consider dividing the number into smaller parts and checking each part separately.
Use the division method to verify:
Students can use the division method as a way to verify and cross-check their results. This will help them confirm their findings and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 950
The divisibility rule of 950 helps us quickly check if a given number is divisible by 950, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will discuss some common mistakes and how to avoid them.
Mistake 1
Not checking the last three digits.
Always ensure you are examining the last three digits of the number to see if they form a multiple of 950.
Divisibility Rule of 950 Examples
Problem 1
Is 2850 divisible by 950?
Yes, 2850 is divisible by 950.
Explanation
To check divisibility by 950, consider the number 2850. Since 2850 ends in 50, it's clear that the number is divisible by 50. Next, divide 2850 by 50 to get 57. Check if 57 is divisible by 19 (because 950 = 19 × 50). Since 57 ÷ 19 = 3, 57 is divisible by 19. Thus, 2850 is divisible by 950.
Problem 2
Determine if 1900 is divisible by 950.
Yes, 1900 is divisible by 950.
Explanation
Start by checking if 1900 ends in 50 or 00, which it does. Divide 1900 by 50 to get 38. Check if 38 is divisible by 19. Since 38 ÷ 19 = 2, 38 is divisible by 19. Therefore, 1900 is divisible by 950.
Problem 3
Is 4750 divisible by 950?
No, 4750 is not divisible by 950.
Explanation
First, check if 4750 ends in 50 or 00, which it does. Divide 4750 by 50 to get 95. Check if 95 is divisible by 19. Since 95 ÷ 19 is not an integer, 95 is not divisible by 19. Therefore, 4750 is not divisible by 950.
Problem 4
Can 7600 be divisible by 950?
Yes, 7600 is divisible by 950.
Explanation
Check if 7600 ends in 50 or 00, which it does. Divide 7600 by 50 to get 152. Check if 152 is divisible by 19. Since 152 ÷ 19 = 8, 152 is divisible by 19. Therefore, 7600 is divisible by 950.
Problem 5
Verify the divisibility rule of 950 for 8550.
No, 8550 is not divisible by 950.
Explanation
First, confirm that 8550 ends in 50 or 00, which it does. Divide 8550 by 50 to get 171. Check if 171 is divisible by 19. Since 171 ÷ 19 is not an integer, 171 is not divisible by 19. Thus, 8550 is not divisible by 950.
FAQs on Divisibility Rule of 950
1.What is the divisibility rule for 950?
2.How many numbers between 1 and 10000 are divisible by 950?
3.Is 4750 divisible by 950?
4.What if the last three digits are zero?
5.Does the divisibility rule of 950 apply to all integers?
Important Glossaries for Divisibility Rule of 950
- Divisibility Rule: A set of rules used to determine if a number can be divided by another number without a remainder.
- Multiple: A number that can be divided by another number without a remainder. For example, multiples of 950 are 950, 1900, 2850, etc.
- Estimation: The process of finding an approximate value, often used for large numbers in divisibility checks.
- Digit: Any of the numerals from 0 to 9, especially when forming part of a number.
- Integer: A whole number that can be positive, negative, or zero.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
