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Chapter 3: Problem 70

Determine whether the first number is divisible by the second. $$ 2345 \text { by } 5 $$

Short Answer

Expert verified
Yes, 2345 is divisible by 5.

Step by step solution

01

Understand the Divisibility Rule for 5

A number is divisible by 5 if its last digit is either 0 or 5. This is a basic rule of divisibility.
02

Identify the Last Digit of the Number

Look at the last digit of the number 2345. The last digit here is 5.
03

Apply the Divisibility Rule

Check if the last digit (which is 5) satisfies the rule. Since the last digit is 5, it meets the criterion of the divisibility rule for 5.
04

Conclusion

Since the last digit of 2345 is 5, the number 2345 is divisible by 5.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

divisibility by 5
Divisibility rules help us to quickly determine if one number can be divided by another without leaving a remainder. For the rule of divisibility by 5, it's quite simple: a number is divisible by 5 if its last digit is either 0 or 5. This means you don't have to perform any complicated calculations. Just look at the last digit of the number you're checking.
basic mathematics
Basic mathematics lays the foundation for understanding more complex topics. Divisibility rules are part of these essential building blocks. By knowing how to quickly check if a number is divisible by 5, you can save time and avoid errors. When you see a number like 2345, you only need to focus on its last digit. This approach simplifies the problem. These rules are practical tools for solving mathematical problems more efficiently.
understanding divisibility
Understanding divisibility is crucial for tackling various mathematical problems. When we say a number is divisible by another, we mean it can be divided evenly without any remainder. In our example of 2345, the rule for divisibility by 5 tells us to look at the last digit. Since the last digit is 5, we know 2345 is divisible by 5. This makes the process straightforward and easy to grasp. These rules help build confidence in handling numbers and improve problem-solving skills.

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