140 divided by 4

2 min read 22-02-2025

Dividing numbers is a fundamental math skill. This article will walk you through solving 140 divided by 4, explaining the process step-by-step. Whether you're a student brushing up on your skills or an adult needing a refresher, this guide will help you understand long division. We'll explore different methods, ensuring you grasp the concept and can apply it to other division problems.

Understanding the Problem: 140 ÷ 4

The problem "140 divided by 4" asks: how many times does 4 go into 140? We can solve this using long division, a method that breaks down the division into manageable steps.

Method 1: Long Division

Long division is a systematic way to perform division. Here's how to solve 140 ÷ 4 using this method:

Set up the problem: Write 140 inside the long division symbol (⟌) and 4 outside.
Divide the tens: How many times does 4 go into 14 (the tens place)? It goes in 3 times (4 x 3 = 12). Write the 3 above the 4 in 140.
Subtract: Subtract 12 from 14, leaving 2.
Bring down: Bring down the 0 from the ones place next to the 2, making it 20.
Divide the ones: How many times does 4 go into 20? It goes in 5 times (4 x 5 = 20). Write the 5 above the 0 in 140.
Subtract: Subtract 20 from 20, leaving 0.
Result: There's no remainder. The answer is 35.

Therefore, 140 divided by 4 equals 35.

Method 2: Breaking it Down

Alternatively, you can break down the problem into smaller, easier divisions:

Divide by 2 twice: Dividing 140 by 2 gives 70. Dividing 70 by 2 gives 35. Since 2 x 2 = 4, this method also yields 35.

This method is useful for mentally solving simpler division problems.

Method 3: Using Multiplication

We can also use multiplication to verify our answer. If 140 divided by 4 equals 35, then 35 multiplied by 4 should equal 140. Let's check:

35 x 4 = 140

This confirms that our answer of 35 is correct.

Practical Applications

Understanding division is crucial for various real-world applications, including:

Sharing equally: If you have 140 candies to share equally among 4 friends, each friend gets 35 candies.
Calculating unit price: If 4 items cost $140, each item costs $35.
Measuring: If you need to cut a 140-inch rope into 4 equal pieces, each piece will be 35 inches long.

Conclusion

Dividing 140 by 4 results in 35. We explored different methods – long division, breaking down the problem, and using multiplication to verify the answer. Understanding these methods is key to mastering division and applying it effectively in various contexts. Remember to practice regularly to build your proficiency!