43 tens divided by 6

elenas club

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13-02-2025

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Dividing larger numbers can seem daunting, but breaking it down into smaller steps makes it manageable. This article will guide you through solving "43 tens divided by 6" clearly and concisely. We'll explore different methods to reach the answer, ensuring a thorough understanding of the process.

Understanding the Problem: 43 Tens Divided by 6

First, let's clarify what "43 tens" means. Ten is simply 10, so 43 tens is 43 x 10 = 430. Therefore, our problem becomes: 430 ÷ 6.

Method 1: Long Division

Long division is a classic method for tackling division problems. Here's how to solve 430 ÷ 6 using this approach:

1. Set up the problem: Write 6 outside the long division symbol (⟌) and 430 inside.

2. Divide the hundreds: 6 goes into 4 zero times.

3. Bring down the tens: Bring down the 3 to make 43.

4. Divide the tens: 6 goes into 43 seven times (6 x 7 = 42). Write 7 above the 3.

5. Subtract: Subtract 42 from 43, leaving a remainder of 1.

6. Bring down the ones: Bring down the 0 to make 10.

7. Divide the ones: 6 goes into 10 one time (6 x 1 = 6). Write 1 above the 0.

8. Subtract: Subtract 6 from 10, leaving a remainder of 4.

Result: 430 ÷ 6 = 71 with a remainder of 4. This can also be expressed as 71 R4, or as a mixed number: 71 ⁴⁄₆ (which simplifies to 71 ⅔).

Method 2: Breaking it Down

We can also simplify the problem by breaking it down. Since 430 is 420 + 10, we can divide each part separately:

• 420 ÷ 6: We know that 6 x 7 = 42, so 6 x 70 = 420. Therefore, 420 ÷ 6 = 70.

• 10 ÷ 6: 6 goes into 10 one time with a remainder of 4.

Adding the results: 70 + 1 = 71 with a remainder of 4. This confirms our long division result.

Method 3: Using a Calculator

For quick calculations, a calculator is a handy tool. Simply enter 430 ÷ 6 to get the answer: 71.666... This decimal representation shows the remainder as a fraction (the repeating 6s represent ⅔).

Conclusion: Understanding Remainders

Regardless of the method used, the division of 43 tens (430) by 6 results in 71 with a remainder of 4. Understanding remainders is crucial in division. They represent the portion left over after dividing as evenly as possible. This problem demonstrates different ways to approach division problems, emphasizing the importance of understanding the underlying principles. Remember to choose the method that works best for you and always double-check your work!