43 tens divided by 6

thorney

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06-03-2025

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Meta Description: Learn how to solve 43 tens divided by 6 easily! This guide breaks down the problem step-by-step, explaining the process and providing a clear answer. Perfect for students and anyone needing a refresher on division.

This article will guide you through solving the math problem: 43 tens divided by 6. We'll break down the process into manageable steps, making it easy to understand, even if you're not a math whiz.

Understanding the Problem

First, let's clarify what "43 tens" means. Ten is the same as 10. Therefore, 43 tens is equal to 43 x 10 = 430. So, our problem becomes: 430 divided by 6.

Methods for Solving 430 ÷ 6

There are several ways to approach this division problem. We'll explore two common methods: long division and estimation.

Method 1: Long Division

Long division is a systematic method for dividing larger numbers. Here's how to solve 430 ÷ 6 using long division:

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

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

3. Divide the tens: 6 goes into 43 seven times (6 x 7 = 42). Write the 7 above the 3 in 430.

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

5. Bring down the ones: Bring down the 0 from the ones place.

6. Divide the remainder: 6 goes into 10 one time (6 x 1 = 6). Write the 1 next to the 7.

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

8. Write the answer: The quotient is 71 with a remainder of 4. This can also be expressed as 71 R 4, or as a mixed number 71 ⁴⁄₆ (which simplifies to 71 ⅔).

Therefore, 430 ÷ 6 = 71 R 4, or 71 ⅔

Method 2: Estimation

Estimation provides a quick way to get a close approximation of the answer. Since 420 is divisible by 6 (420 ÷ 6 = 70), we know the answer will be slightly more than 70. Performing the long division confirms this.

Answer and Conclusion

Therefore, 43 tens divided by 6 is equal to 71 with a remainder of 4 (or 71 ⅔). Both long division and estimation can help you arrive at the correct solution. Remember to choose the method that best suits your understanding and the complexity of the problem. Understanding both methods will enhance your mathematical skills.