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140.25 divided by 17

140.25 divided by 17

2 min read 27-02-2025
140.25 divided by 17

Solving the Division Problem: 140.25 Divided by 17

This article will walk you through how to solve the division problem 140.25 ÷ 17. We'll cover the steps using long division, and then explore alternative methods using a calculator or online tools. Understanding this process is fundamental to mastering basic arithmetic.

Step-by-Step Long Division: 140.25 ÷ 17

Long division provides a methodical approach to solving this problem. Here's how it's done:

  1. Set up the problem: Write the dividend (140.25) inside the long division symbol and the divisor (17) outside.

  2. Divide the tens: How many times does 17 go into 140? It goes in 8 times (8 x 17 = 136). Write the 8 above the 0 in 140.

  3. Subtract: Subtract 136 from 140, leaving 4.

  4. Bring down the next digit: Bring down the 2 from 140.25, making the new number 42.

  5. Divide the ones: How many times does 17 go into 42? It goes in 2 times (2 x 17 = 34). Write the 2 above the 2 in 140.25.

  6. Subtract again: Subtract 34 from 42, leaving 8.

  7. Bring down the decimal: Bring down the 5 from 140.25, and add a zero after the 5 to make it 85.0 (We're working with decimals now).

  8. Divide the tenths: How many times does 17 go into 85? It goes in 5 times (5 x 17 = 85). Write the 5 above the 5 in 140.25.

  9. Final Subtraction: Subtract 85 from 85, leaving 0.

Therefore, 140.25 ÷ 17 = 8.25

Alternative Methods

While long division is a valuable skill, you can also use other methods:

  • Calculator: The simplest method is to use a calculator. Enter 140.25 ÷ 17 and press the equals button. The answer will be displayed as 8.25.

  • Online Calculators: Numerous online calculators are available. A quick search for "division calculator" will provide several options. These are particularly helpful for checking your work or for more complex calculations.

Conclusion

We've demonstrated how to solve 140.25 divided by 17 using long division, a calculator, and online tools. Understanding multiple approaches to solving division problems enhances your mathematical skills and allows you to choose the most convenient method based on the situation. Remember, practicing long division strengthens your understanding of numerical operations. The answer remains consistent: 8.25

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