Maîtrisez la soustraction des grands nombres en suivant ces techniques pas à pas

Maîtrisez la soustraction des grands nombres en suivant ces techniques pas à pas

Table of Contents

1. Introduction
2. Subtraction of Large Numbers
   • Writing the Numbers
   • Aligning the Units and Tens
   • Subtracting Digit by Digit
   • Borrowing Numbers
3. Example 1: 165 - 24
4. Example 2: 257 - 38
   • Borrowing Numbers from the Left
5. Example 3: 1,056 - 727
   • Borrowing Numbers Twice
6. Practice Questions
7. Answers to Practice Questions
8. Conclusion

🖥️ Subtraction of Large Numbers

Subtracting large numbers can seem daunting at first, but with the right approach, it becomes much simpler. In this article, we will explore the step-by-step process of subtracting large numbers and provide examples to illustrate the techniques involved. So let's dive in and discover how to subtract without getting overwhelmed.

💡 Example 1: 165 - 24

Let's start with a straightforward subtraction problem: 165 - 24. To begin, we write the numbers in vertical form, with the larger number at the top and the smaller number below it. In this case, 165 is the number we're subtracting from, and 24 is the number being subtracted.

Next, we align the units (ones) and tens columns, making sure they line up correctly. Now, we can begin subtracting digit by digit, starting from the rightmost column.

In this example:

• 5 take away 4 equals 1
• 6 take away 2 equals 4
• 1 take away nothing equals 1

Hence, the result of 165 - 24 is 141.

💡 Example 2: 257 - 38

Now, let's explore a slightly more complex subtraction problem: 257 - 38. As before, we write the numbers vertically, with the larger number on top and the smaller number below it.

When we subtract 8 from 7 in the ones column, we encounter a problem. We cannot directly subtract 8 from 7; we need to borrow some numbers. To do this, we look to the left of the 7 and take one of the numbers from the tens column, resulting in the new calculation of 17 - 8.

Continuing with this approach:

• 7 take away 8 is not possible, so we borrow 1 from the tens column, making it 6 take away 8, which equals 9.
• 5 take away 3 equals 2.
• 2 take away nothing is 2.

Therefore, the result of 257 - 38 is 219.

💡 Example 3: 1,056 - 727

Let's tackle a more challenging subtraction problem: 1,056 - 727. We proceed by writing the numbers vertically.

While subtracting 7 from 6 in the ones column, we encounter the need for borrowing numbers again. This time, we need to borrow not just once but twice. We take one from the tens column and end up with 15 - 7 instead of 6 - 7.

Applying the same process step by step:

• 6 take away 7 is not possible, so we borrow 1 from the tens column, resulting in 15 take away 7, which equals 8.
• 5 take away 2 is 3.
• 1 take away nothing is 1.
• 0 take away nothing is 0.

Thus, the result of 1,056 - 727 is 329.

📚 Practice Questions

Now, let's put your subtraction skills to the test with a few practice questions. Try solving these problems on your own before reviewing the answers.

1. 3,532 - 1,705
2. 1,019 - 192
3. 4,137 - 978

Feel free to pause the video to solve the questions. Once you're ready, continue to see the answers.

✅ Answers to Practice Questions

Here are the answers to the practice questions:

1. 3,532 - 1,705 = 1,827
2. 1,019 - 192 = 827
3. 4,137 - 978 = 3,159

Conclusion

Subtracting large numbers may seem intimidating at first, but by following these step-by-step techniques, you can master this skill. Remember to align the columns correctly, borrow numbers when needed, and subtract digit by digit. With practice, you'll become more confident in performing complex subtractions with ease. Keep practicing, and soon you'll be a subtraction expert!

Resources:

• Math is Fun - Subtraction
• Khan Academy - Subtraction