Subtract The Following Numbers, Then Round The Result To The Nearest Hundred:$\[ \begin{array}{r} 122,123 \\ -\quad 18,456 \\ \hline \end{array} \\]
Introduction
In mathematics, subtraction is a fundamental operation that involves finding the difference between two numbers. When dealing with large numbers, it's essential to follow a step-by-step approach to ensure accuracy and avoid errors. In this article, we will guide you through the process of subtracting large numbers, using the given example: . We will also discuss the importance of rounding the result to the nearest hundred.
Subtracting Large Numbers: A Step-by-Step Approach
To subtract large numbers, follow these steps:
- Write the numbers correctly: Ensure that the numbers are written in the correct format, with the correct number of digits and decimal places.
- Line up the numbers: Line up the numbers vertically, with the corresponding digits in the same column.
- Subtract from the right: Start subtracting from the rightmost digit, working your way left.
- Borrow if necessary: If a digit in the minuend (the number being subtracted from) is less than the digit in the subtrahend (the number being subtracted), borrow from the next digit to the left.
- Continue subtracting: Continue subtracting from the right, borrowing if necessary, until you reach the leftmost digit.
Example: Subtracting 122,123 and 18,456
Let's apply the steps to the given example:
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
|---|---|---|---|---|
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 |
Step 1: Write the numbers correctly
| 1 2 2 1 2 3 | - | 1 8 4 5 6 |
|---|
Step 2: Line up the numbers
| 1 2 2 1 2 3 | - | 1 8 4 5 6 |
|---|
Step 3: Subtract from the right
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
|---|---|---|---|---|
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 |
Step 4: Borrow if necessary
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
|---|---|---|---|---|
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 |
Step 5: Continue subtracting
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
|---|---|---|---|---|
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 | ||
| 1 2 2 1 2 3 | - | 1 8 4 5 6 |
Result: 103,667
The result of subtracting 122,123 and 18,456 is 103,667.
Rounding the Result to the Nearest Hundred
To round the result to the nearest hundred, we need to look at the last two digits (67). Since 67 is greater than 50, we round up to the next hundred.
Result: 104,000
The result of subtracting 122,123 and 18,456, rounded to the nearest hundred, is 104,000.
Conclusion
Q: What is the first step in subtracting large numbers?
A: The first step in subtracting large numbers is to write the numbers correctly, with the correct number of digits and decimal places.
Q: How do I line up the numbers when subtracting large numbers?
A: To line up the numbers, place the corresponding digits in the same column, making sure that the numbers are aligned properly.
Q: What is borrowing in subtraction?
A: Borrowing in subtraction is the process of taking a digit from the next column to the left to make up for a lack of a digit in the current column.
Q: When do I need to borrow in subtraction?
A: You need to borrow in subtraction when a digit in the minuend (the number being subtracted from) is less than the digit in the subtrahend (the number being subtracted).
Q: How do I continue subtracting after borrowing?
A: After borrowing, continue subtracting from the right, making sure to carry over any remaining digits to the next column.
Q: What is the result of subtracting 122,123 and 18,456?
A: The result of subtracting 122,123 and 18,456 is 103,667.
Q: How do I round the result to the nearest hundred?
A: To round the result to the nearest hundred, look at the last two digits (67). Since 67 is greater than 50, round up to the next hundred.
Q: What is the result of rounding 103,667 to the nearest hundred?
A: The result of rounding 103,667 to the nearest hundred is 104,000.
Q: Why is it important to round the result to the nearest hundred?
A: Rounding the result to the nearest hundred is important because it helps to simplify the result and make it easier to understand.
Q: Can I use a calculator to subtract large numbers?
A: Yes, you can use a calculator to subtract large numbers. However, it's still important to understand the process of subtracting large numbers by hand to ensure accuracy and build your math skills.
Q: What are some common mistakes to avoid when subtracting large numbers?
A: Some common mistakes to avoid when subtracting large numbers include:
- Not lining up the numbers correctly
- Not borrowing when necessary
- Not carrying over remaining digits to the next column
- Not rounding the result to the nearest hundred when necessary
Q: How can I practice subtracting large numbers?
A: You can practice subtracting large numbers by working through examples and exercises, such as the one provided in this article. You can also use online resources and math games to make practicing more fun and engaging.
Conclusion
Subtracting large numbers can be a challenging task, but with practice and patience, you can become proficient in this skill. By following the steps outlined in this article and avoiding common mistakes, you can confidently subtract large numbers and round the result to the nearest hundred. Remember to practice regularly and seek help when needed to build your math skills and achieve success.