Look At This Subtraction Equation: 121,601 - 108,397. Which Statements Are True? Select All That Apply.A. There Are Not Enough Ones In The Top Number To Subtract. You Need To Regroup.B. After Subtracting The Ones, There Are Not Enough Tens In The Top
Introduction
Subtraction is a fundamental operation in mathematics that involves finding the difference between two numbers. It is an essential concept in arithmetic and is used extensively in various mathematical operations. In this article, we will explore the concept of subtraction, focusing on a specific equation: 121,601 - 108,397. We will examine the statements provided and determine which ones are true.
The Subtraction Equation
The given equation is 121,601 - 108,397. To solve this equation, we need to follow the standard procedure for subtraction, which involves subtracting the corresponding digits of the two numbers from right to left.
Step 1: Subtracting the Ones
The first step is to subtract the ones (1) from the top number (121,601) from the ones (7) of the bottom number (108,397). However, there are not enough ones in the top number to subtract. This is because the top number has only one ones digit, while the bottom number has seven ones digits. Therefore, we need to regroup the tens digit of the top number to create a ones digit.
Regrouping the Tens Digit
To regroup the tens digit, we need to borrow a tens digit from the hundreds place. This means that we will subtract 10 from the hundreds place and add 10 to the tens place. This will create a ones digit in the tens place, allowing us to perform the subtraction.
Step 2: Subtracting the Tens
After regrouping the tens digit, we can now subtract the tens (0) from the top number (121,601) from the tens (9) of the bottom number (108,397). This will give us a result of 10 - 9 = 1.
Step 3: Subtracting the Hundreds
Next, we need to subtract the hundreds (1) from the top number (121,601) from the hundreds (0) of the bottom number (108,397). This will give us a result of 1 - 0 = 1.
Step 4: Subtracting the Thousands
We continue this process, subtracting the thousands (2) from the top number (121,601) from the thousands (1) of the bottom number (108,397). This will give us a result of 2 - 1 = 1.
Step 5: Subtracting the Ten Thousands
Next, we need to subtract the ten thousands (1) from the top number (121,601) from the ten thousands (0) of the bottom number (108,397). This will give us a result of 1 - 0 = 1.
Step 6: Subtracting the Hundred Thousands
Finally, we need to subtract the hundred thousands (2) from the top number (121,601) from the hundred thousands (1) of the bottom number (108,397). This will give us a result of 2 - 1 = 1.
Conclusion
In conclusion, the correct answer is that there are not enough ones in the top number to subtract. You need to regroup. The other statements provided are not true.
Key Takeaways
- Subtraction involves finding the difference between two numbers.
- To subtract, we need to follow the standard procedure, which involves subtracting the corresponding digits of the two numbers from right to left.
- Regrouping is necessary when there are not enough digits in the top number to subtract.
- The correct answer is that there are not enough ones in the top number to subtract. You need to regroup.
Frequently Asked Questions
Q: What is subtraction in mathematics?
A: Subtraction is a fundamental operation in mathematics that involves finding the difference between two numbers.
Q: How do I perform subtraction?
A: To perform subtraction, you need to follow the standard procedure, which involves subtracting the corresponding digits of the two numbers from right to left.
Q: What is regrouping in subtraction?
A: Regrouping is necessary when there are not enough digits in the top number to subtract. It involves borrowing a digit from a higher place value to create a digit in the lower place value.
Q: Why do I need to regroup in subtraction?
A: You need to regroup in subtraction when there are not enough digits in the top number to subtract. This is necessary to create a digit in the lower place value.
Q: What is the correct answer to the given equation?
A: The correct answer is that there are not enough ones in the top number to subtract. You need to regroup.
Q: What are the key takeaways from this article?
Q: What is subtraction in mathematics?
A: Subtraction is a fundamental operation in mathematics that involves finding the difference between two numbers. It is an essential concept in arithmetic and is used extensively in various mathematical operations.
Q: How do I perform subtraction?
A: To perform subtraction, you need to follow the standard procedure, which involves subtracting the corresponding digits of the two numbers from right to left. This means that you need to start with the ones place and work your way up to the highest place value.
Q: What is regrouping in subtraction?
A: Regrouping is necessary when there are not enough digits in the top number to subtract. It involves borrowing a digit from a higher place value to create a digit in the lower place value. For example, if you are subtracting 7 from 5, you would need to regroup the tens digit to create a ones digit.
Q: Why do I need to regroup in subtraction?
A: You need to regroup in subtraction when there are not enough digits in the top number to subtract. This is necessary to create a digit in the lower place value. Without regrouping, you would not be able to perform the subtraction correctly.
Q: What are the different types of subtraction?
A: There are two main types of subtraction: single-digit subtraction and multi-digit subtraction. Single-digit subtraction involves subtracting a single digit from another single digit, while multi-digit subtraction involves subtracting a multi-digit number from another multi-digit number.
Q: How do I subtract multi-digit numbers?
A: To subtract multi-digit numbers, you need to follow the standard procedure for subtraction, which involves subtracting the corresponding digits of the two numbers from right to left. You may need to regroup digits from higher place values to create digits in lower place values.
Q: What is the difference between subtraction and addition?
A: Subtraction and addition are two fundamental operations in mathematics that involve finding the difference and sum of two numbers, respectively. While addition involves combining two numbers, subtraction involves finding the difference between two numbers.
Q: Why is subtraction important in mathematics?
A: Subtraction is an essential concept in mathematics that is used extensively in various mathematical operations. It is used to find the difference between two numbers, which is a fundamental concept in arithmetic. Subtraction is also used in real-world applications, such as finance, science, and engineering.
Q: How can I practice subtraction?
A: You can practice subtraction by using online resources, such as math games and worksheets, or by working with a tutor or teacher. You can also practice subtraction by using real-world examples, such as calculating the cost of items or finding the difference between two numbers.
Q: What are some common mistakes to avoid when subtracting?
A: Some common mistakes to avoid when subtracting include:
- Not regrouping digits when necessary
- Subtracting the wrong digits
- Not following the standard procedure for subtraction
- Not checking your work for errors
Q: How can I improve my subtraction skills?
A: You can improve your subtraction skills by practicing regularly, using online resources, and working with a tutor or teacher. You can also try using different methods, such as using a calculator or working with a partner.
Q: What are some real-world applications of subtraction?
A: Subtraction is used extensively in real-world applications, such as:
- Finance: calculating the cost of items, finding the difference between two numbers
- Science: measuring the difference between two quantities
- Engineering: designing and building structures, calculating the difference between two measurements
Q: How can I use subtraction in my daily life?
A: You can use subtraction in your daily life by:
- Calculating the cost of items
- Finding the difference between two numbers
- Measuring the difference between two quantities
- Designing and building structures
Conclusion
In conclusion, subtraction is a fundamental operation in mathematics that involves finding the difference between two numbers. It is an essential concept in arithmetic and is used extensively in various mathematical operations. By practicing regularly and using online resources, you can improve your subtraction skills and apply them to real-world situations.