Skills Review 51. Subtract. Show Your Work.$234.02 - 87.46 = $
Understanding the Concept of Subtraction
Subtraction is a fundamental operation in mathematics that involves finding the difference between two numbers. It is a crucial skill to master, as it is used in various aspects of life, including finance, science, and everyday problem-solving. In this skills review, we will focus on subtracting a three-digit number from a four-digit number.
The Problem
We are given the following problem: $234.02 - 87.46 = $
Step 1: Write the Problem
To begin, we need to write the problem with the correct numbers and symbols. The problem is: $234.02 - 87.46 = $
Step 2: Line Up the Numbers
When subtracting numbers, it is essential to line up the numbers correctly. We will line up the numbers by placing the decimal point in the correct position.
Step 3: Subtract the Numbers
Now, we will subtract the numbers. We will start by subtracting the numbers in the hundredths place. Since 2 is less than 6, we will need to borrow from the tenths place.
Step 4: Borrow from the Tenths Place
To borrow from the tenths place, we will subtract 1 from the tenths place and add 10 to the hundredths place. This will give us a new number in the hundredths place.
Step 5: Subtract the Numbers Again
Now that we have borrowed from the tenths place, we can subtract the numbers again. We will start by subtracting the numbers in the hundredths place.
Step 6: Subtract the Numbers in the Tenths Place
Next, we will subtract the numbers in the tenths place. We will start by subtracting the numbers in the tenths place.
Step 7: Subtract the Numbers in the Ones Place
Finally, we will subtract the numbers in the ones place.
Step 8: Write the Answer
Now that we have subtracted the numbers, we can write the answer.
The Final Answer
The final answer is: $146.56
Explanation
To subtract the numbers, we need to line up the numbers correctly and then subtract the numbers in each place value. We need to borrow from the tenths place to subtract the numbers in the hundredths place. Finally, we can write the answer.
Tips and Tricks
- When subtracting numbers, it is essential to line up the numbers correctly.
- When borrowing from a place value, we need to subtract 1 from the place value and add 10 to the next place value.
- When subtracting numbers, we need to start with the place value that has the largest difference.
Practice Problems
Conclusion
Subtraction is a fundamental operation in mathematics that involves finding the difference between two numbers. It is a crucial skill to master, as it is used in various aspects of life, including finance, science, and everyday problem-solving. In this skills review, we focused on subtracting a three-digit number from a four-digit number. We learned how to line up the numbers correctly, borrow from a place value, and write the answer. We also provided tips and tricks for subtracting numbers and practice problems for further practice.
Frequently Asked Questions
In this Q&A section, we will address some of the most common questions related to subtracting numbers.
Q: What is the first step in subtracting numbers?
A: The first step in subtracting numbers is to line up the numbers correctly. This means placing the decimal point in the correct position and aligning the numbers in each place value.
Q: What happens when we need to borrow from a place value?
A: When we need to borrow from a place value, we subtract 1 from the place value and add 10 to the next place value. For example, if we need to borrow from the tenths place, we subtract 1 from the tenths place and add 10 to the hundredths place.
Q: How do we handle negative numbers when subtracting?
A: When subtracting negative numbers, we need to change the sign of the second number and then add the numbers. For example, if we need to subtract -3 from 5, we change the sign of -3 to +3 and then add 5 + 3 = 8.
Q: What is the difference between subtracting decimals and whole numbers?
A: The main difference between subtracting decimals and whole numbers is that we need to line up the decimal points correctly when subtracting decimals. When subtracting whole numbers, we can simply subtract the numbers without worrying about the decimal points.
Q: Can we subtract numbers with different place values?
A: Yes, we can subtract numbers with different place values. However, we need to make sure that we line up the numbers correctly and handle any borrowing or regrouping that may be necessary.
Q: How do we check our answer when subtracting numbers?
A: To check our answer when subtracting numbers, we can add the two numbers together and see if the result is correct. For example, if we subtract 3 from 5 and get 2, we can add 2 + 3 = 5 to check our answer.
Q: What are some common mistakes to avoid when subtracting numbers?
A: Some common mistakes to avoid when subtracting numbers include:
- Not lining up the numbers correctly
- Not borrowing or regrouping when necessary
- Changing the sign of the second number when subtracting negative numbers
- Not checking our answer
Additional Resources
- For more practice problems and examples, visit our website at [insert website URL].
- For additional resources and support, contact your teacher or tutor.
Conclusion
Subtracting numbers is a fundamental operation in mathematics that involves finding the difference between two numbers. In this Q&A section, we addressed some of the most common questions related to subtracting numbers. We hope that this information has been helpful and that you have a better understanding of how to subtract numbers. If you have any further questions or need additional support, please don't hesitate to ask.