Problem 163
Question
In the following exercises, subtract and then check by adding. $$38-16$$
Step-by-Step Solution
Verified Answer
22
1Step 1: Subtract the numbers
To subtract the numbers, line up the digits by their place values. Subtract 16 from 38: 38 - 16 = 22.
2Step 2: Check the subtraction by adding
To check the result, add the difference (22) to the smaller number (16). If the result equals the original larger number (38), the subtraction is correct: 16 + 22 = 38.
Key Concepts
Checking Subtraction with AdditionPlace Value AlignmentBasic Arithmetic Operations
Checking Subtraction with Addition
When you perform a subtraction, it's important to verify your result. A great way to do this is by using addition.
After subtracting two numbers, take the result and add it to the smaller number you initially subtracted.
If your subtraction was correct, the sum should equal the original larger number.
For example, subtracting 16 from 38 gives us 22. To check this, add 22 to 16. If the result equals 38, then the subtraction is correct. This method helps prevent mistakes and ensures accuracy in your calculations.
After subtracting two numbers, take the result and add it to the smaller number you initially subtracted.
If your subtraction was correct, the sum should equal the original larger number.
For example, subtracting 16 from 38 gives us 22. To check this, add 22 to 16. If the result equals 38, then the subtraction is correct. This method helps prevent mistakes and ensures accuracy in your calculations.
Place Value Alignment
When subtracting or adding numbers, aligning the digits by their place values is crucial. Place value alignment means ensuring that the units (ones), tens, hundreds, and so forth, line up correctly under each other.
Misalignment can lead to incorrect results. For example, when subtracting 16 from 38, write the numbers in such a way that the digits in the tens place (3 and 1) and the digits in the ones place (8 and 6) align.
This setup ensures you subtract digits in the correct order and maintain mathematical accuracy.
Misalignment can lead to incorrect results. For example, when subtracting 16 from 38, write the numbers in such a way that the digits in the tens place (3 and 1) and the digits in the ones place (8 and 6) align.
This setup ensures you subtract digits in the correct order and maintain mathematical accuracy.
Basic Arithmetic Operations
Basic arithmetic operations include addition, subtraction, multiplication, and division. These operations are the building blocks of all math-related tasks.
Subtraction involves taking one number away from another. It's the opposite of addition. To subtract correctly:
Regular practice and checking your work, like with addition, strengthens your arithmetic skills.
Subtraction involves taking one number away from another. It's the opposite of addition. To subtract correctly:
- Align the numbers by their place values.
- Subtract from right to left, starting with the units place.
- If a digit in the top number is smaller than the corresponding digit in the bottom number, you may need to borrow from the next left digit.
Regular practice and checking your work, like with addition, strengthens your arithmetic skills.
Other exercises in this chapter
Problem 161
In the following exercises, subtract and then check by adding. $$8-0$$
View solution Problem 162
In the following exercises, subtract and then check by adding. $$2-0$$
View solution Problem 164
In the following exercises, subtract and then check by adding. $$45-21$$
View solution Problem 165
In the following exercises, subtract and then check by adding. $$85-52$$
View solution