Problem 509 - Prealgebra

Question

Subtract and then check by adding. $$8-5$$

Step-by-Step Solution

Answer

8 - 5 = 3

Step 1: Subtract the Numbers

To find the difference between 8 and 5, subtract 5 from 8: \(8 - 5 = 3\)

Step 2: Check by Adding

To verify the subtraction, add the difference (3) to the smaller number (5): \(5 + 3 = 8\)The result is the original number, confirming the subtraction.

Key Concepts

subtracting numbers

Subtraction is one of the four basic arithmetic operations that helps us find the difference between numbers. In our example, we need to subtract 5 from 8.
To do this, we take away 5 units from 8 units. Think of it like having 8 apples and giving away 5 of them, leaving you with 3 apples.
This is written mathematically as:
\(8 - 5 = 3\).
So, the difference is 3.

addition for verification

To ensure our subtraction was done correctly, we can use addition to check our work. This is a great way to confirm our answer.
In our example, we got a difference of 3 when we subtracted 5 from 8. To verify, we add this difference (3) to the smaller number (5).
This is written as:
\(5 + 3 = 8\)
If the sum is the original bigger number (which is 8 in this case), then we know our subtraction is correct.
Verifying with addition helps catch mistakes and reinforces the relationship between addition and subtraction.

elementary math operations

Understanding subtraction and addition is fundamental in elementary math. These operations are the building blocks for more complex math tasks.
Here are some key points to remember:

• Subtraction is finding the difference between two numbers.
• Addition is combining two numbers to find the total.

By mastering these basic operations, students build a strong foundation for future math learning.
Remember, practice makes perfect. Solve different problems and always check your work to become proficient in elementary math operations.