Problem 161

Question

In the following exercises, subtract and then check by adding. $$8-0$$

Step-by-Step Solution

Verified
Answer
8 - 0 = 8, and 8 + 0 = 8.
1Step 1: Subtract the Numbers
To subtract 0 from 8, we use the formula: 8 - 0. Subtraction involves taking away the second number (0) from the first number (8). Doing this, we get: 8 - 0 = 8.
2Step 2: Check by Adding
To verify the result, add the answer to the number subtracted (0) and check if we get the original number (8). So, we have: 8 + 0 = 8. As this result matches the original number, our subtraction is confirmed to be correct.

Key Concepts

Verification by AdditionSubtraction with ZeroBasic Arithmetic Concepts
Verification by Addition
When you subtract two numbers, it's often a good idea to check your work.
We can do this by using addition.
This is called 'verification by addition'.
The idea is simple: if you subtract a number and then add it back, you should get the original number.
Let's take the example from the exercise: if you have 8 and subtract 0 from it, you get 8.
To verify, you add the 0 back to the result, which still gives you 8.
This confirms that your subtraction was correct.
So, after subtracting and verifying by adding, you can be sure of your answer.
Subtraction with Zero
Subtraction with zero can be tricky for some students to understand, but it's straightforward once you get the hang of it.
When you subtract 0 from any number, the result is always the same number.
This is because 0 represents nothing; it doesn't change the value of the number you started with.
For example, in the exercise 8 - 0, you start with 8 and take nothing away from it, leaving you with 8.
Remember this key idea: subtracting zero doesn't change the original number.
This makes it easy to work with, especially in more complex problems.
Basic Arithmetic Concepts
Arithmetic is all about numbers and basic operations like addition, subtraction, multiplication, and division.
Understanding these operations is essential for solving math problems.
Subtraction is one of the fundamental operations where you take one number away from another.
In the exercise, we saw how to subtract 0 from 8.
By grasping simple exercises like this, you build a strong foundation in arithmetic.
Other basic concepts include knowing that subtraction is the opposite of addition.
This is why verification by addition works so well.
Keep practicing these concepts to become confident in your math skills.