what is 2 +2-2 ?
AI-Verified Answer
Understanding the Problem
We are given a basic arithmetic expression to evaluate:
Solution Approach
To solve this, we will use the standard rules for the Order of Operations, commonly remembered by the acronyms BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction) or PEMDAS.
- According to these rules, addition and subtraction have the exact same level of priority.
- When an expression contains only addition and subtraction, we solve it by working from left to right.
Step-by-Step Solution
Step 1: Perform the Addition
Starting from the left side of the expression, we first add the first two numbers together:
\[ 2 + 2 = 4 \]Now, substitute this result back into our original expression, which gives us:
\[ 4 - 2 \]Step 2: Perform the Subtraction
Next, we take the result from Step 1 and subtract the remaining number:
\[ 4 - 2 = 2 \]Alternative Method (Using Additive Inverses)
As a Class 8 student, you also know about integers and their properties. When you add a number and then subtract the exact same number, they cancel each other out. This relies on the property of additive inverses.
Applying this algebraic concept to our expression:
In the expression \( 2 + 2 - 2 \), the \( + 2 \) and the \( - 2 \) act as opposites and cancel each other out (since \( 2 - 2 = 0 \)). This leaves us instantly with just the first \( 2 \).
Final Answer
Therefore, the final value of the expression is:
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