Math puzzles on the internet often trick us because we tend to read quickly.
At first glance, a problem might look so easy that we solve it instantly in our heads.
However, many people get the wrong answer simply by ignoring the standard rules of mathematics.
Let us look closely at the math problem shown in the image: 2 x 2 + 2 x 4 = ?
The Common Mistake
Many people read this equation from left to right, just like reading a normal sentence.
First, they calculate 2 x 2, which gives 4.
Next, they take that 4 and add 2 to it, getting 6.
Then, they multiply 6 by 2, which equals 12.
Finally, they multiply 12 by 4, reaching a total of 48.
Other people might calculate 2 x 2 + 2 first to get 6, and then multiply by 4 to get 24.
Some even calculate (2 x 2) + (2) = 6, and then add or multiply differently to arrive at 16.
This is exactly why the text in the image warns us: “Answer is NOT 16.”
Understanding the Rule: Order of Operations
To solve this correctly, we must follow a fundamental math rule called the Order of Operations.
In mathematics, this rule is often remembered by acronyms like PEMDAS or BODMAS.
This rule dictates the specific sequence you must follow when solving an expression with multiple operations:
Parentheses / Brackets: Solve anything inside brackets first.
Exponents / Orders: Calculate powers or square roots.
Multiplication and Division: Perform these operations from left to right.
Addition and Subtraction: Perform these operations last, from left to right.
Step-by-Step Logical Solution
Now, let us apply this rule to our equation: 2 x 2 + 2 x 4
Notice that there are no parentheses or exponents in this problem.
According to the Order of Operations, multiplication must always be done before addition.
Step 1: Identify and solve all multiplication parts first.
We have two separate multiplication parts in this equation.
The first multiplication part is 2 x 2, which equals 4.
The second multiplication part is 2 x 4, which equals 8.
Step 2: Replace the multiplication parts with their results.
Now, rewrite the original equation using the numbers we just calculated.
The equation transforms into: 4 + 8
Step 3: Perform the final addition.
Finally, add the two remaining numbers together: 4 + 8 = 12.
Conclusion
By following the strict rules of mathematics, we avoid the trap of calculating from left to right.
The correct and logical answer to the puzzle 2 x 2 + 2 x 4 is 12.
