Math puzzles are a great way to test your logic and attention to detail. The image above presents a seemingly simple equation that has tripped up many people online. It reads: 11 – 11 x 11 + 11 = ? At first glance, you might be tempted to solve it from left to right. However, that would lead to the wrong answer. The key to solving this puzzle lies in remembering a fundamental rule of mathematics.
The Order of Operations
To solve any math equation correctly, you must follow the order of operations. This is often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. This rule tells us that multiplication and division must be done before addition and subtraction, regardless of the order they appear in the equation.
Solving the Equation Step by Step
Let us apply the order of operations to the equation: 11 – 11 x 11 + 11.
First, we handle the multiplication. 11 multiplied by 11 equals 121.
Now the equation becomes: 11 – 121 + 11.
Next, we perform the addition and subtraction from left to right. First, 11 minus 121 equals -110.
Then, -110 plus 11 equals -99.
So, the correct answer is -99.
Why Do People Get It Wrong?
Many people mistakenly solve the equation from left to right, which would give a different answer. If you did 11 minus 11 first, you would get 0. Then 0 times 11 is 0. Then 0 plus 11 is 11. This is incorrect because it ignores the order of operations. This puzzle is a good reminder of why we need to follow mathematical rules.
The Fun of Math Puzzles
Puzzles like this are popular because they are simple, challenging, and often spark debate. They show us that math is not just about numbers, but also about following rules and thinking carefully. Whether you got the answer right or wrong, the important thing is that you exercised your brain.
So, did you get -99? If so, congratulations! You have a good grasp of the order of operations. If not, now you know the trick for next time.
The answer might surprise you, but the rule is always the same.
