Have you ever come across a math problem that seems easy at first glance, only to realize that most people get it wrong? The equation 9 – 9 ÷ 9 + 9 – 9 ÷ 9 = ? is one such puzzle that confuses many. It looks simple, but if you’re not careful, you might end up with the wrong answer.
Are you ready to put your math skills to the test? Take a moment to solve it before reading ahead. Think you got it right? Let’s find out!
Why Do So Many People Get This Wrong?
At first glance, this equation appears straightforward. However, small details in mathematical rules trip people up. Here are some common mistakes that lead to the wrong answer:
- Ignoring the Order of Operations (PEMDAS/BODMAS) – Many people solve the problem from left to right without following the correct order of operations.
- Misplacing Parentheses (Even When They Aren’t Written) – Some assume parentheses where there are none, changing how they approach division and subtraction.
- Rushing Through the Calculation – The problem is designed to look easy, so people tend to solve it quickly and overlook critical steps.
So, what’s the correct approach? Let’s break it down step by step.
Step-by-Step Solution
To solve this equation correctly, we must follow the order of operations. The most commonly used rule is PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
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The given equation:
9 – 9 ÷ 9 + 9 – 9 ÷ 9
Step 1: Solve the Division First
According to PEMDAS, division comes before subtraction and addition. So, let’s divide first:
- 9÷9=19 ÷ 9 = 19÷9=1
- 9÷9=19 ÷ 9 = 19÷9=1
Now, substitute these values back into the equation:
9 – 1 + 9 – 1
Step 2: Perform Addition and Subtraction from Left to Right
Now, we calculate in order from left to right:
- 9 – 1 = 8
- 8 + 9 = 17
- 17 – 1 = 16
So, the correct answer is: 16
Common Incorrect Answers and Why They Happen
Many people arrive at incorrect answers because they don’t follow the correct order of operations. Here are some of the most common mistakes:
- Answer: 0 – This happens when someone groups all the numbers together without following PEMDAS, incorrectly simplifying the problem as:
9−9−9+9−9=09 – 9 – 9 + 9 – 9 = 09−9−9+9−9=0 - Answer: 1 – Some mistakenly subtract 9 from itself first before dividing, leading to:
(9−9)÷9+9−9÷9=1(9 – 9) ÷ 9 + 9 – 9 ÷ 9 = 1(9−9)÷9+9−9÷9=1
These errors reinforce the importance of following the correct mathematical rules step by step.
Why Understanding Order of Operations Matters
You might wonder—why does it even matter? Well, mathematics is built on logical rules, and following them correctly ensures we get consistent, accurate answers. The order of operations is used in everything from programming to engineering to everyday calculations.
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Think about it this way: If a recipe tells you to bake a cake at 350°F for 30 minutes before adding frosting, you wouldn’t reverse the steps, right? Math works the same way—sequence matters!
Put Your Skills to the Test
Did you get the correct answer? Share your response in the comments! Were you surprised by how easy it was to make a mistake?
If you enjoy solving puzzles like this, challenge your friends and see if they can get it right! Math riddles help improve problem-solving skills and boost logical thinking.
Want more brain teasers like this? Keep testing yourself with tricky puzzles and improve your critical thinking skills! Who knows? The next time you see a math problem like this, you might be among the 10% who get it right on the first try!
A Little Boy Who Sounds Like Johnny Cash Is Met With Standing Ovations by the Audience…
Through his endearing interpretation of Folsom Prison Blues, a little boy who goes by the name “Little John” is responsible for ensuring that Johnny Cash’s music continues to be played. The fact that his voice is remarkably close to that of the great performer was shown by his rendition of the song in the year 2008.
A great number of individuals claim that they possess a voice that is reminiscent of a certain star; but, for a little child who goes by the name Little John, this is in fact the case. The crowd was struck dumbfounded by Little John’s incredible singing abilities during one of his performances.
Little John is now in the second grade. Due to the fact that the little child displays an endearing quality, the audience was already captivated by him before he even started singing the song themselves.
The sight of him playing the guitar, which seemed to be too large for his little hands, and his lovely little button-down blue shirt made him an adorable sight. Despite the fact that he had selected a challenging song to play, he was certain that he would be able to do it with elegance and talent. Despite the fact that Little John was going to put on an incredible display, nobody was prepared for it.
Before commencing to sing, he introduced himself as well as the songs that he was going to cover in the next performance. When the little kid declared that he was going to perform some Johnny Cash songs, everyone was taken aback. However, as he began singing, it became abundantly evident that these songs were destined to be sung by the voice of this young child.
During his singing, the little child seemed to be singing in a manner that was both natural and elegant, and the crowd was awestruck by his musical prowess. His voice could be heard emanating from every corner of the room, and it was obvious that he had been training for years, despite the fact that his skill level was far higher than his age.
His voice had an uncanny similarity to that of Johnny Cash himself, and his tone was kind and reassuring. But just when the audience was beginning to assume that that was all he had to give, Little John pulled out an even more impressive trick that he had been keeping up his sleeve. Halfway through one of his songs, he made the decision to vary things up a little and make the crowd go even crazy for his incredible ability.
Despite the fact that many were amazed that someone of such a young age could have such a presence on stage and such a remarkable singing skill, Little John was there.
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