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!
What this old man observed on the pavement shocked him.
Pedro Bras shared the firefighters’ photo from Pedróg Grande, Portugal, on Facebook so that others might see it.
Everyone agrees that working as a fireman is a serious and important profession. The photo posted by fireman Pedro Bras made it very clear how seriously the firemen take their duties.
There is a tremendous need for firefighters in the region of Portugal that is battling a forest fire. 1,150 firemen are presently working around the clock to put out the fire and prevent it from spreading.
25 people have been hurt this year as a result of the fire, along with the damage of many regions. Two disastrous fires that struck Portugal in June and October of the previous year resulted in a total of 114 fatalities. This image depicted firemen who, although being worn out from their valiant efforts, continued to work in dangerous conditions. Pedro sent a photo of some of the firemen wanting to take a break and relax after spending many hours putting out a large fire in Pedróg Grande. “After working hard all day and all night, we decided to take a break and relax by the river for a quarter of an hour; at that time, we noticed that the air was thick with smoke.” According to Pedro, the firemen took a short break of 25 minutes to unwind by a river after working nonstop for 24 hours. He said that the firefighters had taken a break at this point. The shot vividly showed the smoke-filled environment. The temperature rose to an all-time high of around 116 degrees Fahrenheit on August 5. In addition to the 13 planes that dropped water on the fire, a number of additional firemen also consented to help fight the wildfire. AWM claims that 160 soldiers were called into action in order to help with the evacuation efforts.
The photograph gained over 9,000 user responses, 1,300 comments, and more than 5,900 shares before rapidly going viral. A large number of people voiced their surprise at the firemen’ efforts. Manja Knofel claimed that each and every fireman in the world is a hero in their own way. Another user from Paris named Sweetie Racch said they deserved “rest and praise” for the outstanding work they had completed. The firemen have done everything they can, according to Portuguese Prime Minister Antonio Costa. A number of them have had fatal injuries. The police had been hoping that the event from the previous year wouldn’t happen again this year. Share this to your friends that FIREFIGHTERS are Awesome.!
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