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!
The dog keeps coming to a woman’s house and just slept and one day this note was attached to his collar
When a woman came home one day, she found a retriever. The dog was well cared for, not hungry and had a collar, obviously had an owner. When the woman entered the house, the dog followed her, simply lay down on the carpet by the door and fell fast asleep. And when he woke up, he left quietly the next day, the woman was waiting for the same picture, and after he fell asleep again, the dog kept coming to a woman’s house as soon as he slept, and one day this note was stuck on his collar And it went on like that for several weeks.
If you know the reason behind this strange behavior of the dog, you will be surprised “He started visiting my house. When you looked at him, it was clear he had a family because he was well groomed and well fed “I petted him and he followed me home, laid down on the carpet and fell fast asleep. And after he slept, he went to the door and I let him out. ” The dog kept coming to a woman’s house and just sleeping and one day this note was stuck on his collar “The next day he came back, greeted me, came into the house and fell asleep on the carpet again.
This lasted several weeks. ” “I was interested in this situation and decided to find out why this was happening and who the owners of this dog were. I decided to write a note and pin it to the collar. This is what I wrote: “I would like to know who owns this beautiful dog and ask if you know that your dog comes to my house every day, sleeps for several hours and leaves again?”
How to cut a dog’s head? The dog kept coming to a woman’s house and just sleeping and one day this note was stuck on his collar “The next day the dog came back and on his collar was a note with the answer: “Look, she lives in a house with 6 kids. The youngest are not even three years old. He just wants to sleep. And if you don’t mind, can I come with him tomorrow? “
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