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!
MY 76-YEAR-OLD HUSBAND GAVE ME A PUPPY FOR CHRISTMAS – EVEN THOUGH OUR KIDS WERE AGAINST IT!
The ornate Christmas tree shimmered with lights, and the air was thick with the scent of pine needles and gingerbread. But the festive cheer in our household was quickly overshadowed by a furry, four-legged surprise. My husband, bless his heart, had decided to gift me a puppy for Christmas.
Now, I love dogs. Absolutely adore them. But at 76, with our children long grown and flown, and our lives settled into a comfortable routine of leisurely walks and quiet evenings, a puppy felt like a bomb had been dropped on our peaceful existence.
“Surprise!” my husband announced, beaming as he led a wriggling, yipping creature into the living room. It was a golden retriever puppy, the cutest, most adorable creature I had ever seen. But the initial delight quickly gave way to a wave of apprehension.
Our children, who had visited earlier that day, were less than thrilled. “Dad, really?” my daughter exclaimed, her voice laced with disbelief. “A puppy? At your age?” My son, ever the pragmatist, chimed in, “Who’s going to walk it every day? Who’s going to clean up after it? Who’s going to deal with the barking and the chewing?”
My husband, oblivious to the brewing storm, was already enthralled. He was naming the puppy “Champ” and making grand plans for long walks in the park. I, meanwhile, was trying to figure out how to break the news to the dog walker we’d used for our previous dog, who had sadly passed away a few years ago.
The next few days were a whirlwind. The puppy, true to breed, was a whirlwind of energy. He chewed on shoes, barked incessantly, and peed on the rug (multiple times). My husband, bless his heart, was in his element. He spent hours playing fetch in the backyard, his face beaming with joy.
But the reality of the situation quickly set in. The sleepless nights, the constant cleaning, the endless walks in the rain – it was taking a toll. My husband, despite his initial enthusiasm, was starting to look weary. His back ached, and his energy levels were dwindling.
One evening, as I watched him struggle to lift the exuberant puppy onto the couch, I realized something had to change. I sat him down and had a serious conversation. I explained how much I appreciated his thoughtfulness, but that perhaps a puppy wasn’t the best fit for us at this stage in our lives.
He looked at me, a flicker of disappointment in his eyes. But then he smiled. “You’re right,” he conceded. “Maybe a puppy is a bit much right now.”
We decided to find a loving home for Champ. It was a difficult decision, but we knew it was the right one. We found a wonderful young couple who were eager to give Champ the attention and energy he deserved.
While we missed the playful puppy, we also enjoyed the return of our peaceful evenings. And my husband, to my surprise, seemed to enjoy the extra time to pursue his hobbies – gardening and reading – without the constant demands of a rambunctious puppy.
In the end, the Christmas puppy incident taught us a valuable lesson: sometimes, the best gifts are the ones that truly fit into our lives. And sometimes, the most loving thing to do is to let go.
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