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.
Video : Only 1% of people pass this logic test
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!
In 1965, Paul Harvey’s warning was broadcast: Today, it’s sadly come true
Paul Harvey, the news commentator and talk-radio pioneer whose staccato style made him one of the United States’ most familiar voices, reached more than 24 million listeners at the peak of his career.
Although he was very accurate on everything he had to say, no one could imagine that his famous words from 54 years ago would become the reality of today.
I read this today and thought how relevant it is.
The speech was broadcast by legendary ABC Radio commentator Paul Harvey on April 3, 1965.
He starts his ‘prophesy’ by saying: If I were the Devil… and then continues discussing issues that are these days ours to face.
EVERYBODY should listen to this. Sad to say but Paul Harvey was spot on 54 years ago.
”If I Were the Devil If I were the Prince of Darkness I would want to engulf the whole earth in darkness.
I’d have a third of its real estate and four-fifths of its population, but I would not be happy until I had seized the ripest apple on the tree.
So I should set about however necessary, to take over the United States.
I would begin with a campaign of whispers.
With the wisdom of a serpent, I would whispers to you as I whispered to Eve, “Do as you please.”
To the young I would whisper “The Bible is a myth.” I would convince them that “man created God,” instead of the other way around. I would confide that “what is bad is good and what is good is square.”
In the ears of the young married I would whisper that work is debasing, that cocktail parties are good for you. I would caution them not to be “extreme” in religion, in patriotism, in moral conduct.
And the old I would teach to pray — to say after me — “Our father which are in Washington.”
Then I’d get organized.
I’d educate authors in how to make lurid literature exciting so that anything else would appear dull, uninteresting.
I’d threaten TV with dirtier movies, and vice-versa.
I’d infiltrate unions and urge more loafing, less work. Idle hands usually work for me.
I’d peddle narcotics to whom I could, I’d sell alcohol to ladies and gentlemen of distinction, I’d tranquilize the rest with pills.
If I were the Devil, I would encourage schools to refine young intellects, but neglect to discipline emotions; let those run wild.
I’d designate an atheist to front for me before the highest courts and I’d get preachers to say, “She’s right.”
With flattery and promises of power I would get the courts to vote against God and in favor of pornography.
Thus I would evict God from the courthouse, then from the schoolhouse, then from the Houses of Congress.
Then in his own churches I’d substitute psychology for religion and deify science.
If I were Satan I’d make the symbol of Easter an egg
And the symbol of Christmas a bottle.
If I were the Devil I’d take from those who have and give to those who wanted until I had killed the incentive of the ambitious. Then my police state would force everybody back to work.
Then I would separate families, putting children in uniform, women in coal mines and objectors in slave-labor camps.
If I were Satan I’d just keep doing what I’m doing and the whole world go to hell as sure as the Devil”
I use to listen to Paul Harvey with my mom in the 70s. He is very accurate on everything he says. All the things he mentioned 54 years ago are exactly what’s going on NOW!
Incredible man, Incredible insight. Share this if you agree.
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