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!
Earth is getting another moon at the end of this month
When the new moon begins its orbit, life as we know it is going to alter, if not permanently.
At the end of this month, another moon will momentarily arrive on Earth.
Indeed, it may seem completely absurd to write or even mention that our planet will momentarily have a new moon, but it is true.
By the end of this month, a mini-moon—a tiny asteroid—will begin its orbit around the Earth and continue until November 25.
For the next week, the asteroid known as “2024 PT5” will join our moon, which has been orbiting Earth for the past four billion years, on its trip.
“The object that is going to pay us a visit belongs to the Arjuna asteroid belt, a secondary asteroid belt made of space rocks that follow orbits very similar to that of Earth at an average distance to the sun of about 93 million miles [150 million kilometers],” Professor Carlos de la Fuente Marcos said in a statement to Space about it.The population of near-Earth objects that includes comets and asteroids includes those found in the Arjuna asteroid belt.”
Leading the study team is Marcos, who is supported by a group of scientists.
The Arjuna asteroid belt is a varied tangle of space rocks, and because of its near-Earth orbit, it is predicted to round the planet once more in January.
The tiny asteroid will move at 2,200 mph and be only 2.8 million miles from Earth, which may sound like a very long way, but in space it is actually much closer than you might imagine.
The International Space Station orbits the earth at 17,500 miles per hour to put it into perspective.
“Under these circumstances, the object’s geocentric energy may grow negative, and the object may become a temporary moon of Earth,” he said. This particular object will be subjected to this process for around two months, beginning next Monday.
Saying: “It will not follow a full orbit around Earth.”You could argue that items like 2024 PT5 are window shoppers if a genuine satellite is comparable to a consumer making a purchase inside a store.”
So how do we identify it?
Sadly, you can’t, at least not with common household objects like binoculars or a telescope your mother got you.
No, because of its size, 2024 PT5 is far more difficult to see.
Marcos went on, “Most amateur telescopes and binoculars cannot resolve the object because it is too small and dim.” But the object is well inside the brightness range of the average telescope that is used by astronomers in their profession.”A 30-inch telescope with a human eye behind it will not be sufficient to examine this object; a telescope with a minimum diameter of 30 inches and a CCD or CMOS detector are required.”
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