The correct way to solve mathematical expressions is to follow the PEMDAS rule (Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right), where multiplication and division have equal precedence and must be processed in order from left to right, not based on their position in the expression.
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99% of People GIVE UP HERE! Can YOU Find The Correct Answer? 🤔🔥Added:
What is the value of the expression 5 ^ 2 - 55 / 5 * 2? Which option do you think is the correct answer to this question?
At first glance, this expression seems very simple, but unfortunately, many people get tricked.
Let's dive in and break it down step by step together.
To solve this question, many people will start by calculating 5 ^ 2 first. And instead of the original expression, they will write it as 25 - 55 / 5 * 2.
And in the next step, they usually perform the subtraction between 25 and 55, and simplify this equation to -30 / 5 * 2.
Then, they proceed by doing the division between -30 and 5, which gives them -6 * 2.
And finally, they multiply -6 by 2, which ends up with the answer -12.
Then, without any hesitation, they quickly say that option A is the correct answer to this question.
But, I have to say, we were tricked, and it's not the correct answer to this question.
Also, some other people when solving this question, first go for the expression 5 ^ 2, and they simplify it to 25 - 55 / 5 * 2.
And in the next step, they usually go for the multiplication between 5 and 2, because they think multiplication has priority over division.
So, they rewrite this equation as 25 - 55 / 10.
Next, they perform the division between 55 and 10, since they believe division has priority over subtraction.
And they rewrite this equation as 25 - 5.5, which ultimately gives them the answer 19.5.
And immediately they quickly say that option D is the correct answer to this question.
However, this answer is absolutely wrong.
All right. Now, let me show you how to solve this expression properly.
To solve this question, we must follow the PEMDAS rule.
We should perform these operations exactly in order from top to bottom step by step.
Okay. As you can see in the image, in this expression, first we have an exponent, then a subtraction sign, followed by a division, and finally a multiplication.
We should start with the exponent because in this expression, exponent has a higher priority than the other operation.
So, this equation simplify to 25 - 55 / 5 * 2.
In the next step, we need to handle the division and multiplication since multiplication and division have higher priority than subtraction.
However, it's really important to understand that multiplication and division have equal precedence.
In this situation, the best thing to do is to start from the left of the expression and move toward the right performing division and multiplication in order.
So, first we perform the division between 55 and 5 and this equation simplify to 25 - 11 * 2.
In the final step, we do the multiplication between 11 and 2 which gives us 25 - 22. And finally, the value of this equation is equal to 3.
That's great. Option C is the correct answer to this question.
All right. Now, let's solve another tricky math question together.
What is the value of expression 66 / 6 multiplied by open parentheses 4 + 7 close parentheses?
Which option do you think is the correct answer to this question?
Let's take a closer look and solve it together.
In the first step, most people assume by solving the expression inside the parentheses and replacing it 66 / 6 multiplied by 11.
In the next step, they go for the multiplication between 6 and 11 because they think multiplication has priority over division.
So, this equation simplifies to 66 / 66, which finally gives them the answer one.
And immediately, they quickly say that option A is the correct answer to this question.
However, that's definitely wrong.
As you can see on the screen, in this expression, first we have a division sign, followed by a multiplication sign, and finally parentheses.
To solve this question, we need to use the PEMDAS rule. PEMDAS shows us the priority of the order of operations.
So, we are starting with the parentheses first because it has the highest priority than the other operations.
Okay, this expression simplifies to 66 / 6 multiplied by 11.
Now, it's time to simplify this expression. It's very important to note that in the PEMDAS rule, multiplication and division have exactly the same level of priority.
In this case, all we need to do is to start from the left side of the expression and move a step by step toward the right.
So, first we perform the division between 66 and 6. We simplify this expression to 11 multiplied by 11. And finally, the value of this expression will be 121.
Therefore, option D is the correct answer to this question.
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