When solving mathematical expressions, you must follow the PEMDAS rule (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction), where multiplication and division have equal priority and must be performed left-to-right, not in any other order; this prevents common errors like performing multiplication before division or division before subtraction, which leads to incorrect results.
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Looks Super Easy... But It Tricks Everyone! 😵💫 Can YOU Solve It? 🔥Added:
What is the value of the expression 7 s squared minus open parentheses 30 divided by three multiplied by five close parentheses then divided by two s squared?
Which option do you think is the correct answer to this question?
This equation seems very simple, but it tricks almost everyone.
Let's dive in and break it down a step-by-step together.
At the beginning, many people go straight to the expression inside the parentheses because they believe parentheses have a higher priority than the other operations.
And they immediately perform the multiplication between three and five because they think multiplication has a higher priority than division.
So, they simplify this equation and write it as 7 s squared minus 30 divided by 15 inside the parentheses then divided by two s squared.
In the next step, they move on to the division between 30 and 15 and replace this equation with 7 s squared minus two divided by two s squared.
Then, they go to the exponents and simplify this equation to 49 minus two divided by four.
In the final step, they go to the division between two and four because they believe division has a higher priority than subtraction.
So, they rewrite this equation as 49 minus 0.5 which finally gives them the answer 48.5.
Then, without any hesitation, they quickly say that option C 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 straight to the expression 7 s squared and simplify to 49 minus 30 divided by three times five inside the parentheses then divided by two s squared.
And the next step, they focus on the expression inside the parentheses and the solve the division between 30 and three.
So, they simplify this equation to 49 minus 10 times five inside the parentheses then divided by two s squared.
Then, they perform the multiplication between 10 and five inside the parentheses and write this equation as 49 minus 50 divided by two s squared.
Next, they perform the subtraction between 49 and 50 and simplify this equation to negative one divided by two s squared.
In the final step, they handle the exponent and write this equation as negative one divided by four which ultimately gives them the answer negative 0.25.
And immediately, they conclude that option A is the correct answer to this question.
However, that's definitely wrong.
All right. Now, let me explain the step-by-step how to solve this equation properly.
To solve this question, we must follow the rule that is called PEMDAS. And this rule, P stands for parentheses, E stands for exponent, M stands for multiplication, D stands for division, A stands for addition, and S stands for subtraction.
It means that we need to perform all of the operations step-by-step in order from top to bottom.
Okay. As you can see in the image, in this equation, first we have an exponent then a subtraction sign followed by parentheses then a division sign and finally another exponent. According to the PEMDAS rule, first we should have stopped at the parentheses because parentheses have the highest priority over all other operations.
And inside the parentheses, first we have a division sign and then a multiplication sign.
It's very important to note that multiplication and division have exactly the same level of priority.
In this situation, we must start from the left and move toward the right performing these two operations in order.
So, first we do the division between 30 and 3 and this equation simplifies to 7 s squared minus 10 * 5 inside the parentheses then divided by 2 s squared.
In the next step, we handle the multiplication between 10 and 5 and this equation simplifies to 7 s squared minus 50 divided by 2 s squared.
Next, it's time to handle the exponents because according to the PEMDAS rule, after parentheses, exponent has a higher priority than the other operation.
So, [snorts] we can rewrite this equation as 49 minus 50 divided by 4.
In the final step, we perform the division between 50 and 4 because division has a higher priority than subtraction.
So, this equation simplifies to 49 minus 12.5 which finally gives us the answer 36.5.
That's correct. Option B is the correct answer to this question.
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