When solving mathematical expressions, always 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 evaluated in the order they appear from left to right, not by assuming multiplication has priority over division.
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Almost Everyone Fails This Tricky Math Question! Will YOU Get It Right? 🧠🔥Added:
What is the value of the expression 3 s squared plus 60 divided by 3 multiplied by 5?
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 go step-by-step and solve it together.
To solve this question, many people assume by calculating 3 s squared first, and instead of the original expression, they rewrite it as 9 + 60 divided by 3 multiplied by 5.
In the next step, they usually perform the addition between 9 and 60 and simplify this equation to 69 divided by 3 multiplied by 5.
Then, they proceed by doing the division between 69 and 3, which gives them 23 multiplied by 5.
And finally, they multiply 23 by 5, which ends up with the answer 115.
Then, without any hesitation, they quickly say that option D is the correct answer to this question.
However, this answer is absolutely wrong.
Also, some other people when solving this question first go for the expression 3 s squared, and they simplify it to 9 + 60 divided by 3 multiplied by 5.
In the next step, they usually go for the multiplication between 3 and 5 because they think multiplication has priority over division.
So, they rewrite this equation as 9 + 60 divided by 15.
Next, they perform the division between 60 and 15 since they believe division has priority over addition.
And they rewrite this equation as 9 + 4, which ultimately gives them the answer 13.
And immediately, they conclude that option B is the correct answer to this question.
However, it's not the correct answer to this question.
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 an addition sign, followed by a division, and finally a multiplication.
We should have started with the exponent, because in this expression, exponent has a higher priority than the other operation.
So, this expression simplifies to 9 + 60 / 3 * 5.
In the next step, we need to handle the division and multiplication, since multiplication and division have higher priority than addition.
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 side of the expression and move toward the right, performing division and multiplication in order.
So, first we perform the division between 60 and three, and this expression simplifies to 9 + 20 * 5.
In the final step, we do the multiplication between 20 and five, which gives us 9 + 100.
And finally, the value of this expression is equal to 109.
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 56 / 4 multiplied by open parenthesis 7 + 7 closed parenthesis?
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 start by solving the expression inside the parenthesis and replace it with 56 / 4 multiplied by 14.
In the next step, they go for the multiplication between 4 and 14 because they think multiplication has priority over division.
So, [snorts] this equation simplifies to 56 / 56, which finally gives them the answer 1.
And immediately, they conclude 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 parenthesis.
To solve this question, we need to use the PEMDAS rule.
PEMDAS shows us the priority of the order of operation.
So, we start with the parenthesis first because it has the highest priority than the other operation.
Okay, this equation simplifies to 56 / 4 multiplied by 14.
Now, it's time to simplify this equation.
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 of the expression and move a step by step toward the right.
So, first we perform the division between 56 and 4, which simplifies this equation to 14 multiplied by 14.
And finally, the value of this equation will be 196.
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