Looks Super Easy... But It Tricks Many People! Will YOU?

Added: 2026-05-23

[00:00:00]If we have the expression 4x² + 30 / 2 * 5, then what is the correct answer of this question?

[00:00:10]Many people when solving this question first go for the exponent and instead of this expression they write 16 + 30 / 2 * 5.

[00:00:23]And the next step, they go for the addition between 16 and 30 and write this equation as 46 / 2 * 5.

[00:00:35]And the final step, they go for the division between 46 and 2 and write this equation as 23 * 5, which finally gives them the answer 115.

[00:00:48]However, this answer is absolutely wrong.

[00:00:53]Also, some other people when solving this question again go straight to the exponent and instead of this expression they write 16 + 30 / 2 * 5.

[00:01:07]And the next step, they go for the multiplication between 2 and 5 because they believe multiplication has a higher priority than division. So, they write this equation as 16 + 30 / 10.

[00:01:25]And the final step, they go for the division between 30 and 10 because they think division has priority over addition.

[00:01:34]So, instead of this expression they write 16 + 3, which finally gives them the answer 19.

[00:01:42]However, this answer is actually incorrect. All right, now let me show you how to solve this expression properly.

[00:01:51]To solve this question, we must follow a rule that is called PEMDAS and in 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.

[00:02:10]As you can see on the screen, in this expression, first we have an exponent, then an addition sign, followed by a division, and finally a multiplication.

[00:02:21]According to the PEMDAS rule, first we go for the exponent because in this expression, exponent has the highest priority than the other operations.

[00:02:30]So, instead of this expression, we can write 16 + 30 / 2 * 5.

[00:02:40]In the next step, we go for the division and multiplication because in the PEMDAS rule, multiplication and division have a higher priority than addition.

[00:02:50]However, it's really important to understand that multiplication and division have equal precedence, and we must perform these two operations from left to right.

[00:03:00]So, first we go for the division between 30 and 2, and instead of this expression, we can write 16 + 15 * 5.

[00:03:12]In the final step, we go for the multiplication between 15 and 5 because multiplication has a higher priority than addition.

[00:03:22]So, we rewrite this equation as 16 + 75, which finally gives us the answer, 91.

[00:03:31]All right. Now, let's solve another math question together.

[00:03:35]What is the value of the expression 15 + 25 / 5 * (6 + 4)?

[00:03:46]Many people, when solving this question, first go for the addition between 15 and 25, and instead of this expression, they write 40 / 5 * (6 + 4) close parenthesis.

[00:04:05]In the next step, they go for the division between 40 and 5. And they write this expression as 8 * (6 + 4) close parenthesis.

[00:04:18]In the final step, they go to the expression inside the parenthesis. And instead of this expression, they write 8 * 10, which finally gives them the answer 80.

[00:04:29]However, it's not the correct answer to this question.

[00:04:33]Also, some other people when solving this question, first go for the expression inside the parenthesis because they believe parenthesis have a higher priority than the other operations.

[00:04:45]So, instead of this expression, they write 15 + 25 / 5 * 10.

[00:04:55]In the next step, they go for the multiplication between 5 and 10 because they think multiplication has a higher priority than division.

[00:05:05]So, they rewrite this expression as 15 + 25 / 50.

[00:05:13]In the final step, they go for the division between 25 and 50 because they believe division has priority over addition.

[00:05:22]So, instead of this expression, they write 15 + 0.5, which finally gives them the answer 15.5.

[00:05:33]But, that's definitely wrong.

[00:05:36]To solve this question, we must follow the order of operations step-by-step from top to bottom.

[00:05:42]As you can see on the screen, in this expression, first we have an addition sign. Then a division sign, followed by a multiplication, and finally parentheses.

[00:05:53]According to the PEMDAS rule, first you go for the parentheses because P or parentheses have the highest priority than the other operations.

[00:06:03]So, instead of this expression, we can write 15 + 25 / 5 * 10.

[00:06:14]In the next step, we go for the division and multiplication because these two operations have a higher priority than addition.

[00:06:22]However, it's very important to remember that multiplication and division are at the same level of precedence and we must perform these two operations from left to right.

[00:06:33]So, first you go for the division between 25 and 5 and write this equation as 15 + 5 * 10.

[00:06:44]In the final step, we go for the multiplication between 5 and 10 because multiplication has a higher priority than addition.

[00:06:53]So, we write this equation as 15 + 50 which finally gives us the answer 65.

[00:07:02]Okay, let's solve the final math question together.

[00:07:05]What is the value of the expression 7 - 5 inside the parentheses - 4 ^ 2 * (4 - 2) Many people when solving this question go straight to the first parentheses and instead of this equation, they write 2 - 4 ^ 2 * (4 - 2) In the next step, they go for the exponent and instead of this equation, they write 2 - 16 multiplied by open parentheses 4 - 2 close parentheses.

[00:07:48]Then, they go for the subtraction between 2 and 16. And I write this equation as -14 multiplied by open parentheses 4 - 2 close parentheses.

[00:08:02]And the final step, they go to the expression inside the parentheses. And instead of this expression, they write -14 multiplied by 2, which finally gives them the answer -28.

[00:08:15]But, this answer is completely wrong.

[00:08:19]To solve this question, we must follow a rule that is called PEMDAS, as you can see on the screen. In this expression, first we have parentheses, then a subtraction sign, followed by an exponent, then a multiplication, and finally another parentheses.

[00:08:37]According to the PEMDAS rule, first we go for the parentheses, because P, or parentheses, have the highest priority than the other operations.

[00:08:46]So, instead of this expression, we can write 2 - 4 ^ 2 multiplied by 2.

[00:08:55]In the next step, we go for the exponent, because in the PEMDAS rule, after parentheses, exponent has a higher priority than the other operations.

[00:09:04]So, we rewrite this equation as 2 - 16 multiplied by 2.

[00:09:12]In the final step, we go for the multiplication between 16 and 2, because multiplication has priority over subtraction.

[00:09:21]So, instead of this expression, we can write 2 - 32, which finally gives us the answer -30.