What An Amazing Math Challenge That 99% Get It Wrong! Will YOU?

Added: 2026-05-30

[00:00:00]If we have the expression 6 + 36 / 6 * (3 - 1) then what is the correct answer of this question?

[00:00:13]Many people when solving this question first go for the addition between 6 and 36 and instead of this equation they write 42 / 6 * (3 - 1) then what is the correct answer of this And the next step they go for the division between 42 and 6 and write this equation as 7 * (3 - 1) then what is the correct answer of this And the final step they go for the expression inside the parentheses and write this equation as 7 * 2 which finally gives them the answer 14.

[00:00:54]However, it's not the correct answer to this question.

[00:00:58]Also, some other people when solving this question first go for the expression inside the parentheses because they believe parentheses have a higher priority than the other operation. So, instead of this equation they write 6 + 36 / 6 * 2 And the next step they go for the multiplication between 6 and 2 because they think multiplication has priority over division. So, they rewrite this equation as 6 + 36 / 12 Then they go for the division between 36 and 12 because they believe division has a higher priority than addition.

[00:01:45]So, they rewrite this equation as 6 + 3 which finally gives them the answer 9.

[00:01:52]But this answer is completely wrong.

[00:01:56]All right, now let me explain it step by step how to solve this equation properly.

[00:02:01]To solve this question, we must follow a rule that is called PEMDAS.

[00:02:06]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.

[00:02:20]As you can see on the screen, in this equation, first we have an addition sign, then a division sign, followed by a multiplication, and finally parentheses.

[00:02:31]According to the PEMDAS rule, first we go for the expression inside the parentheses, because P, or parentheses, have the highest priority than the other operations.

[00:02:42]So, instead of this equation, we can write 6 + 36 / 6 * 2.

[00:02:52]In the next step, we move on to the division and multiplication, because these two operations have a higher priority than addition.

[00:03:01]However, we must pay close attention that multiplication and division have the same level of priority, and we must perform these two operations from left to right.

[00:03:11]So, first we go for the division between 36 and 6, and instead of this equation, we can write 6 + 6 * 2.

[00:03:22]In the final step, we go for the multiplication between 6 and 2, because multiplication has priority over addition.

[00:03:31]So, we rewrite this equation as 6 + 12, which finally gives us the answer 18.

[00:03:39]Okay. Now, let's solve another math question together.

[00:03:42]What is the value of the expression 20 - 4 / 2 ^ 2 * (1 parentheses. 1 1) close parentheses.

[00:03:54]Many people when solving this question first go for the subtraction between 20 and 4. And instead of this equation, they write 16 / 2 ^ 2 * close parentheses.

[00:04:12]In the next step, they go for the exponent. And they write this equation as 16 / 4 * + 1) close parentheses.

[00:04:25]Then, they go for the division between 16 and 4. And instead of this equation, they write 4 * (1 + 1) close parentheses.

[00:04:38]In the final step, they go to the expression inside the parentheses. And instead of this equation, they write 4 * 2, which finally gives them the answer 8.

[00:04:50]However, this answer is actually incorrect.

[00:04:54]Also, some other people when solving this question first go for the expression inside the parentheses because they believe parentheses have a higher priority than the other operations.

[00:05:06]So, instead of this equation, they write 20 - 4 / 2 ^ 2 * 2.

[00:05:16]In the next step, they go for the exponent. And instead of this equation, they write 20 - 4 / 4 * 2.

[00:05:28]Then, they go for the multiplication between 4 and 2 because they think multiplication has a higher priority than division.

[00:05:37]So, they write this equation as 20 - 4 / 8.

[00:05:44]In the final step, they go for the division between four and eight because they think division has priority over subtraction.

[00:05:53]So, instead of this equation, they write 20 - 0.5, which finally gives them the answer 19.5.

[00:06:04]But, that's definitely wrong.

[00:06:07]To solve this question, we must follow the order of operations step by step from top to bottom.

[00:06:13]As you can see on the screen, in this equation, first we have a subtraction sign, then a division sign, followed by an exponent, then a multiplication, and finally parentheses.

[00:06:26]According to the PEMDAS rule, first we go for the expression inside the parentheses because P or parentheses have the highest priority than the other operation.

[00:06:36]So, instead of this equation, we can write 20 - 4 / 2 ^ 2 * 2.

[00:06:46]In the next step, we go for the exponent because in the PEMDAS rule, after parentheses, exponent has the highest priority than the other operations.

[00:06:56]So, instead of this equation, we can write 20 - 4 / 4 * 2.

[00:07:06]Then, we go for the division and multiplication because multiplication and division have a higher priority than subtraction.

[00:07:15]However, it's really important to understand that multiplication and division have the same level of priority, and we must perform these two operations from left to right.

[00:07:26]So, first we go for the division between four and four, and instead of this equation, we can write 20 - 1 * 2.

[00:07:37]In the final step, we go for the multiplication between one and two because multiplication has a higher priority than subtraction.

[00:07:46]So, we write this equation as 20 - 2, which finally gives us the answer 18.

[00:07:54]Okay, now let's solve the final math question together.

[00:07:58]What is the value of the expression 7 + 2 inside a parenthesis - 2 ^ 2 * ( 5 - 3 ) Many people when solving this question go straight to the expression inside the first parenthesis and instead of this equation they write 9 - 2 ^ 2 * ( - 3 ) And the next step they go for the exponent and write this equation as 9 - 4 * ( 5 - 3 ) Then they go for the subtraction between 9 and 4 and write this equation as 5 * ( 5 - 3 ) And the final step they go to the expression inside the parenthesis and write this equation as 5 * 2, which finally gives them the answer 10.

[00:09:04]However, this answer is absolutely wrong.

[00:09:08]To solve this question we must follow a rule that is called PEMDAS. As you can see on the screen in this equation first we have parenthesis, then a subtraction sign, followed by an exponent, then a multiplication, and finally another parenthesis.

[00:09:25]According to the PEMDAS rule, first you go for the expression inside the parenthesis.

[00:09:31]So, instead of this equation we can write 9 - 2 ^ 2 * 2.

[00:09:39]And the next step we go for the exponent because in the PEMDAS rule, after parentheses, exponent has a higher priority than the other operation.

[00:09:48]So, we rewrite this equation as nine minus four multiplied by two.

[00:09:55]In the final step, we go for the multiplication between four and two because multiplication has a higher priority than subtraction.

[00:10:05]So, we rewrite this equation as nine minus eight which finally gives us the answer one.