This Math Problem Will Trick You No Matter How Hard You Think!

[00:00:00]If we have the expression 80 + 20 / 2 ^ 2 * (7 - 2) close parenthesis, then what is the correct answer of this question? Many people when solving this question first go for the addition between 80 and 20, and instead of this equation they write 100 / 2 ^ 2 * (7 - 2) close parenthesis.

[00:00:32]In the next step, they go for the exponent and write this equation as 100 / 4 * (7 - 2) close parenthesis.

[00:00:46]Then, they go for the division between 100 and 4, and instead of this equation they write 25 * (7 - 2) close parenthesis.

[00:01:01]Next, they go to the expression inside the parenthesis and write this equation as 25 * 5, which finally gives them the answer 125.

[00:01:13]However, this answer is absolutely wrong.

[00:01:17]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 operation.

[00:01:28]So, instead of this equation they write 80 + 20 / 2 ^ 2 * 5.

[00:01:39]In the next step, they go for the exponent and write this equation as 80 + 20 / 4 * 5.

[00:01:50]Then, they go for the multiplication between 4 and 5 because they believe multiplication has priority over division. So, instead of this equation, they write 80 + 20 / 20.

[00:02:07]And in the final step, they go for the division between 20 and 20 because they think division has a higher priority than addition.

[00:02:17]So, instead of this equation, they write 80 + 1 which finally gives them the answer 81.

[00:02:26]But, this answer is completely wrong.

[00:02:30]All right, now let me explain it step by step how to solve this equation properly.

[00:02:35]To solve this question, we must follow a rule that is called PEMDAS. 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.

[00:02:54]As you can see on the screen, in this equation, first we have an addition sign, then a division sign, followed by an exponent, then a multiplication, and finally parentheses.

[00:03:07]According to the PEMDAS rule, first we go for the expression inside the parentheses because parentheses have the highest priority than the other operation. So, instead of this equation, we can write 80 + 20 / 2 ^ 2 5.

[00:03:27]In the next step, we go for the exponent because in the PEMDAS rule, after parentheses, exponent has a higher priority than the other operation.

[00:03:37]So, we rewrite this equation as 80 + 20 / 4 * 5.

[00:03:46]Then, we move on to the division and multiplication because these two operations have a higher priority than addition. However, we must pay close attention that multiplication and division are at the same level of precedence and we must perform these two operations from left to right. So, first you go for the division between 20 and 4. And instead of this expression, we can write 80 plus 5 multiplied by 5.

[00:04:17]And the final step, we go for the multiplication between 5 and 5 because multiplication has a higher priority than addition. So, instead of this expression, we can write 80 plus 25, which finally gives us the answer 105.

[00:04:36]Okay, now let's solve another math question together.

[00:04:40]What is the value of the expression 50 minus 10 inside the parentheses plus 30 divided by 5 multiplied by 2? Many people when solving this question first go for the expression inside the parentheses and instead of this expression, they write 40 plus 30 divided by 5 multiplied by 2.

[00:05:04]And the next step, they go for the addition between 40 and 30 and write this expression as 70 divided by 5 multiplied by 2.

[00:05:15]Then, they go for the division between 70 and 5. And instead of this expression, they write 14 multiplied by 2, which finally gives them the answer 28.

[00:05:28]But, that's definitely wrong.

[00:05:32]Also, some other people when solving this question again go straight for the expression inside the parentheses and instead of this expression, they write 40 plus 30 divided by 5 multiplied by 2.

[00:05:48]And in the next step, they go for the multiplication between five and two because they think multiplication has a higher priority than division. So, instead of this equation, they write 40 plus 30 divided by 10.

[00:06:06]Then, they go for the division between 30 and 10 because they believe division has a higher priority than addition. So, they rewrite this equation as 40 plus three which finally gives them the answer, 40 three.

[00:06:23]However, this answer is actually incorrect.

[00:06:27]To solve this question, they must follow the order of operations step-by-step from top to bottom. As you can see on the screen, in this equation, first we have parentheses, then an addition sign, followed by a division, and finally a multiplication.

[00:06:43]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.

[00:06:53]So, instead of this equation, we can write 40 plus 30 divided by five multiplied by two.

[00:07:03]In the next step, we go for the division and multiplication because multiplication and division have a higher priority than addition. 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.

[00:07:23]So, first we go for the division between 30 and five. And instead of this equation, we can write 40 plus six multiplied by two.

[00:07:34]In the final step, we go for the multiplication between six and two because multiplication has a higher priority than addition.

[00:07:43]So, we rewrite this equation as 40 + 12, which finally gives us the answer 52.

[00:07:51]Okay, now let's solve the final math question together.

[00:07:55]What is the value of the expression 60 - 50 multiplied by open parentheses 3 - 1 close parentheses? Many people when solving this question first go for the subtraction between 60 and 50. And instead of this equation, they write 10 multiplied by open parentheses 3 - 1 close parentheses.

[00:08:20]In the next step, they go to the expression inside the parentheses and write this equation as 10 multiplied by 2, which finally gives them the answer 20.

[00:08:30]However, it's not the correct answer to this question.

[00:08:34]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 a subtraction sign, then a multiplication sign, and finally parentheses. According to the PEMDAS rule, first we go for the expression inside the parentheses. And instead of this equation, we can write 60 - 50 multiplied by 2.

[00:09:00]In the final step, we go for the multiplication between 50 and 2 because multiplication has a higher priority than subtraction.

[00:09:10]So, we rewrite this equation as 60 - 100, which finally gives us the answer -40.