️ Don’t Rush — That’s Why 90% of People FAIL! Can YOU Solve It?

[00:00:00]If we have the expression 6 + 66 / 3 * open parentheses 5 + 6 close parentheses, then what is the correct answer of this question? Many people when solving this question first go for the addition between 6 and 66 and write this equation as 72 / 3 * open parentheses 5 + 6 close parentheses.

[00:00:30]In the next step, they go for the division between 72 and 3 and write this equation as 24 * open parentheses 5 + 6 close parentheses.

[00:00:44]Then, they go to the expression inside the parentheses and write this equation as 24 * 11, which finally gives them the answer 264.

[00:00:57]However, this answer is actually incorrect.

[00:01:01]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 + 66 / 3 * 11.

[00:01:23]In the next step, they go for the multiplication between 3 and 11 because they think multiplication has a higher priority than division. So, instead of this equation, they write 6 + 66 / 33.

[00:01:42]Then, they go for the division between 66 and 33 because they believe division has priority over addition.

[00:01:51]So, instead of this equation, they write 6 + 2, which finally gives them the answer eight.

[00:01:58]But, that's definitely wrong.

[00:02:01]All right. Now, let me show you how to solve this equation properly.

[00:02:06]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.

[00:02:25]As you can see on this screen, in this equation, first we have an addition sign, then a division sign, followed by a multiplication, and finally parentheses.

[00:02:37]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.

[00:02:47]So, instead of this expression, we can write six plus 66 divided by three multiplied by 11.

[00:02:57]And the next step, we move on to the division and multiplication, because multiplication and division have a higher priority than addition.

[00:03:05]However, we must pay close attention that multiplication and division have equal precedence, and we must perform these two operations from left to right.

[00:03:16]So, first we go for the division between 66 and three, and instead of this equation, we can write six plus 22 multiplied by 11.

[00:03:28]And the final step, we go for the multiplication between 22 and 11, because multiplication has a higher priority than addition.

[00:03:38]So, we rewrite this equation as six plus 242, which finally gives us the answer 248.

[00:03:48]Okay. Now, let's solve another math question together.

[00:03:52]What is the value of the expression 90 - 50 / 2 ^ 2 * ( 5 - 3) Many people when solving this question first go for the subtraction between 90 and 50 and instead of this expression they write 40 / 2 ^ 2 * ( 5 - 3) In the next step, they go for the exponent and write this expression as 40 / 4 * ( 5 - 3) Then they go for the division between 40 and 4 and instead of this expression they write 10 * ( 5 - 3) In the final step, they go to the expression inside the parentheses and write this expression as 10 * 2 which finally gives them the answer 20.

[00:04:59]However, this answer is absolutely wrong.

[00:05:03]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 expression they write 90 - 50 / 2 ^ 2 * 2 In the next step, they go for the exponent and write this expression as 90 - 50 / 4 * 2 Then they go for the multiplication between 4 and 2 because they think multiplication has a higher priority than division.

[00:05:45]So, instead of this they write 90 - 50 / 8.

[00:05:53]And in the final step, they go for the division between 50 and 8 because they believe division has a higher priority than subtraction.

[00:06:03]So, instead of this equation, they write 90 - 6.25, which finally gives them the answer 83.75.

[00:06:15]However, it's not the correct answer to this question.

[00:06:19]To solve this question, they 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 division sign, followed by an exponent, then a multiplication, and finally parentheses.

[00:06:36]According to the PEMDAS rule, first we go for the expression inside the parentheses because parentheses have the highest priority than any other operation. So, instead of this equation, we can write 90 - 50 / 2 ^ 2 * 2.

[00:06:56]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.

[00:07:06]So, we rewrite this equation as 90 - 50 / 4 * 2.

[00:07:15]Then, we move on to the division and multiplication because these two operations have a higher priority than subtraction.

[00:07:24]However, we must pay close attention that multiplication and division have equal precedence, and we must perform these two operations from left to right.

[00:07:34]So, first we go for the division between 50 and 4.

[00:07:38]And instead of this equation, we can write 90 minus 12.5 multiplied by two.

[00:07:47]In the final step, we go for the multiplication between 12.5 and two because multiplication has a higher priority than subtraction.

[00:07:57]So, we rewrite this expression as 90 minus 25, which finally gives us the answer 65.

[00:08:06]All right, now let's solve the final math question together.

[00:08:10]What is the value of the expression 30 plus six divided by open parentheses seven minus five close parentheses? Many people when solving this question first go for the addition between 30 and six and instead of this expression they write 36 divided by open parentheses seven minus five close parentheses.

[00:08:35]In the next step, they go to the expression inside the parentheses and they write this expression as 36 divided by two, which finally gives them the answer 18.

[00:08:46]But, this answer is completely wrong.

[00:08:50]To solve this question, we must follow the order of operations step-by-step from top to bottom.

[00:08:56]As you can see on the screen, in this expression first we have an addition sign, then a division sign, and finally parentheses. According to the PEMDAS rule, first we go for the expression inside the parentheses. And instead of this expression, we can write 30 plus six divided by two.

[00:09:17]In the next step, we go for the division between six and two because division has a higher priority than addition.

[00:09:26]So, instead of this expression, we can write 30 plus three, which finally gives us the answer 33.