Looks Super Simple... But Almost Everyone Gets It WRONG! Will YOU? ‍

[00:00:00]If we have the expression 6 / 2 * 6 inside the parentheses + 8 * open parentheses 9 / 3 close parentheses then what is the correct answer of this question? Many people when solving this question go straight for the expression inside the first parenthesis and solve with the division between six and two.

[00:00:26]So instead of this expression there is three * by 6 inside the parentheses + 8 multiplied by open parentheses 9 / 3 close parentheses and the next step they go for the multiplication between 3 and 6 and write this equation as 18 + 8 multiplied by open parentheses 9 / three close parentheses.

[00:00:58]Then they go for the addition between 18 and 8. And instead of the expression, they write 26 multiplied by open parentheses 9 / 3 close parentheses.

[00:01:13]Next, they go to the expression inside the parentheses and write this expression as 26 * 3, which finally gives them the answer 78.

[00:01:24]However, this answer is absolutely wrong. Also, some other people when solving this question again go straight for the expression inside the first parenthesis. But this time they stop with the multiplication between two and six because they think multiplication has a higherity than division. So instead of this expression we write 6 / 12 inside the parentheses + 8 multiply by open parentheses 9 / 3 close parentheses and the next step they go for the division between 6 and 12 and write this equation as 0.5 + 8 * open parentheses 9 / 3 plus parentheses.

[00:02:17]Then they go for the division between 9 and 3 and write this expression as 0.5 + 8 * 3. And the final step they go for the multiplication between 8 and 3 because they believe multiplication has a higher priority than addition. So instead of the set version they write 0.5 + 24 which finally gives them the answer 24.5.

[00:02:49]But that's definitely wrong. All right.

[00:02:53]Now let me explain step by step how to solve this expression properly. To solve this question we must follow the pandas rule. In this role PS stands for parenthesis. E stands for exponent. MSN for multiplication, DSA for division, ASAN for addition and SS stands for subtraction.

[00:03:16]As you can see in the screen and this expression, first we have parentheses, then an addition sign followed by a multiplication and finally another parenthesis. According to the pandas rule, first we go for the expression inside the parentheses because P or parentheses have the highest priority than the other operations.

[00:03:39]And inside the first parenthesis, we have one division sign followed by a multiplication sign. It's really important to understand that multiplication and division have equal precedence and we must perform these two operations from left to right. So first you go for the division between 6 and two and instead of this expression we can write three * 6 inside the parentheses + 8 multiplied by open parentheses 9 / 3 close parentheses and the next step we go for the multiplication between 3 and 6 and write this expression as 18 + 8 multiply ly by open parentheses 9 / 3 close parentheses.

[00:04:31]Then we go for the division between 9 and 3 inside the second parenthesis and write this expression as 18 + 8 multiplied by 3. And the final step we go for the multiplication between 8 and 3 because multiplication has priority over addition. So we rewrite this equation as 18 + 24 which finally gives us the answer 42.

[00:05:02]Okay. Now let's solve another math question.

[00:05:06]What is the value D of the expression 7^ 2 + open parentheses 5 - 3 close parentheses and multiply by 2 + 2 inside the parenthesis. Many people when solving this question first go for the exponent and instead of this expression they write 49 plus open parentheses 5 minus 3 close parentheses and multiplied by 2 + 2 inside the parenthesis and the next step they go to the expression inside the first parenthesis and I write this expression as 49 + 2 * open parentheses 2 + 2 close parentheses.

[00:05:52]Then they go for the addition between 49 and 2. And instead of this expression, they write 51 multiplied by open parentheses 2 + 2 close parentheses.

[00:06:05][snorts] And the final step, they go to the expression inside the parenthesis and write this expression as 51 * 4, which finally gives them the answer 24.

[00:06:17]However, it's not the correct answer to this question. To solve this question, we must follow a rule that is called pandas. As you can see on the screen and this expression, first we have an exponent, then an addition sign, followed by parentheses, then a multiplication and finally another parenthesis. According to the pandas rule, first we go for the expression inside the parentheses and instead of this expression, we can write 7 squared + 2 * by 4. And the next step, we go for the exponent because in the pandas rule after parentheses exponent has a higher priority than the other operation.

[00:07:01]So we rewrite this expression as 49 + 2 * 4. Then we go for the multiplication between two and four because multiplication has a higher priority than addition. So instead of this expression, we can write 49 + 8 which finally gives us the answer 57.

[00:07:27]All right. Now let's solve the final math question.

[00:07:31]What is the value of the expression 3^ 2 + 36 / 3 * 6? Many people when solving this question first go for the exponent and instead of up this expression they write 9 + 36 / 3 * 6. And the next step they go for the addition between 9 and 36 and write this expression as 40. 5 / 3 * by 6.

[00:08:04]Then they go for the division between 45 and 3. And instead of this expression, they write 15 * by 6, which finally gives them the answer 90. However, this answer is actually incorrect.

[00:08:20]Also some other people when solving this question again go straight for the exponent and instead of this expression they write 9 + 36 / 3 * by 6 and the next step they go for the multiplication between 3 and 6 because they think multiplication has a higher priority than division. So instead of this expression they write 9 + 36 / 18. Then they go for the division between 36 and 18 because they believe division has priority over addition. So instead of this expression they write 9 + 2 which finally gives them the answer 11. But this answer is completely wrong.

[00:09:12]To solve this question, we must follow the order of operations step by step from top to bottom. As you can see on the screen and this expression, first we have an exponent, then an addition sign followed by a division and finally a multiplication. According to the pandas rule, first we go for the exponent because in this expression exponent has a higher priority than the other operations. So we rewrite this expression as 9 [clears throat] + 36 / 3 * 6. And the next step we move on to 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 are at the same level of precedence and we must perform these two operations from left to right. So first we go for the division between 36 and 3 and instead of this expression we can write 9 + 12 * by 6. And the final step we go for the multiplication between 12 and 6 because multiplication has priority over addition. So we rewrite this equation as 9 + 72 which finally gives us the answer 81.