‍ Everyone Thinks This Is Too Easy… Until They Get It Wrong! Will YOU?

[00:00:00]If we have the expression 4 a² + 32 * open parentheses 6 / 3 * 2 close parentheses then what is the correct answer of this question? Many people when solving this question first go for the exponent and instead of this version they write 16 + 32 multiplied by open parentheses 6 / 3 * 2 close parentheses and [snorts] the next step they go for the addition between 16 and 32 and write this expression as 40 8 multiply by open parentheses 6 / 3 * 2 close parentheses.

[00:00:48]Then they go to the expression inside the parentheses and solve the division between 6 and 3. So instead of this expression they write 48 multiply by open parentheses 2 * 2 close parentheses. Next they go for the multiplication between two and two inside the parentheses and instead of this expression they write 48 multiplied by 4 which finally gives them the answer 192 but this answer is completely wrong.

[00:01:24]Also, some other people when solving this question first go for the expression inside the parenthesis because they believe parentheses have a higher priority than the other operation and they solve the multiplication between three and two because they believe multiplication has a higher priority than division. So instead of this expression they write 4^ 2 + 32 * open parentheses 6 / 6 close parentheses. In the next step they go for the division between 6 and 6 and write this equation as 4^ 2 + 32 * 1. Then they go for the exponent and write this expression as 16 + 32 * 1.

[00:02:17]And the final step they go for the multiplication between 32 and 1 because they think multiplication has a higher priority than addition. So instead of this version they write 16 + 32 which finally gives them the answer 48.

[00:02:38]However, this answer is absolutely wrong. All right. Now, let me show you how to solve this expression properly.

[00:02:46]To solve this question, we must follow a rule that is called pandas. And this rule PS stands for parenthesis, E stands for exponent, MS stand for multiplication, DS stands for division, A stands for addition, and SS stands for subtraction as you can see on the screen. And this expression first we have an exponent then an addition sign followed by a multiplication and finally parenthesis.

[00:03:16]According to the pandas rule first we go for the expression inside the parenthesis because P or parentheses have the highest priority than the other operation. And inside the parentheses 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 3 and instead of this expression we can write 4 s^2 + 32 multiplied by open parentheses 2 * 2 close parentheses. And the next step we go for the multiplication between two and two and write this expression as 4^ 2 + 32 * 4. Then we go for the exponent because in the panda slope after parentheses exponent has a higher priority than the other operation. So we rewrite this expression as 16 + 32 multiplied by 4.

[00:04:26]And the final step we go for the multiplication between 32 and 4 because multiplication has priority over addition. So we rewrite this expression as 16 + 128 which finally gives us the answer 144.

[00:04:46]Okay. Now let's solve another math question together. What is the value of the expression 5^ 2 + open parentheses 2 + 2 close parentheses and multiply by 3 + 3 inside the parenthesis. Many people when solving this question first go for the exponent and instead of this expression they write 25 plus open parentheses 2 + 2 close parentheses and multiply by 3 + 3 inside the parentheses and the next step they go to the expression inside the first parenthesis and write this expression as 25 + 4 * open parenthesis 3 + 3 close parentheses. Then they go for the addition between 25 and 4. And write this expression as 29 multiplied by open parentheses. 3 + 3 close parentheses.

[00:05:48]And the final step they go to the expression inside the parentheses and write this expression as 29 * 6 which finally gives them the answer 174.

[00:06:01]However, this answer is actually incorrect. 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.

[00:06:22]According to the pandas rule, first you go for the expression inside the parentheses and instead of this expression we can write 5 squar + 4 * 6 and the next step we go for the exponent because in the pandas rule after parentheses exponent has a higher priority than the other operations.

[00:06:45]So we rewrite this expression as 25 + 4 * 6. And the final step we go for the multiplication between 4 and 6 because multiplication has priority over addition. So we rewrite this expression as 25 + 24 which finally gives us the answer 49.

[00:07:11]All right. Now let's solve the final math question together. What is the value of the expression 3² + 51 / 3 * 17? Many people when solving this question first go for the exponent and instead of this expression they write 9 + 51 / 3 * by 17. And the next step they go for the addition between 9 and 51 and write this expression as 60 / 3 * by 17.

[00:07:48]Then they go for the division between 60 and 3 and instead of the version they write 20 * 17 which finally gives them the answer 340.

[00:08:03]But that's definitely wrong. Also some other people when solving this question again go straight for the exponent and instead of this expression they write 9 + 51 / 3 * by 17 and the next step they go for the multiplication between 3 and 17 because they believe multiplication has a higher priority than division. So instead of the second version they write 9 + 51 / 51 then they go for the division between 51 and 51 because they think division has priority over addition. So instead of this expression they write 9 + 1 which finally gives them the answer 10.

[00:08:56]However it's not the correct answer to this question. 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.

[00:09:16]According to the pandas rule, first we go for the exponent because in this expression exponent has a higher priority than the other operation. So instead of this expression we can write 9 + 51 / 3 * 17. And the next step we move on to the division and multiplication because these two operations 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. So first we go for the division between 51 and 3. And instead of this version we can write 9 + 17 multiplied by 17. And the final step we go for the multiplication between 17 and 17 because multiplication has a higher priority than addition. So we rewrite this equation as 9 + 289 which finally gives us the answer 298.