Only 1% Can Solve This Tricky Math Problem! Can YOU?

[00:00:00]If we have the expression 7 + open parentheses 32 / 8 * 2 close parentheses and multiply by 2 cubed then what is the correct answer of this question? Many people when solving this question first go for the expression inside the parentheses and solve with the division between 32 and 8. So instead of this expression they write 7 plus open parentheses 4 * 2 close parentheses and multiply by 2 cubed. And the next step they go for the multiplication between 4 and 2 and write this expression as 7 + 8 multiply by 2 cubed. Then they go for the addition between 7 and 8. And instead of this expression, they write 15 * 2 cubed. Next, they go for the exponent and write this expression as 15 multiply by 8, which finally gives them the answer 120. However, this answer is actually incorrect.

[00:01:11]Also some other people when solving this question again go straight for the expression inside the parentheses but this time they solve the multiplication between 8 and two because they think multiplication has a higher priority than division. So instead of the sec version they write 7 plus open parentheses 32 divided by 16 close parentheses and multiply by 2 cube and the next step they go for the division between 32 and 16 and I write this equation as 7 + 2 * 2 cube then they go for the exponent and I write this equation as 7 + 2 * 8 and the final step they go for the multiplication between 2 and 8 because they think multiplication has a higher priority than addition. So instead of this expression they write 7 + 16 which finally gives us the answer 23.

[00:02:18]But that's definitely wrong. All right.

[00:02:22]Now let me show you how to solve this expression properly. To solve this question, we must follow a rule that is called pandas. And this rule PS stands for parenthesis. E stands for exponent.

[00:02:36]MS stands for multiplication. DS stands for division. A stands for addition and SS stands for subtraction.

[00:02:45]As you can see in the screen and this expression first we have an addition sign then parentheses followed by a multiplication and finally exponent 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 operations and inside the parenthesis we have one division sign followed by a multiplication sign. It's really important to understand that multiplication and division are at the same level of residence and we must perform these two operations from left to right. So first you go for the division between 32 and 8 and instead of this expression we can write 7 plus open parentheses 4 * 2 close parentheses and multiply by 2 cube. And the next step we go for the multiplication between four and two. And instead of this expression we can write seven + 8 * 2 cube. Then we go for the exponent because in the pandas rule after parentheses exponent has a higher priority than the other operation. So we rewrite this expression as 7 + 8 * 8. And the final step we go for the multiplication between 8 and 8 because multiplication has priority over addition. So instead of this expression we can write 7 + 64 which finally gives us the answer 71.

[00:04:26]Okay. Now let's solve another math question together. What is the value of the expression 75 + 25 / 5^ 2 * open parentheses 6 - 4 closed parenthesis.

[00:04:41]Many people when solving this question first go for the addition between 75 and 25. And instead of this expression they write 100 / 5^ 2 * open parentheses 6 - 4 close parentheses. And the next step they go for the exponent and write this expression as 100 / 25 * open parentheses 6 - 4 close parentheses. Then they go for the division between 25 and write this expression as 4 * open parentheses 6 minus 4 close parenthesis.

[00:05:26]And the final step they go to the expression inside the parentheses and instead of this expression they write four * two which finally gives them the answer eight. However, this answer is absolutely wrong. 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. So set up this expression they write 75 + 25 / 5^ 2 * by two and the next step they go for the exponent and write this expression as 75 + 25 / 25 * 2. then they go for the multiplication between 25 and two because they believe multiplication has a higher priority than division. So instead of this expression they write 75 + 25 divided by 50. Next they go for the division between 25 and 50 because they think division has a higher priority than addition. So instead of this expression they write 75 + 0.5 which finally gives them the answer 75.

[00:06:54]But this answer is completely wrong. 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 addition sign then a division sign followed by an exponent then a multiplication and finally parenthesis.

[00:07:17]According to the pandas rule first you go for the expression inside the parenthesis and instead of this expression we can write 75 + 25 / 5^ 2 * 2. 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. So we rewrite this expression as 75 + 25 / 25 multiplied by two. Then we go for the division and multiplication because these two operations have a higher priority than addition. However, we must pay close attention that multiplication and division have equal precedence and we must perform these two operations from left to right. So, first go for the division between 25 and 25. And instead of this expression, we can write 75 + 1 * 2. And the final step we go for the multiplication between one and two because multiplication has priority over addition. So we rewrite this expression as 75 + 2 which finally gives us the answer 77.

[00:08:37]All right. Now let's solve the final mass question together. What is the value of the expression 26 - 6 * open parentheses 5 + 1 close parenthesis?

[00:08:51]Many people when solving this question first go for the subtraction between 26 and six and instead of this expression they write 20 multiply by open parentheses 5 + 1 close parenthesis. And the [snorts] next step they go to the expression inside the parentheses and write this expression as 20 * 6 which finally gives them the answer 120.

[00:09:18]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. In this expression, first we have a subtraction sign, then a multiplication sign, and finally parenthesis. According to the pandas rule, first you go for the expression inside the parenthesis because parentheses have the highest priority than the other operation. So we rewrite this expression as 26 - 6 * 6.

[00:09:52]And the final step we go for the multiplication between 6 and 6 because multiplication has a higher priority than subtraction. So we rewrite this expression as 26 - 36 which finally gives us the answer -10.