99% of People GIVE UP HERE! Can YOU Solve This Amazing Math Challenge! 🤔🧠

Added: 2026-05-26

[00:00:00]What is the value of the expression 6 squared plus 40 divided by 4 multiplied by 5?

[00:00:07]Which option do you think is the correct answer to this question?

[00:00:11]This expression confused a lot of people and made them choose the wrong option.

[00:00:16]Let's dive in and break it down a step by step together.

[00:00:19]To solve this question, many people are so quick at calculating 6 squared first.

[00:00:24]And instead of the original expression, they directly write 36 plus 40 divided by 4 multiplied by 5.

[00:00:33]And then the next step, they usually perform the addition between 36 and 40 and simplify this equation to 76 divided by 4 multiplied by 5.

[00:00:44]Then, they proceed by doing the division between 76 and 4, which gives them 19 multiplied by 5. And finally, they multiply 19 by 5, which ends up with the answer 95.

[00:00:57]Then, without any hesitation, they quickly say that option D is the correct answer to this question.

[00:01:05]However, that's definitely wrong.

[00:01:08]Also, some other people when solving this question, first go for the expression 6 squared and they simplify to 36 plus 40 divided by 4 multiplied by 5.

[00:01:20]And then the next step, they usually go for the multiplication between 4 and 5 because they think multiplication has priority over division.

[00:01:29]So, they rewrite this equation as 36 plus 40 divided by 20.

[00:01:35]Next, they perform the division between 40 and 20 since they believe division has priority over addition.

[00:01:44]And they rewrite this equation as 36 plus 2, which ultimately gives them the answer 38.

[00:01:50]And immediately, they conclude that option B is the correct answer to this question.

[00:01:57]However, that's not the correct answer to this question. All right. Now, let me explain it step by step how to solve this expression properly. To solve this question, we must follow the PEMDAS rule.

[00:02:10]We should perform these operations exactly in order from top to bottom step by step.

[00:02:16]Okay, as you can see in the image in this expression, first we have an exponent, then an addition sign, followed by a division, and finally a multiplication.

[00:02:27]We should have start with the exponent because in this expression, exponent has a higher priority than the other operation.

[00:02:35]So, this equation simplifies to 36 + 40 / 4 * 5.

[00:02:42]And the next step, we need to handle the division and multiplication since multiplication and division have higher priority than addition.

[00:02:51]However, it's really important to understand that multiplication and division have exactly the same level of priority.

[00:02:58]In this situation, the best thing to do is to start from the left side of the expression and move toward the right performing division and multiplication in order.

[00:03:07]So, [snorts] first we perform the division between 40 and 4, and this equation simplifies to 36 + 10 * 5.

[00:03:17]Now, it's time to do the multiplication between 10 and 5, which gives us 36 + 50. And finally, the value of this equation is equal to 86.

[00:03:29]That's correct. Option C is the correct answer to this question.

[00:03:34]All right. Now, let's solve another tricky math question together.

[00:03:38]What is the value of the expression 20 / 5 / 9 * 18?

[00:03:44]Which option do you think is the correct answer to this question?

[00:03:48]Let's take a closer look and solve it together.

[00:03:51]At the beginning of this question, many people is ready to the expression 5 over 9 multiplied by 18, which I highlighted in yellow, because they think multiplication has priority over division.

[00:04:05]And they say it's easy to simplify 18 with the 9 in the denominator and write this equation as 20 divided by 10, which finally gives them the answer two.

[00:04:15]Then, without any hesitation, they quickly say that option A is the correct answer to this question.

[00:04:23]But, I have to say we're tricked and it's not the correct answer to this question.

[00:04:29]All right. Now, let me show you how to solve this equation properly.

[00:04:33]To solve this question, we need to follow the PEMDAS rule exactly as I've shown on the screen.

[00:04:39]It means that we have to perform all the operations in order from top to bottom.

[00:04:45]Okay, as you can see in the image, in this equation, we have one division sign followed by a multiplication sign.

[00:04:52]It's very important to note that multiplication and division are at the same level of precedence.

[00:04:58]In this case, the best thing to do is to start from the left side of the expression and move a step by step toward the right.

[00:05:04]So, first we start with the expression 20 divided by 5 over 9.

[00:05:09]Okay, whenever we come across a division sign between two terms, the best thing to do is to apply the KCF rule. In this rule, K stands for keep the first number as it is. C stands for change the division sign to multiplication, and F stands for flip the second fraction.

[00:05:27]So, we remove the highlighted part and replace it with 20 multiplied by 9 over 5.

[00:05:32]Now, the number 20 cancels out with the 5 in the denominator and this equation simplifies to 36 multiplied by 18, which finally gives us the answer 648.