Most People FAIL! Can YOU Solve This Amazing Math Challenge?

[00:00:00]What is the value of the expression 4 ^ 2 - 50 / 2 * 5?

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

[00:00:11]This equation is so tricky that many people end up with the wrong answer.

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

[00:00:19]To solve this question, many people start by calculating 4 ^ 2 first. And instead of the original expression, they rewrite it as 16 - 50 / 2 * 5.

[00:00:32]In the next step, they usually perform the subtraction between 16 and 50 and simplify this equation to -34 / 2 * 5.

[00:00:44]Then, they proceed by doing the division between -34 and 2, which gives them -17 * 5.

[00:00:52]And finally, they multiply -17 by 5, which ends up with the answer -85.

[00:00:59]Then, without any hesitation, they quickly say that option B is the correct answer to this question.

[00:01:07]However, that's definitely wrong.

[00:01:11]Also, some other people, when solving this question, first go for the expression 4 ^ 2 and they simplify to 16 - 50 / 2 * 5.

[00:01:22]In the next step, they usually go for the multiplication between 2 and 5 because they think multiplication has priority over division.

[00:01:32]So, they rewrite this equation as 16 - 50 / 10.

[00:01:38]Next, they perform the division between 50 and 10 since they believe division has priority over subtraction.

[00:01:46]And they rewrite this equation as 16 - 5, which ultimately gives them the answer 11.

[00:01:53]And immediately, they conclude that option D is the correct answer to this question.

[00:02:00]However, it's not the correct answer to this question.

[00:02:04]All right. Now, let me show you how to solve this equation properly.

[00:02:09]To solve this question, we must follow a rule that is called PEMDAS.

[00:02:13]We have to follow the order of operations as I told you, step by step from top to bottom.

[00:02:19]Okay, as you can see in the image, in this equation, first we have an exponent, then a subtraction sign, followed by a division, and finally a multiplication.

[00:02:31]We should have started with the exponent because in this equation, exponent has a higher priority than the other operation.

[00:02:38]So, this equation simplifies to 16 minus 50 divided by 2 multiplied by 5.

[00:02:45]And in the next step, we need to handle the division and multiplication. Since multiplication and division have higher priority than subtraction.

[00:02:55]However, it's very important to note that multiplication and division have exactly the same level of priority.

[00:03:02]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.

[00:03:11]So, first we perform the division between 50 and 2, and this equation simplifies to 16 minus 25 multiplied by 5.

[00:03:20]And in the final step, we do the multiplication between 25 and 5, which gives us 16 minus 125.

[00:03:28]And finally, the value of this equation is equal to negative 109.

[00:03:34]That's correct. Option A is the correct answer to this question.

[00:03:39]All right. Now, let's solve another tricky math question together.

[00:03:43]What is the value of the expression 18 minus 5 multiplied by open parentheses 4 minus 1 close parentheses?

[00:03:52]Which option do you think is the correct answer to this question?

[00:03:56]Let's take a closer look and solve it together.

[00:03:59]In the first step, most people perform the subtraction between 18 and 5, which I have highlighted in blue.

[00:04:07]So, this equation simplifies to 13 multiplied by 4 - 1 inside the parentheses.

[00:04:13]In the next step, they calculate 4 - 1 inside the parentheses, which becomes 13 multiplied by 3. And finally, the value of this equation must be equal to 39.

[00:04:26]Then, without any hesitation, they quickly think that option D is the correct answer to this question.

[00:04:35]But, I have to say the trick, and it's not the correct answer to this question.

[00:04:41]All right. Now, let me explain it step by step how to solve this equation properly.

[00:04:46]To solve this question, we must follow the PEMDAS rule.

[00:04:50]PEMDAS shows us the priority of the order of operations.

[00:04:54]Okay, as you can see in the image, in this equation, first we have a subtraction sign, then a multiplication sign, and finally parentheses.

[00:05:04]We must start with the parentheses first, because they have a higher priority than the other operation.

[00:05:10]So, we can rewrite this equation as 18 - 5 multiplied by 3.

[00:05:16]In the next step, we move on to the multiplication between 5 and 3, because multiplication has a higher priority than subtraction.

[00:05:25]So, we rewrite this equation as 18 - 15, which finally gives us the answer 3.

[00:05:31]Therefore, option A is the correct answer to this question.