5 out of 100 students got this right! 😳 Are you among the 5?

追加: 2026-05-30

[00:00:00]A lot of students failed this question because they started from the parentheses, which is the right thing to do, but along the line they got confused, okay? So, what they did first was to write this 20 + 20 / 2 ^ 2 * Now, 6 - 1 is 5, okay? Now, from here they attended to the parent to the exponent first, okay? So, 20 + 20 / 2 ^ 2 is 4, that is 2 * 2 is 4. * 5, okay? Now, from here, because they thought that multiplication is of higher priority to division, so they wrote 20 + 20 / 5 * 4 4 * 5 is 20, okay? So, from here, they thought that division is of higher priority to addition, and they wrote 20 + 20 / 20 is 1, and 21 20 + 1 = 21, okay? But, this is wrong because according to the order of operation, which is PEMDAS PEMDAS, let's write that down. P E M D A S, okay? Where P is parentheses, E is exponent, M is multiplication, D is division, A is addition, and S is subtraction, okay?

[00:01:21]And note that this multiplication and division are of the same priority. That is to say, whenever you have both of them in a particular question, you solve from the left to the right, okay? And for addition and subtraction, they have the same priority as well, and the same thing is applicable to this, okay? So, from our question, you can see that we have parentheses, we have exponent, we have multiplication, we have division, we have addition, and subtraction, okay?

[00:01:47]And because of how our question has parentheses, that is where we are going to start first, okay? Because we have to apply this from up to down, okay? So, we are going to have 20 + 20 / 2 squared * in parenthesis we have 6 - 1 and that is 5, okay? Now, the next step is for us to attend to this exponent. So, we are going to have 20 + 20 / 2 squared is 4, okay? * 5. Now, from here we have division and multiplication and because these two are of the same priority, we are to solve from this um from left to the right, okay? So, we are going to have 20 + 20 / 4 is 5, * 5, okay? And from here we have 20 + 5 * 5 is 25, okay? So, from here 20 + 25 = 45 and this is the right answer. Now, let's look into this particular question here and most students, what they did was to solve for this uh parenthesis first, which is the right thing to do. But, because we have division and multiplication, they thought that uh multiplication is of higher priority to division. So, they wrote 3 - in parenthesis 6 16 / 4 * 2 is 8, okay? * 3 2 exponent 3, okay? So, from here they wrote 3 - 16 / um 16 / 8 = 2 * 2 exponent 3. So, from here they now attended to this exponent, which is 3 - 2 * 2 exponent 3 means 2 * 2 * 2. 2 * 2 is 4 and 4 * 2 is 8. So, we have 8 here.

[00:03:39]Then, 3 2 * 8 is 16. So, from here 3 - 16 = 13 and this is totally wrong because according to the order of operation, which is PEMDAS, okay? We'll write it down so that we don't get confused, okay? PEMDAS.

[00:04:00]Here is parenthesis, here is exponent, this is multiplication, this is division, this is addition, and this is subtraction, okay? And looking at our question, we have um parenthesis. And inside that parenthesis, we have division and multiplication. And because division and multiplication are of the same priority, we are going to solve from the left to the right, okay? So, we have 3 minus um 16, sorry, 16 / 4 = 4, okay? times 2. Now, this is still inside parenthesis, then times 2 exponent 3, okay? So, from here, we have 3 minus 4 * 2 is 8 * 2 exponent 3, okay? So, from here, we attend to the um exponent first. We have 3 minus 8 * 2 exponent 3 is 8, okay? That is 2 * 2 * 2. From here, we have 3 minus 8 * 8 is um 64, okay? And 3 minus 64 equals minus 61 as the correct answer. So, let's look into this particular question. We have 6 + 10 times in parenthesis 5 + 2. Now, what most people did was to add this first.

[00:05:16]6 + 10 is 16 times in parenthesis 5 + 2, okay? Now, from here, they wrote 16 * 5 + 2 is 7, and 16 * 7 = 112, but this is wrong, okay? Now, from our question, if we use the order of operation, which is PEMDAS, now we have parenthesis. I know that parenthesis comes first before multiplication, before addition, okay? Now, if we attend to the parenthesis, we have 6 + 10 * in parenthesis we have 5 + 2 and that is 7, okay? Now, this equals multiplication is of higher priority to addition. So, we multiply 7 * 10 is 70. So, we have 6 + 70 and that's equals 76 as the correct answer. Thank you so much for watching to the end. Please, do well to share this video. I share your thoughts in the comment section. Bye-bye.