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

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[00:00:00]Now, a lot of students fail this particular expression because they did not know the difference between in parentheses minus seven all exponent two minus seven squared plus 14, okay? They don't understand the difference between these two numbers. And what they did was to um write this as minus seven squared and they wrote this as minus 49, okay?

[00:00:24]Minus 49 then minus seven squared plus 14, okay? Now, in their next step they wrote minus 49 minus seven squared here is 49 plus 14, okay? Now, from here they wrote minus 49 minus 49 gave them minus 98, okay? Plus 14. And minus 98 plus 14 equals minus 84, but this is wrong. Let me give you a very quick explanation on how to differentiate between minus seven in uh in parentheses squared then the one that is not in parentheses squared, okay?

[00:01:07]Now, from here now, from this one that is in parentheses, you need to understand that um this square here is of higher priority to this negative, okay? This square here is of higher priority to this negative. And when you attend to this, you need to understand there is what is called unina unary minus, okay? And in unary minus, when you have A to be equal to positive five.

[00:01:32]Now, in unary minus, A will be equal to negative five, okay? Now, in this case where we have minus seven in parentheses um squared, you're going to understand that this is minus seven times minus seven, okay? Now, these two is this is two of this. This square means that we have two of this, okay? Then minus seven squared plus 14. Now, in this case, remember that minus times minus equals plus, okay? Now, in this case, we are going to have minus seven times minus seven will have positive 49.

[00:02:10]Okay? Minus seven squared plus 14. Now, in this case, where we have minus seven squared, look at this here, minus seven squared. Now, this will be equal to minus, then in parentheses, seven squared. So, it simply means that this this squared is only for this seven, not for this minus, okay? This square here is only for this seven, not with this minus. So, in this case, we are going to have positive 49 is still the same thing as writing 49, okay? Then minus seven squared here will be 49, so we'll have minus 49 plus 14, okay? I I I hope you have understood the difference between this one that is in parentheses and the one that is not in parentheses, okay?

[00:02:57]So, from here, 49 minus 49 will give us zero, okay? Plus 14. And zero plus 14 equals 14 as the right answer, okay?

[00:03:08]Now, let's look into this expression two before we will round up, okay? So, in this particular question, most student what they did was to write nine in open square bracket, they wrote two times four divide by four times They attended to the parentheses first, and that is the right thing to do. Three minus two Three minus one is two, sorry, okay? Now, inside the square bracket, they wrote nine open square bracket two times four is eight divide by four times two, okay? Now, because they thought that multiplication is of higher priority to division, so they open square bracket and wrote eight divide by four times two is 8, okay? Now, from here they wrote 9 * 8 / 8 is 1, and they got their answer as 1 because 9 * 1 is 9. But, that is wrong because according to the order of operation, which is PEMDAS, P E M D 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? And remember that multiplication and addition and division are of the same priority. That is to say, whenever you find both of them in a particular question, you have to solve from the left to the right, okay? And addition and subtraction are of the same priority as well. You have to solve from the left to the right if you see both of them in a particular question, okay? So, for that reason, we are going to attend to this parenthesis first, okay? So, we have 9 open square bracket 2 * 4 / 4 * 3 - 1 is 2. We close the square bracket.

[00:04:53]Now, from here we have multiplication, division, and multiplication. We have to go with the multiplication first because multiplication and division are of the same priority. So, we have 9 open parenthesis 2. Sorry, 2 * 4 is 8. So, write 8, okay? I cancel this. / 4 * 2, okay? Now, in this situation where we have division and multiplication, we are going to attend to the division first because division and multiplication are of the same priority, unlike the student that multiplied first, okay? So, we have 9 open square bracket 8 / 4 is 2, okay? * 2.

[00:05:31]So, from here we have 9 * 2 * 2 is 4, and 9 * 4 will give us 36 as the right answer. Thank you so much for watching to the end. Please share your thoughts in the comment section, and share this video. Bye.