The correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) must be followed when solving mathematical expressions, with multiplication and division having equal priority and being solved from left to right, as demonstrated by the correct solution of 6 - 1 + 30 / 5 * 6 = 41 (not 42 or 6 as commonly mistaken).
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97% of Students FAILED This Nice Challenge, Will You Get It Right?Added:
Hello great mind. We are given in parentheses 6 - 1 + 30 / 5 * 6, okay?
Many people while solving this particular question, what they did first was to subtract this. That is attending to the parentheses. 6 - 5 6 - 1 = 5 + 30 / 5 * 6, okay? Now, in their next step, the next thing they did was to add these together, okay? 5 + 30 gave them 35, okay? / 5 * 6, okay? Now, from here, what they did again was to divide these together, okay? 35 / 5 will give 7 * 6, okay? And 7 * 6 = 42. But, this is absolutely wrong. Now, another group of people, which is a lot of percentage of people, did what they did was to subtract this, okay? 6 - 1 = 5 + 30 / 5 * 6, okay? Now, from here, what they did next was to multiply this because they thought that multiplication is of higher priority to division, okay? So, they had 5 + 30 / 5 * 5 gave us 30, okay? And a lot of percentage of people did this, okay?
Because they are confused in in this particular place. So, the next thing they did was to write 5. 30 / 30 is 1, okay? And 5 + 1 = 6. And this is totally wrong as well, okay? Now, let me show you how to solve this in the correct approach, okay? By using PEMDAS, which is the order of operation.
P E M D A S, okay? Where P is the parentheses, E is the exponent, M is multiplication, D is division, and these two are of the same priority. That is to say that whenever you encounter both of them in a particular question, you're going to solve it from the left to the right, okay? Now, from here we have addition and here is subtraction, and these two are of the same priority as well, okay?
So, from our question we're going to attend to the parentheses first because that comes first from the order of operation, okay? Which we are supposed to apply from the up to bottom, okay? So, from here we have 6 - 1 will give us 5 + 13 / 5 * 6, okay? Now, between this division and multiplication, these two are of higher priority to addition, but we are going to start from division first because they are the same division and multiplication are the same, okay?
So, we're going to have 5 + 30 / 5 will give us 6, okay? So, we have 6 * 6.
So, we have 6 * 6 will give us 36.
So, we have 5 + 36. And 5 + 36 = 41 as the correct answer. Now, let's solve this particular question together again before you go, okay? We have 20 + 10 * in parentheses 2 + 2, okay? Now, this brought a lot of confusion because some people what they did was to add these together, okay? 20 + 10 is 30.
Then times in parentheses 2 + 2.
Then in their next step they wrote 30 * 2 + 2 is 4, okay? And 30 * 4 = 120, but this is wrong because according to the order of operation which is PEMDAS. P E M D A S, okay? Where P is the parenthesis, E is the exponent, M is multiplication and D is division. And these two are of the same priority. That is to say that whenever you see both of them in a particular question, you solve from the left to the right, okay? Now, this is addition, okay? Let me write this well.
And this is subtraction, okay? And the same thing is applicable to this.
Whenever you have both of them in a particular question, you solve from the left to the right. Now, from our question which is 20 + 10 * (2 + 2).
Now, first of all, I tend to this, okay?
2 + 2 is 4, so we have 20 + 10 * 4, okay? So, from here, we have we have to multiply this first. Now, this will be equal to 20 + 10 * 4 will give us 40. And 20 + 40 = 60 as the correct answer. Thank you so much for watching till the end. Please share this video. Bye.
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