In the order of operations (PEMDAS), multiplication and division have the same level of precedence and must be performed from left to right, not by prioritizing multiplication over division. For example, in the expression 200 / 2 * (1 + 4) * 2, the correct solution is 1000, not 10, because you first evaluate the parentheses to get 200 / 2 * 5 * 2, then perform division and multiplication from left to right: 200 ÷ 2 = 100, then 100 × 5 = 500, then 500 × 2 = 1000.
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🔥 90% of People Get This WRONG! Maybe Even MrBeast! Can YOU?Added:
What is the value of the expression 200 / 2 * (1 + 4) * 2?
Which option do you think is the correct answer to this question?
This equation is so tricky that 90% of people get the wrong answer.
Let's go step by step and solve it together.
Many people when trying to solve this question, first go for the expression inside the parentheses because they believe parentheses have a higher priority than the other operation.
So, they simplify this equation to 200 / 2 * 5 and again * 2.
In the next step, they go for the two multiplication signs that I've highlighted in yellow because they think multiplication has a higher priority than division.
So, instead of this equation, they write 200 / 20, which finally gives them the answer that 10.
And immediately, they conclude that the correct answer to this question is option A.
But, I have to say you were tricked and it's not the correct answer to this question.
All right. Now, let me explain step by step how to solve this equation correctly.
To solve this question, we must follow a rule that is called PEMDAS.
In this rule, P stands for parentheses, E stands for exponent, M stands for multiplication, D stands for division, A stands for addition, and S stands for subtraction.
We have to follow the order of operations I told you, step by step from top to bottom.
Okay. In the first step, we go for the expression inside the parentheses because it has the highest priority among all the operations.
So, instead of this equation, we can write 200 / 2 * 5 and again * 2.
Okay, as you can see in the image, in this equation, we have one division sign followed by two multiplication signs.
We must pay close attention that multiplication and division are at the same level of precedence.
In this situation, the best thing to do is first start from the left and perform these two operations in order.
So, first you perform the division between 200 and 2. We simplify this equation to 100 * 5 and again * 2.
In the next step, we perform the multiplication between 100 and 5. And instead of this equation, we can write 500 * 2, which finally gives us the answer 1,000.
That's great. Option D is the correct answer to this question.
All right. Now, let's solve another tricky math question together.
What is the value of the expression 84 / 12 * (8 - 1)? Close parenthesis.
Which option do you think is the correct answer to this question?
Let's take a closer look and solve it together.
In the first step, most people will solve it by solving the expression inside the parenthesis and replace it with 84 / 12 * 7.
In the next step, they go for the multiplication between 12 and 7 because they think multiplication has priority over division.
So, this equation simplifies to 84 / 84, which finally gives them the answer 1.
And immediately, they quickly say that option A is the correct answer to this question.
However, it's not the correct answer to this question.
As you can see on the screen, in this expression, first we have a division sign followed by a multiplication sign, and finally parentheses.
To solve this question, we must follow a rule that is called PEMDAS.
PEMDAS shows us the priority of the order of operation.
So, we start with the parentheses first because it has the highest priority than the other operation.
Okay, this equation simplifies to 84 / 12 * 7.
Now, it's time to simplify this expression.
It's very important to note that in the PEMDAS rule, multiplication and division have exactly the same level of priority.
In this case, all we need to do is start off from the left of the expression and move a step by step toward the right.
So, first we perform the division between 84 and 12. Let's simplify this equation to 7 * 7.
And finally, the value of this equation will be 49.
Therefore, option C is the correct answer to this question.
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