When solving mathematical expressions, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right); multiplication and division have equal priority and must be performed left to right, not in any other order.
Approfondir
Prérequis
- Pas de données disponibles.
Prochaines étapes
- Pas de données disponibles.
Approfondir
98% of People FAIL This Amazing Challenge! Can YOU Solve It?Ajouté :
What is the value of the expression 2 s² + 7 * open parentheses 28 / 7 * 2 close parentheses and all the square. Which option do you think is the correct answer to this question? This expression is so tricky that many people end up with the wrong answer.
Let's go step by step and solve it together. To solve this question, many people first go straight to 2 squ and they simplify this expression to 4 + 7 * 28 / by 7 * 2 inside the parentheses and all the square. And the next step we perform the addition between 4 and 7 and write this expression as 11 * 28 / 7 * 2 inside the parentheses and all the square. Then they move on to the expression inside the parentheses and submit the division between 28 and 7. So they simplify this expression to 11 multiply by 4 * 2 inside the parentheses and all the square. Next they do the multiplication between 4 and 2 and write this expression as 11 * 8 square.
Finally they did the exponent and simplified this expression to 11 * 64 which finally gives them the answer 74.
Then without any hesitation they quickly say that the correct answer to this question is option D. However this answer is absolutely wrong. Also some other people when solving this question first go write the expression inside of parenthesis because they believe parentheses have the highest priority among all the operations and they start with the multiplication between 7 and 2 because they think multiplication has a higher priority than division.
So they rewrite this expression as 2 s² + 7 * 28 / 14 inside the parentheses and only square. They perform the division between 28 and 14 and write this expression as 2 s 2 + 7 * 2 s². Then they go for the exponents and write this expression as 4 + 7 * 4. And the final step they perform the multiplication between seven and four because they believe multiplication has a higher priority than addition. And this expression simplify to 4 + 28 which ultimately gives them the answer 32.
And immediately they conclude that option B is the correct answer to this question.
However, that's definitely wrong. To solve this question, we must carefully follow the panda step by step. And this role PS stands for parentheses. E stands for exponent. MS stand for multiplication. DS stand for division. A stands for addition and SS stands for subtraction.
We need to perform all the operations exactly in order from top to bottom according to the panda.
So first you go for the expression inside the parenthesis because parentheses have the highest priority than the other operations.
And inside the parentheses first we have a division sign and then a multiplication sign. It's very important to note that multiplication and division have exactly the same level of priority.
In this situation we must start from the left and perform these two operations in order. So first we go for the division between 28 and 7 and write this expression as 2 s² + 7 multiply by 4 * 2 inside the parentheses and all the square. In the next step we perform the multiplication between 4 and 2 and this expression simplify to 2 s^ 2 + 7 multiply by 8 s².
Now it's time for the exponents because after parentheses exponent has a higher priority than the other operations.
So we write this expression as 4 + 7 * 64. And the final step we perform the multiplication between 7 and 64 because multiplication has a higher priority than addition.
And this equation becomes 4 + 4548 which finally gives us the answer 452.
That's great. Option C is the correct answer to this
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