95% of People GIVE UP HERE! Can YOU Find The Correct Answer? 🤔

Ajouté : 2026-05-12

[00:00:00]What is the value of the expression 6 + open parentheses? 48 / 8 * 2 close parentheses and multip by 2 cube. Which option do you think is the correct answer to this question? This expression is so tricky that 95% of people get the wrong answer. Let's go by and solve it together. To solve this question, many people first go straight to the parentheses and solve the division between 48 and 8. So they write this expression as 6 + 6 * 2 inside the parentheses then multiply by 2 cube. And the next step they perform the multiplication between 6 and 2 and simplify this expression to 6 + 12 multiply by 2 cube. Then they move on to the addition between 6 and 12 and write this expression as 18 * 2 cube. And the final step they go to the exponent and replace this expression with 18 * 8 which finally gives them the answer 144.

[00:01:05]And immediately they conclude that the correct answer to this question is option D. However, this answer is absolutely wrong. Also some other people when solving this question again go straight to the parenthesis but this time they started the multiplication between 8 and two because they believe multiplication has a higher priority than division. So they react this expression as 6 + 48 / 16 inside the parentheses then multiply by 2 cube. And the next step they perform the division between 48 and 16 and simplify this expression to 6 + 3 * 2 cube. Next they go to the exponent and simplify to 6 + 3 * 8. In the final step they perform the multiplication between three and 8 because they believe multiplication has priority over addition. So they rewrite this expression as 6 + 24 which eventually gives them the answer 30.

[00:02:11]Then without any hesitation they quickly say that option B is the correct answer to this question.

[00:02:19]However that's definitely wrong. All right. Now let me show you how to solve this expression properly. To solve this question, we need to follow the order of operations which is pandas. And this rule PS stands for parenthesis. E stands for exponent. MS stands for multiplication. DS stands for division.

[00:02:41]A stands for addition and SS stands for subtraction.

[00:02:46]We should perform these operations exactly in order from top to bottom according to the panda.

[00:02:52]Okay. As you can see in the image and this expression first we have an addition sign then parentheses after that we have a multiplication sign and finally an exponent. We must start with the parenthesis first because parentheses have the highest priority compared to all other operactions.

[00:03:12]And inside the parentheses first we have a division sign and then a multiplication sign. It's very important to remember that multiplication and division are at the same level of precedence. In this situation, we must start from the left and move toward the right performing these two operations in order. So, we begin with the division between 48 and 8. And this expression simplify to 6 + 6 * 2. Inside the parentheses, then multiply by 2 cube. In the next step, we perform the multiplication between 6 and 2 and write this expression as 6 + 12 * 2 cube. In the following step, it's time to handle the exponent because according to the Panda after parenthesis, exponent has the highest priority compared to the other operations.

[00:04:03]So, this expression simplify to 6 + 12 * 8. And the final step, we perform the multiplication between 12 and 8 and simplify this expression to 6 + 96, which finally gives us the answer 102.

[00:04:20]That's great. Option C is the correct answer to this question.