This Math Question Is So Tricky That 90% of People Get It WRONG! Can you solve it?

Ajouté : 2026-05-27

[00:00:00]Hi friends, welcome to Turbo Math Channel. In this video, we are going to solve three questions about PEMDAS rule.

[00:00:08]In the first question, we have 24 / 8 * ( 4 / 1/8) + 5 ^ 2.

[00:00:18]What is the answer of this question?

[00:00:21]In this question, we have division, multiplication, parentheses, addition, and exponent.

[00:00:26]To solve this question, we need to follow the order of operations, which is PEMDAS.

[00:00:31]PEMDAS shows the priority of the mathematical operations, and if you don't pay attention to the PEMDAS rule, you get the wrong answer.

[00:00:38]In the PEMDAS 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.

[00:00:52]Multiplication and division have the same level of priority. Also, addition and subtraction have the same level of priority. When we have both in an expression, we start from and simplify the question. Okay, guys.

[00:01:04]According to the PEMDAS rule, in this question, first, we simplify these parentheses. Inside these parentheses, we have 4 / 1/8.

[00:01:13]Okay, guys. To solve this part, we need to follow the KCF rule. In the KCF rule, K stands for keep, C stands for change, and F stands for flip.

[00:01:24]We keep the first number as it is.

[00:01:27]After that, we change the sign, and after that, we flip this fraction. Now, we have 4 * 8 inside this parentheses.

[00:01:36]The question is 24 / 8 * ( 4 * 8) 2.

[00:01:45]In this step, we simplify these parentheses. 4 * 8 = 32.

[00:01:52]Now, we have 24 / 8 * 32 + 5 to the power of 2.

[00:01:59]We have division, multiplication, addition, and exponents.

[00:02:03]In this step, we simplify this exponent.

[00:02:06]5 to the power of 2 = 25.

[00:02:09]Now we have 24 / 8 * 32 then plus 25.

[00:02:16]We have division, multiplication, and addition.

[00:02:19]In this step, we simplify this division.

[00:02:22]24 / 8 = 3.

[00:02:26]Now we have 3 * 32 then plus 25.

[00:02:31]Okay, guys.

[00:02:32]3 * 32 = 96. Now we have 96 + 25. Okay, guys. 96 + 25 = 121.

[00:02:48]The final answer of this question equals 121.

[00:02:52]Let's solve another question about PEMDAS rule.

[00:02:55]1 over 2 to the power of 2 divided by open parentheses 12 - 5 over 8 close parentheses.

[00:03:02]What is the answer of this question? We have exponents, division, parentheses, and subtraction.

[00:03:08]To solve this question, we need to follow the order of operations, which is PEMDAS.

[00:03:13]PEMDAS shows the priority of the mathematical operations. If you want to get the right answer of this question, you must follow the PEMDAS rule.

[00:03:21]In the PEMDAS 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.

[00:03:35]As you know, multiplication and division have the same level of priority. Also, addition and subtraction have the same level of priority.

[00:03:41]When we have both in an expression, we start from the left and simplify the question. Okay, guys.

[00:03:46]According to the PEMDAS rule, first we simplify these parentheses. We have 12 minus 5 over 8.

[00:03:54]Since the denominator of this fraction is 8, we can write 12 as 96 over 8. Now we have 96 over 8 minus 5 over 8 inside this parentheses. The question is 1 over 2 to the power of 2 divided by open parentheses 96 over 8 minus 5 over 8 close parentheses.

[00:04:17]Now we simplify this parentheses. 96 over 8 minus 5 over 8 equals 91 over 8.

[00:04:26]Now we have 1 over 2 to the power of 2 divided by 91 over 8.

[00:04:31]In this step, we simplify this exponent.

[00:04:34]1 over 2 to the power of 2 equals 1 over 4. Now we have 1 over 4 divided by 91 over 8.

[00:04:44]To solve this part, we need to follow the KC F rule.

[00:04:48]In the KC F rule, K stands for keep, C stands for change, and F stands for flip.

[00:04:54]Okay, guys. We keep the first fraction as it is, then we change the sign, and after that, we flip the second fraction.

[00:05:03]Now we have 1 over 4 * 8 over 91. Okay, guys.

[00:05:08]4 / 4 = 1 and 8 / 4 = 2. 1 * 2 = 2 and 1 * 91 = 91.

[00:05:20]The final answer of this question equals 2 over 91.

[00:05:24]Let's solve another question about PEMDAS rule.

[00:05:29]5 to the power of 2 minus open parentheses 114 / 2 * 7 close parentheses then times 7.

[00:05:36]What is the answer of this question?

[00:05:39]In this question, we have exponents, subtraction, parentheses, division, and multiplication. Again, to solve this question, we need to follow the PEMDAS rule.

[00:05:49]PEMDAS shows the priority of the mathematical operations. If you don't pay attention to the PEMDAS rule, you get the wrong answer. 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.

[00:06:09]Multiplication and division have the same level of priority. Also, addition and subtraction have the same level of priority.

[00:06:15]When we have both in an expression, we start from the left and simplify the question.

[00:06:20]Okay, guys. According to the PEMDAS rule, first we simplify this parentheses.

[00:06:24]Because division and multiplication have the same level of priority, we start from the left and simplify the question.

[00:06:30]114 / 2 = 57. Now, we have 57 * 7 inside this parentheses, and the question is 5 ^ 2 - ( 57 * 7) then * 7.

[00:06:48]Again, we simplify this parentheses.

[00:06:51]57 * 7 = 399.

[00:06:57]Now, we have 5 ^ 2 - 399 then * 7.

[00:07:04]We have exponent, subtraction, and multiplication. In this step, according to the PEMDAS rule, first we simplify this exponent. 5 ^ 2 = 25. Now, the question is 25 - 399 then * 7.

[00:07:23]We have subtraction and multiplication.

[00:07:25]Multiplication has higher priority than subtraction. So, first we simplify this multiplication. -399 * 7 = -2,793.

[00:07:42]Now, we have 25 minus 2,793.

[00:07:48]25 minus 2,793 equals negative 2,768.

[00:08:00]Thanks for watching, guys. Please subscribe to the channel and leave a comment. Goodbye.