Can You Solve This Math Challenge Correctly?

[00:00:01]Hi friends, welcome to turbomath channel.

[00:00:04]In this video, we are going to solve three questions about PEMDAS rule.

[00:00:09]In the first question, we have 1 over 9 to the power of 2 divided by open parentheses 2 minus 3 over 5 close parentheses.

[00:00:16]What is the answer of this question? We have exponents, division, parentheses, and subtraction.

[00:00:22]Again, to solve this question, we need to follow the order of operations, which is PEMDAS.

[00:00:29]PEMDAS shows the priority of the mathematical operations, and if you don't pay attention to the PEMDAS rule, you get the wrong answer.

[00:00:37]In the PEMDAS rule, P stands for parentheses, E stands for exponents, M stands for multiplication, D stands for division, A stands for addition, and S stands for subtraction.

[00:00:53]Multiplication and division have the same level of priority. Also, addition and subtraction have the same level of priority, and when we have both in an expression, we start from the left and simplify the question. Okay, guys.

[00:01:04]According to the PEMDAS rule, first we simplify these parentheses. We have 2 minus 3 over 5.

[00:01:10]Since the denominator of this fraction is 5, we can write 2 as 10 over 5. Now, we have 10 over 5 minus 3 over 5 inside these parentheses.

[00:01:23]The question is 1 over 9 to the power of 2 divided by open parentheses 10 over 5 minus 3 over 5 close parentheses.

[00:01:31]Now, we have exponents, division, parentheses, and subtraction.

[00:01:35]Again, according to the PEMDAS rule, first we simplify these parentheses. 10 over 5 minus 3 over 5 equals 7 over 5. Now, the question is 1 over 9 to the power of 2 divided by 7 over 9.

[00:01:51]In this step, uh 7 over 5. In this step, we simplify this exponent.

[00:01:57]1 over 9 to the power of 2 equals 1 over 81. We have 1 over 81 divided by 7 over 5. Okay, guys.

[00:02:08]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.

[00:02:18]We keep the first fraction as it is.

[00:02:20]After that, we change the division sign to the multiplication sign, and after that, we flip the second fraction. Okay, guys. Now, we have 1 over 81 * 5 over 7.

[00:02:32]1 * 5 = 5, and 81 * 7 = 567.

[00:02:41]The final answer of this question equals 5 over 567.

[00:02:46]Okay, guys.

[00:02:48]Let's solve another question about PEMDAS rule.

[00:02:52]8 / 4 * ( 7 / 1 / 4) + 8 ^ 2.

[00:02:59]What is the answer of this question? We have division, multiplication, parentheses, addition, and exponent.

[00:03:05]Again, to solve this question, we need to follow the PEMDAS rule.

[00:03:09]PEMDAS shows the priority of the mathematical operations, and if you don't pay attention to the PEMDAS rule, you get the wrong answer. 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.

[00:03:30]Multiplication and division have the same level of priority. Also, addition and subtraction have the same level of priority, and when we have both in an expression, we start from the left and simplify the question.

[00:03:41]According to the PEMDAS rule, first, we simplify this parentheses. We have 7 / 1 / 4. 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. We keep the first number as it is, then we change the sign, and after that, we flip this fraction. Now, we have 7 * 4 inside these parentheses.

[00:04:04]The question is 8 / 4 * (7 * 4) + 8².

[00:04:14]We have division, multiplication, parentheses, addition, and exponent.

[00:04:18]According to the PEMDAS rule, again, we simplify these parentheses. 7 * 4 = 28. Now, we have 8 / 4 * 28 then + 8².

[00:04:32]Okay, guys. Now, we have division, multiplication, addition, and exponent.

[00:04:36]In this step, according to the PEMDAS rule, first, we simplify this exponent.

[00:04:41]8² = 64. Now, we have 8 / 4 * 28 then + 64.

[00:04:51]We have division, multiplication, and addition. First, we simplify this division. 8 / 4 = 2.

[00:04:59]2 * 28 then + 64. We have multiplication and addition. First, we simplify this multiplication.

[00:05:08]2 * 28 = 56. Now, we have 56 + 64.

[00:05:16]56 + 64 = 120.

[00:05:22]The final answer of this question equals 120.

[00:05:26]Okay, guys. Let's solve another question about PEMDAS rule.

[00:05:32]-6 * (13 - 39 / 3 * 1). Close parentheses.

[00:05:39]What is the answer of this question?

[00:05:41]Again, to solve this question, we need to follow the PEMDAS rule.

[00:05:45]PEMDAS rule of the mathematical operations.

[00:05:49]If you want to get the right answer of this question, you must follow the PEMDAS rule.

[00:05:53]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.

[00:06:05]Multiplication and division have the same level of priority. Also, addition and subtraction have the same level of priority, and when we have both in an expression, we start from the left and simplify the question.

[00:06:16]According to the PEMDAS rule, first we simplify these parentheses. We have uh subtraction, division, and multiplication.

[00:06:23]First, we simplify this division. -39 / 3 = -13.

[00:06:30]Now, we have 13 - 13 * 1 inside these parentheses.

[00:06:35]The question is -6 * (13 - 13 * 1) close parentheses.

[00:06:42]Again, we simplify these parentheses.

[00:06:45]Inside these parentheses, we have subtraction and multiplication.

[00:06:50]According to the PEMDAS rule, multiplication has a higher priority than subtraction. So, first we simplify this multiplication.

[00:06:59]-13 * 1 = -13. Now, we have 13 - 13 inside these parentheses. The question is -6 * (13 - 13) close parentheses.

[00:07:13]Now, we have multiplication, parentheses, and subtraction.

[00:07:18]According to the PEMDAS rule, first we simplify these parentheses. Inside these parentheses, we have 13 - 13. 13 - 13 = 0. Now, we have -6 * 0.

[00:07:31]-6 * 0 = 0.

[00:07:35]The final answer of this question = 0.

[00:07:38]Guys, if you want to get the right answer of this question, you must follow the PEMDAS rule.

[00:07:45]If you don't pay attention to the PEMDAS rule, you get the wrong answer.

[00:07:50]Parentheses, exponent, multiplication, division, addition, and subtraction.

[00:07:57]Thanks for watching, guys. Please subscribe to the channel and leave a comment. Goodbye.