Do You Remember PEMDAS? Try This Challenging Math Question.

[00:00:01]Hi friends, welcome to TurboMath's 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 48 / 8 * (3 / 1/3) + 4 ^ 2.

[00:00:20]What is the answer of this question? We have division, multiplication, parentheses, addition, and exponent.

[00:00:27]To solve this question, we need to follow the PEMDAS rule.

[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.

[00:00:39]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.

[00:00:54]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.

[00:01:08]According to the PEMDAS rule, first we simplify this parentheses. We have 3 / 1/3. 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 3 * 3 inside this parentheses. The question is 48 / 8 * (3 * 3) + 4 ^ 2.

[00:01:42]We have division, multiplication, parentheses, addition, and exponent.

[00:01:47]According to the PEMDAS rule, in this step, we simplify this parentheses. 3 * 3 = 9. We have 48 / 8 * 9, then + 4 to the power of 2. We have division, multiplication, addition, and exponent.

[00:02:01]According to the PEMDAS rule, in this step, we simplify this exponent. 4 to the power of 2 equals 16.

[00:02:09]Now, the question is 48 / 8 * 9 then plus 16.

[00:02:16]Now, we have division, multiplication, and addition. In this step, we simplify this division. 48 / 8 equals 6.

[00:02:27]Now, we have 6 * 9 then plus 16.

[00:02:31]We have multiplication and addition.

[00:02:33]According to the PEMDAS rule, multiplication has higher priority than addition. So, first, we simplify this multiplication. 6 * 9 equals 54. Now, we have 54 plus 16.

[00:02:50]54 plus 16 equals 70.

[00:02:55]The final answer of this question equals 70. Okay, guys.

[00:03:00]Let's solve another question about PEMDAS rule.

[00:03:04]1 over 6 to the power of 2 divided by open parentheses 6 minus 7 over 9 close parentheses.

[00:03:11]What is the answer of this question? We have exponent, division, parentheses, and subtraction.

[00:03:16]Again, to solve this question, we need to follow the PEMDAS rule.

[00:03:20]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.

[00:03:29]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.

[00:03:41]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. According to the PEMDAS rule, first we simplify this parenthesis. Inside this parenthesis we have 6 - 7 over 9.

[00:03:58]Since the denominator of this fraction is 9, we can write 6 as 54 over 9. Now we have 54 over 9 minus 7 over 9 inside this parenthesis.

[00:04:13]Now the question is 1 over 6 to the power of 2 divided by open parenthesis 54 over 9 minus 7 over 9 close parenthesis.

[00:04:22]Now we have exponent, division, and parenthesis.

[00:04:25]In this step, according to the PEMDAS rule, first we simplify this parenthesis. We have 54 over 9 minus 7 over 9. 54 over 9 minus 7 over 9 equals 47 over 9. Now the question is 1 over 6 to the power of 2 divided by 47 over 9.

[00:04:46]In this step, we simplify this exponent.

[00:04:49]1 over 6 to the power of 2 equals 1 over 36. We have 1 over 36 divided by 47 over 9. 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.

[00:05:07]We keep the first fraction as it is, then we change the sign, and after that we flip the second fraction.

[00:05:14]Now we have 1 over 36 times 9 over 47.

[00:05:18]Okay, guys.

[00:05:20]1 times 9 equals 9, and 36 times 47 equals 1,692.

[00:05:30]Okay, guys. 9 divided by 9 equals 1, and 1,692 divided by 9 equals 188.

[00:05:41]The final answer of this question equals 1 over 188.

[00:05:47]Okay, guys. Let's solve another question about PEMDAS rule.

[00:05:52]-4 * (7 - 21 / 7 * 2) What is the answer of this question? In this question, we have multiplication, parentheses, subtraction, division, and another multiplication.

[00:06:07]Again, to solve this question, we need to follow the PEMDAS rule.

[00:06:11]PEMDAS shows the priority of the mathematical operations, and if you don't pay attention to the PEMDAS rule, you get the wrong answer.

[00:06:19]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.

[00:06:32]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.

[00:06:45]According to the PEMDAS rule, first we simplify this parentheses. Inside this parentheses, we have subtraction, division, and multiplication. First, we simplify this division. -21 / 7 = -3.

[00:07:00]Now, we have 7 - 3 * 2 inside this parentheses. The question is -4 * 2) Okay, guys. According to the PEMDAS rule, first we simplify this parentheses. Inside this parentheses, we have subtraction and multiplication.

[00:07:19]Multiplication has higher priority than subtraction. So, first we simplify this multiplication. -3 * 2 = -6. Now, we have 7 - 6 inside this parentheses. The question is -4 * (7 - 6) Now, we have multiplication and parentheses. According to the PEMDAS rule, again, we simplify this parentheses. 7 - 6 = 1.

[00:07:48]Now, we have -4 * 1. -4 * 1 = -4.

[00:07:56]The final answer of this question = -4.

[00:08:00]Guys, if you want to get the right answer of this question, you must follow the PEMDAS rule. If you don't pay attention to the PEMDAS rule, you get the wrong answer. Thanks for watching, guys. Please subscribe to the channel and leave a comment. Goodbye.