The PEMDAS rule (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) determines the correct order to solve mathematical expressions, where multiplication and division have equal priority (solved left to right), and addition and subtraction have equal priority (solved left to right); following this rule ensures accurate results, as demonstrated by solving complex expressions like -2 * (30 - 60 / 15) * 3 = -36, 8^2 - (62 / 1 * 10) * 10 = -6,136, and 1 / 2^2 / (10 - 3 / 6) = 3/114.
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90% of People Get Fooled By This Math Question! Can YOU Get It Right?Added:
Hi friends, welcome to turbomath channel. In this video we are going to solve three questions about PEMDAS rule.
In the first question we have -2 * (30 - 60 / 15) * 3. Close parenthesis.
What is the answer of this question? In this question we have multiplication, parenthesis, subtraction, and division.
To solve this question we need to follow the order of operations which is PEMDAS.
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 parenthesis, E stands for exponent, M stands for multiplication, D stands for division, A stands for addition, and S stands for subtraction.
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 the left and simplify the question. Okay, guys.
According to the PEMDAS rule, first we simplify this parenthesis. Inside this parenthesis we have subtraction, division, and multiplication. First, we simplify this division. -60 / 15 = -4.
Now we have 30 - 4 then * 3 inside this parenthesis and the question is -2 * (30 - 4 * 3). Close parenthesis. Okay, guys.
We have multiplication, parenthesis, and subtraction.
Again, we simplify this parenthesis. We have subtraction and multiplication.
Multiplication has higher priority than subtraction. So, first we simplify this multiplication. -4 * 3 = -12.
Now we have 30 - 12 inside this parenthesis and the question is -2 * (30 - 12) Okay, guys. Now we simplify this parentheses. 30 - 12 = 18. Now we have -2 * 18.
-2 * 18 = -36.
The final answer of this question equals -36.
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. Okay, guys. Let's solve another question about PEMDAS rule.
8 to the power of 2 - (62 / 1 * 10) * 10.
What is the answer of this question?
In this question, we have exponents, subtraction, parentheses, division, and multiplication.
Again, to solve this question, we need to follow the order of operations, which is PEMDAS.
PEMDAS shows the priority of the mathematical operations, and if you don't pay attention to the PEMDAS rule, you get the wrong answer. Okay, guys. 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.
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 the left and simplify the question.
Okay, guys. According to the PEMDAS rule, first we simplify this parentheses. Inside this parentheses, we have division and multiplication.
Because multiplication and division have the same level of priority, we start from the left and simplify the question.
62 / 1 = 62. Now we have 62 * 10 inside this parentheses. The question is 8 ^ 2 - (62 * 10) * 10.
Now we have exponents, subtraction, parentheses, and multiplication. In this step, we simplify this parentheses. 62 * 10 = 620.
Now we have 8 ^ 2 - 620 >> [clears throat] >> then * 10. Okay, guys. Now we have exponents, subtraction, and multiplication. In this step, we simplify this exponent. 8 ^ 2 = 64. Now we have 64 - 620 then * 10. We have subtraction and multiplication. Multiplication has higher priority than subtraction. So, first we simplify this multiplication.
-620 * 10 = -6,200.
Now we have 64 - 6,200.
The final answer of this question equals -6,136.
Okay, guys. Let's solve another question about PEMDAS rule.
1 / 2 ^ 2 / (10 - 3 / 6).
What is the answer of this question?
In this question, we have exponent, division, parentheses, and subtraction.
Again, to solve this question, we need to follow the order of operations, which is PEMDAS. 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. In this rule, P stands for parentheses, E stands for exponent, M M multiplication, D stands for division, A stands for addition, and S stands for subtraction. Okay, guys.
Multiplication and division have the same level of priority. Addition and subtraction have the same level of priority. When we have both in an expression, we start from the left and simplify the question.
Okay, guys. First, we simplify this parentheses. We have 10 - 3/6.
Since the denominator of this fraction is 6, we can write 10 as 60/10 or 60/6.
Now we have 60/6 3/6 inside this parentheses. Okay, guys.
60/6 - 3/6 = 57/6.
Now we have 1/2 to the power of 2 divided by 57/6.
In this step, we simplify this exponent.
We have 1/2 to the power of 2.
1/2 to the power of 2 = 1/4.
Now the question is 1/4 divided by 57/6.
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.
We keep the first fraction as it is.
After that, we change the division sign to the multiplication sign, and after that, we flip this fraction. Now we have 1/4 * 6/57.
Okay, guys.
4 / 2 = 2, and 60 / 2 = 3. Now we have 1/2 * 3/ 57.
1 * 3 = 3 and 2 * 57 = 114.
The final answer of this question equals 3 over 114.
Thanks for watching, guys. Please subscribe to the channel and leave a comment.
Goodbye.
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