The PEMDAS rule (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) determines the correct order of operations in mathematical expressions, where multiplication and division share the same priority level, and addition and subtraction share the same priority level, with operations performed from left to right when both appear in an expression.
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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 39 + 30 over 5 * 4 to the power of 2 - 12 / 4.
What is the answer of this question?
In this question, we have addition, division, multiplication, exponents, subtraction, and another 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 parentheses, E stands for exponents, 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, and 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 exponent. 4 to the power of 2 equals 16.
Now, we have 39 + 30 over 5 * 16 - 12 / 4.
We have addition, division, multiplication, subtraction, and another division. In this step, according to the PEMDAS rule, first, we simplify this division. 30 / 5 equals 6.
Now, we have 39 + 6 * 16 - 12 / 4.
Now, we have addition, multiplication, subtraction, and division.
In this step, according to the PEMDAS rule, first, we simplify this multiplication. 6 * 16 equals 96. Now, we have 39 + 96 - 12 / 4. Now we have addition, subtraction, and division.
In this step, we simplify this division.
-12 / 4 = -3.
Now we have 39 + 96 then -3.
39 + 96 = 135.
Now we have 135 -3. 135 -3 = 132.
The final answer of this question equals 132.
Okay, guys. Let's solve another question about PEMDAS rule.
1/6 ^ 2 / 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 PEMDAS rule. 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.
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 parentheses. We have 5 - 6/8.
Since the denominator of this fraction is 8, we can write 5 as 40/8. Now we have 40/8 - 6/8 inside this parenthesis. The question is 1/6 to the power of 2 divided by open parenthesis 40/8 minus 6/8 close parenthesis. Now we have exponent, division, and parenthesis. Again, we simplify this parenthesis.
40/8 minus 6/8 equals 34/8.
Now the question is 1/6 to the power of 2 divided by 34/8.
In this step, we simplify this exponent.
1/6 to the power of 2 equals 1/36.
Now the question is 1/36 divided by 34/8.
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 the second fraction. Okay, guys.
Now we have 1/36 * 8/34.
8 / 4 = 2, and 36 / 4 = 9.
2 / 2 = 1, and 34 / 2 = 17. Now the question is 1/9 * 1/17.
1 * * 17 = 153.
The final answer of this question equals 1/153.
Okay, guys. Let's solve another question about PEMDAS rule.
77 / 7 * open parenthesis 3 / 1/3 close parenthesis then plus 4 to the power of two.
What is the answer of this question? In this question, we have division, multiplication, parentheses, addition, and exponent. Again, to solve this question, we need to follow the PEMDAS rule.
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 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.
As you know, 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 parentheses. Inside this parentheses, we have 3 divided by 1 over 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 77 / 7 * (3 * 3) then plus 4 to the power of 2.
We have division, multiplication, parentheses, addition, and exponent.
According to the PEMDAS rule, in this step, again, we simplify this parentheses.
3 * 3 = 9. We have 77 / 7 * 9 then plus 4 to the power of 2. We have division, multiplication, addition, and exponent.
First, we We this exponent.
[clears throat] 4 to the power of 2 equals 16. Now we have 77 / 7 * 9 + 16.
First, we simplify this division. 77 / 7 = 11. We have 11 * 9 then + 16.
Now we have multiplication and addition.
In this step, we simplify this multiplication. 11 * 9 = 99. Now we have 99 + 16.
99 + 16 = 115.
The final answer of this question equals 115.
Thanks for watching, guys. Please subscribe to the channel and leave a comment. Goodbye.
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