The PEMDAS rule (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) determines the correct order of operations in mathematical expressions: first simplify expressions inside parentheses, then calculate exponents, then perform multiplication and division from left to right, and finally perform addition and subtraction from left to right. This rule ensures consistent and correct results when solving complex mathematical expressions.
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Hi friends, welcome to Turbo Math Channel. In this video, we are going to solve three questions about PEMDAS rule.
In the first question, we have -8 * (7 - 21 / 3 * 2). Close parentheses.
What is the answer of this question? Can you solve it? We have multiplication, parentheses, 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 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.
According to the PEMDAS rule, in this question, first we simplify these parentheses.
Inside these parentheses, we have subtraction, division, and multiplication.
First, we simplify this division. -21 / 3 = -7. Now, we have 7 - 7 * 2 inside these parentheses, and the question is -8 * (7 - 7 * 2). Close parentheses.
Okay, guys.
Again, according to the PEMDAS rule, first we simplify these parentheses.
We have subtraction and multiplication.
Multiplication has higher priority than subtraction. So, first we simplify this multiplication. -7 * 2 = -14.
Now, we have 7 - 14 inside this parentheses.
The question is -8 * 7 - 14.
Again, we simplify this parentheses.
7 - 14 = -7.
Now we have -8 * -7.
-8 * -7 = 56.
The final answer of this question equals 56.
Okay, guys. Let's solve another question about PEMDAS rule.
3/5 to the power of 2 * open parentheses 3 [clears throat] + 1/4 close parentheses.
What is the answer of this question? Can you solve it?
We have exponents, multiplication, parentheses, and addition.
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.
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.
According to the PEMDAS rule, in this question, first we simplify this parentheses.
We have 3 + 1/4.
Since the denominator of this fraction is 4, we can write 3 as 12/4.
Now we have 12/4 + 1/4 inside this parentheses.
Now the question is 3/5 to the power of 2 * open parentheses 12/4 + 1/4 close parentheses. Okay, guys.
Again, we simplify this parentheses.
12/4 + 1/4 = 13/4.
Now, the question is 3/5 to the power of 2 * 13/4.
We have exponent and multiplication.
In this step, we simplify this exponent.
3/5 to the power of 2 = 9/25.
Now, we have 9/25 * 13/4.
Okay, guys.
9 * 13 = 117 and 25 * 4 = 100.
The final answer of this question equals 117/100.
Okay, guys.
Let's solve another question about PEMDAS rule.
189 - 189 * 6 then over open parentheses 15 - 12 close parentheses then all of them to the power of 2.
What is the answer of this question? Can you solve it? We have subtraction, multiplication, division, parentheses, and exponent.
To solve this question again, we need to follow the PEMDAS rule.
PEMDAS shows the priority of the mathematical operations.
If you don't pay attention to the PEMDAS rule, you get the wrong answer.
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.
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.
Let's simplify and solve this question a step by step together.
We have 189 minus 189 * 6 then divided by open parentheses 15 minus 12 close parentheses then all of them to the power of two.
We have subtraction, multiplication, division, and exponent.
First, we simplify this part.
We have subtraction and multiplication.
According to the PEMDAS rule, multiplication has higher priority than subtraction. So, first, we simplify this multiplication. -189 * 6 = -1,134.
Now, we have 189 minus 1,134.
Okay, guys.
189 minus 1,134 = -945.
Now, the question is -945 divided by open parentheses 15 minus 12 close parentheses then all of them to the power of two.
We have division, parentheses, subtraction, and exponent.
According to the PEMDAS rule, in this step, we simplify this parentheses.
Inside this parentheses, we have 15 minus 12.
15 minus 12 = 3.
Now, we have -945 divided by 3 to the power of two.
We have division and exponent.
In this step, we simplify this exponent.
3 to the power of 2 equals 9.
Now, we have -945 / 9.
-945 / 9 equals -105.
The final answer of this question equals -105.
Thanks for watching, guys. Please subscribe to the channel and leave a comment.
Goodbye.
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