A clear and necessary reminder that mathematical literacy begins with disciplined syntax and fundamental logic. It effectively demystifies common pitfalls by reinforcing the essential left-to-right priority in basic arithmetic.
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Looks Easy! But This Math Problem Tricks Everyone!📚Added:
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 20 divided by two times open parentheses two divided by 1/2 close parentheses then plus three to the power of two.
What is the answer of this question? In this question we have division, multiplication, parentheses, addition, and exponent. 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.
Okay, guys.
According to the PEMDAS rule, first we simplify this parentheses. We have 2 divided by 1/2.
To solve this part, we need to follow the KCF rule. In this 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 two times two inside this parentheses. The question is 20 divided by two times open parentheses two times two close parentheses then plus three to the power of two. Okay, guys.
Now we have division, multiplication, parentheses, addition, and exponent.
Again, we simplify this parentheses. Two times two equals four.
Now the question is 20 divided by two times four then plus three to the power of two.
We have division, multiplication, addition, and exponent. In this step, we simplify this exponent.
Three to the power of 2 equals 9. Now we have 20 / 2 * 4 then + 9.
20 / 2 = 10.
Now we have 10 * 4 then + 9. Okay, guys.
We have multiplication and addition.
In this step, we simplify this multiplication. 10 * 4 = 40. Now we have 40 + 9 and 40 + 9 = 49. The final answer of this question equals 49.
Guys, if you want to get the right answer of this question, you must follow the PEMDAS rule.
Let's solve another question about PEMDAS rule.
1 over 9 to the power of 2 divided by open parentheses 2 - 2 over 3 close parentheses.
What is the answer of this question?
Again, to solve this question, we need to follow the order of operations, which is PEMDAS.
PEMDAS shows the priority of the mathematical operations. In this question, we have exponents, division, parentheses, and subtraction.
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 2 - 2 over 3.
Since the denominator of this fraction is 3, we can write 2 as 6 over 3. Now we have 6 over 3 - 2 over 3 inside this parentheses.
Okay, guys. The question is 1 over 9 to the power of 2 divided by open parentheses 6 over 3 minus 2 over 3 closed parentheses.
Again, we simplify this parentheses. 6 over 3 minus 2 over 3 equals 4 over 3.
Now, the question is 1 over 9 to the power of 2 divided by 4 over 3.
In this step, we simplify this exponent.
1 over 9 to the power of 2 equals 1 over 81.
Now, the question is 1 over 81 divided by 4 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 fraction as it is, then we change the sign, and after that, we flip the second fraction.
Okay, guys.
3 divided by 3 equals 1, and 81 divided by 3 equals 27. Now, we have 1 over 27 * 1 over 4. 1 * 1 equals 1, and 27 * 4 equals 108.
The final answer of this question equals 1 over 108.
Okay, guys. If you're ready, let's solve another question about PEMDAS rule.
12 to the power of 2 minus open parentheses 110 divided by 2 * 3 closed parentheses then * 3.
What is the answer of this question?
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 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, first we simplify these parentheses. We have division and multiplication. Because division and multiplication have the same level of priority, we start from the left and simplify. 110 / 2 = 55. Now we have 55 * 3 inside these parentheses, and the question is 12 ^ 2 - (55 * 3) * 3.
Now we simplify these parentheses. 55 * 3 = 165.
We have 12 ^ 2 - 165 * 3. We have exponents, subtraction, and multiplication.
In this step, we simplify this exponent.
12 ^ 2 = 144.
Now we have 144 - 165 * 3. Okay, guys. In this step, we have subtraction and multiplication.
Multiplication has higher priority than subtraction. So, first we simplify this multiplication.
-165 * 3 = -495.
Now we have 144 495.
144 - 495 = -351.
The final answer of this question equals -351.
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.
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