The PEMDAS rule (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) determines the correct order of operations in mathematical expressions, where multiplication and division have equal priority and are evaluated left to right, as do addition and subtraction; this rule ensures consistent and correct results when solving complex mathematical problems.
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Most People Get This Math Question Wrong! Can you solve it?
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In this video, we are going to solve three questions about PMDAS rule. In the first question, we have 40 + 33 / 11 * 2 ^ of 2 - 15 / 5. What is the answer of this question? In this question, we have addition, division, multiplication, exponent, subtraction, and another division. To solve this question, we need to follow the order of operations which is PEMDAS.
PEMDAS rules the priority of the mathematical operations. 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. In the Pendas rule, P stands for parenthesis, E stands for exponent, MS stands for multiplication, D stands for division, A stands for addition, and SS 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 pendas rule, first we simplify this exponent. 2 ^ of 2 = 4.
Now the question is 40 + 33 / 11 * 4 - 15 / 5.
We have addition, division, multiplication, subtraction and another division. In this step according to the pendas rule, first we simplify this division. 33 over 11 = 3. Now the question is 40 + 3 * 4 - 15 / 5. We have addition, multiplication, subtraction and division. According to the pendas rule, first we simplify this multiplication. 3 * 4 = 12. Now we have 40 + 12 - 15 / 5. We have addition, subtraction and division.
First we simplify this division. -15 / 5 = -3.
Now the question is 40 + 12 then - 3. 40 + 12 = 52. Now we have 52 - 3. 52 - 3 = 49.
The final answer of this question equals 49. Okay guys, let's solve another question about PMDAS rule. 1 / 9 ^ of 2 / open parenthesis 3 - 4 / 6 close parenthesis. What is the answer of this question? In this question, we have exponent, division, parenthesis, and subtraction.
Again, to solve this question, we need to follow the PMDAS rule. PMDAS shows the priority of the mathematical operations. And if you don't pay attention to the PMDAS rule, you get the wrong answer. In the PEMDAS rule, P stands for parenthesis, E stands for exponent, MS stands for multiplication, D stands for division, A stands for addition, and SS 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 Pendas rule, first we simplify this parenthesis. We have 3 - 4 / 6. Since the denominator of this fraction is 6, we can write 3 as 18 / 6. Now we have 18 / 6 - 4 / 6 inside this parenthesis. The question is 1 / 9 ^ of 2 / open parenthesis 18 / 6 - 4 / 6 closed parenthesis. Okay guys, now we have exponent division and parenthesis. Again we simplify this parenthesis. 18 / 6 - 4 / 6 = 14 / 6.
Now the question is 1 / 9 ^ of 2 / 14 / 6. Okay guys 1 9 ^ 2 = 1 / 81. We have 1 81 / 14 / 6. 14 / 2 = 7. And 6 / 2 = 3.
Now we have 1 81 divided by 7 /3. To solve this part, we need to follow the KCF rule. In the KCF rule, KS stands for keep, C stands for change, and FS stands for philillip. 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. Now we have 1 81 * 3 / 7. Okay guys, 3 / 3 = 1 and 81 / 3 = 27. Now we have 1 / 27 * 1 / 7. 1 * 1 = 1 and 27 * 7 = 189.
The final answer of this question equals 1 over 189. Okay guys, let's solve another question about PMDA's rule. 6 / 3 * open parenthesis 6 / 1 / 3 close parenthesis then plus 7 ^ of 2.
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. And if you don't pay attention to the PEMDAS rule, you get the wrong answer. Parentheses, exponents, multiplication, division, addition, and subtraction.
According to the pendas rule, 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 pendas rule, first we simplify this parenthesis. Inside this parenthesis, we have 6 / 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 FS stands for philillip.
We keep the first number as it is. Then we change the division sign to the multiplication sign. And after that we flip this fraction. Now we have 6 * 3 inside this parenthesis. The question is 6 / 3 * open parentheses 6 * 3 close parenthesis then plus 7 ^ of 2.
Now we have division, multiplication, parenthesis, addition and exponent.
In this step again we simplify this parenthesis. We have 6 * 3. 6 * 3 = 18.
Now we have 6 / 3 * 18. then plus 7 to the^ of two. We have division, multiplication, addition and exponent.
In this step, according to the PMDAS rule, first we simplify this exponent. 7 to the^ of 2 equals 49. We have 6 / 3 * 18. Then plus 49. We have division, multiplication, and addition. In this step, we simplify this division. 6 / 3 = 2. Now we have 2 * 18. Then plus 49. We have multiplication and addition. First we simplify this multiplication. 2 * 18 = 36. Now we have 36 + 49. 36 + 49 = 85. The final answer of this question equals 85. Thanks for watching guys.
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