How Can We Use PEMDAS to Solve a Math Question?

[00:00:00]Hi friends, welcome to turbomath channel.

[00:00:03]What is the answer of this question? 5 to the power of 2 minus open parentheses 147 divided by 3 * 7 close parentheses then * 7.

[00:00:14]Can you solve this question?

[00:00:17]In this question we have exponents, subtraction, parentheses, division, and multiplication.

[00:00:23]To solve this question, we need to follow the order of operations, which is PEMDAS.

[00:00:29]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.

[00:00:38]If you don't pay attention to the PEMDAS rule, you get the wrong answer.

[00:00:42]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.

[00:00:57]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.

[00:01:08]According to the PEMDAS rule, first we simplify this parentheses. Inside this parentheses, we have division and multiplication.

[00:01:16]Because multiplication and division have the same level of priority, we start from the left and simplify.

[00:01:22]147 divided by 3 equals 49. Now we have 49 * 7 inside this parentheses. The question is 5 to the power of 2 minus open parentheses 49 * 7 close parentheses then * 7.

[00:01:40]Now we have exponents, subtraction, parentheses, and multiplication.

[00:01:44]Again, according to the PEMDAS rule, first we simplify this parentheses.

[00:01:49]49 * 7 equals 343.

[00:01:56]Now the question is 5 to the power of 2 minus 343 then times 7. Now we have exponent, subtraction, and multiplication. In this step, we simplify this exponent. 5 to the power of 2 equals 25. Now we have 25 minus 343 then times 7.

[00:02:20]We have subtraction and multiplication.

[00:02:23]According to the PEMDAS rule, multiplication has higher priority than subtraction. So, first we simplify this multiplication. Negative 343 times 7 equals negative 2,401.

[00:02:41]Now we have 25 minus 2,401.

[00:02:47]25 minus 2,401 equals negative 2,376.

[00:02:57]The final answer of this question equals negative 2,376.

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