When solving mathematical expressions, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to ensure correct results; for example, in the expression 2 - 9 × (2 - 9), you must first evaluate the parentheses (2-9=-7), then perform the multiplication (9 × -7 = -63), and finally the subtraction (2 - (-63) = 65), yielding 65 as the correct answer.
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Only 1 in 5 Can Solve This Math Problem!Added:
Hey guys, welcome to this video. In this video we want to find the value of this expression 2 minus 9 times 2 minus 9.
Are you ready to solve? Let's go ahead and get started. 2 minus 9 gives us -7.
And again here inside this parentheses we have 2 minus 9.
So -7 times -7 equals positive 49.
But this answer is not correct because according to the order of operations, which is PEMDAS, P stands for parentheses, E stands for exponents, M and D stands for multiplication and division, and A and S stands for addition and subtraction.
First we have to do parentheses, then exponents, then multiplication or division, and then finally addition or subtraction. Remember that multiplication and division have equal priority and we have to work from left to right.
And the same applies to addition and subtraction.
In this expression we have one subtraction, one multiplication, and one parentheses. Inside this parentheses we have one subtraction.
Here we have a multiplication because in mathematics when a number is placed next to parentheses, it means multiplication and we usually don't write the multiplication sign for parentheses.
Okay? So according to the PEMDAS, first we have to do this parentheses, then this multiplication, and then finally this subtraction. If you do this subtraction before this multiplication or this parentheses, it is wrong.
So first we have to do this parenthesis.
Inside this parenthesis, we have 2 - 9, which equals -7.
So, we have 2 - 9 * -7.
Now, we have one subtraction and one multiplication. According to the PEMDAS, multiplication has higher priority than subtraction because multiplication comes before subtraction. So, here first we have to do this multiplication. 9 * -7 = -63.
So, we have 2 - -63.
Negative * negative gives us positive.
So, we have 2 + 63.
Which equals 65.
And this is our final answer to this problem.
The correct answer is 65.
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