The order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) determines the correct sequence for solving mathematical expressions; for example, in the expression 5 - 2 × (5 - 2), you must first evaluate the parentheses (5-2=3), then perform multiplication (2×3=6), and finally subtraction (5-6=-1), resulting in -1 rather than the incorrect answer of 9 that would result from solving left-to-right without following the proper order.
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Is Your Math Brain Ready for This Challenge?Added:
Hey guys, welcome to this video. In this video we want to find the value of this expression 5 minus 2 then times 5 minus 2.
Are you ready to solve? Let's go down to solve it. 5 minus 2 gives us 3.
And again here inside this parentheses we have 5 minus 2.
So, 3 * 3 which equals 9.
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 the 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 brevity. Okay?
So, according to the PEMDAS first we have to do this parentheses, then this multiplication and then finally this subtraction. If we do this subtraction before this multiplication or this parentheses, it is wrong.
So, first we have to do this parentheses.
Inside this parentheses we have 5 minus 2 which equals 3. So, we have 5 minus 2 then times 3.
Now we have one subtraction and the 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. 2 * 3 equals 6.
So, we have 5 minus 6 which equals -1 and this is our final answer to this problem.
The correct answer is -1.
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