The correct order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) must be followed when solving mathematical expressions, with multiplication and division having equal priority and being performed from left to right, as demonstrated by the expression 4 ÷ (1 + 1) × 2 = 4, where parentheses are evaluated first, then division, then multiplication.
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Prerequisite Knowledge
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Deep Dive
One Tiny Mistake Ruins This Entire Calculation!
Added:1 + 1 gives us two.
And the two times two equals four.
So, we have 4 / 4 is just one.
But, this answer is not correct.
Because, according to the order of operations, which is PEMDAS, P stands for parentheses, E stands for exponent, M and D stands for multiplication and division, and A and S stands for addition and subtraction.
First, we have to do parentheses, then exponent, 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 division, one multiplication, and one parenthesis. Inside this parenthesis, we have one addition. Here, we have a multiplication because in mathematics, when a number is placed next to parenthesis, 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 parenthesis, then this division, and then finally this multiplication. If we do this multiplication before this division, it is wrong.
So, first we have to do this parenthesis. Inside this parenthesis, we have 1 + 1, which equals two. So, we have 4 / 2, then times 2.
Now, we have one division and one multiplication. As I said, multiplication and division have equal priority and we have to work from left to right.
So, here, first we have to do this division. 4 / 2 gives us two. So, we have 2 times 2, which equals four.
And this is our final answer to this problem.
The correct answer is four.
Now, it's your turn. Find the value of this expression. 7 - 5 * 7 - 5 Please leave your answer in the comments.
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