Order of Operations and PEMDAS - Basic Arithmetic
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This is a classic order of operations question, and if you are not careful, you can end up with the wrong answer!
Remember, the order of operations says that you have to go in the following order of operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction (also known as PEMDAS). In this equation, you will start with the parentheses. In the parentheses, we have
.
But within the parentheses, you still need to follow PEMDAS. First, we will solve the exponent, and the square of 2 is 4. Then, we'll divide 16 by 4, which gives us 4, so we can rewrite our original equation as
.
We can now divide 
into 
, which gives us
.
The last step is to add and subtract the numbers above, paying careful attention to negative signs. In the end, we end up with 
because 
added to 
equals 
, and 
minus 
equals 
.
This is a classic order of operations question, and if you are not careful, you can end up with the wrong answer!
Remember, the order of operations says that you have to go in the following order of operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction (also known as PEMDAS). In this equation, you will start with the parentheses. In the parentheses, we have
But within the parentheses, you still need to follow PEMDAS. First, we will solve the exponent, and the square of 2 is 4. Then, we'll divide 16 by 4, which gives us 4, so we can rewrite our original equation as
We can now divide
The last step is to add and subtract the numbers above, paying careful attention to negative signs. In the end, we end up with
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Solve:
Solve:
Use the order of operations: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
We want to solve what's in the parentheses first.
Now, do the division and the multiplication.
Therefore our equation becomes:
Finally, subtract.
Use the order of operations: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
We want to solve what's in the parentheses first.
Now, do the division and the multiplication.
Therefore our equation becomes:
Finally, subtract.
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Solve:
Solve:
Use order of operations, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) to solve.
Since there are no parentheses or exponents we can go straight to multiplication and division.
and 
Therefore the following happens:
Then add and subtract.
Use order of operations, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) to solve.
Since there are no parentheses or exponents we can go straight to multiplication and division.
Therefore the following happens:
Then add and subtract.
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Simplify
Simplify
We start with what is inside the parentheses, so 
becomes 
.
Next, we take care of any exponents, giving us 
.
Next, we take care of multiplication/division, giving us 
or 
.
Finally, we carry out our addition/subtraction, leaving us with 
.
We start with what is inside the parentheses, so
Next, we take care of any exponents, giving us
Next, we take care of multiplication/division, giving us
Finally, we carry out our addition/subtraction, leaving us with
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Using order of operations, we need to solve whatever is in the parentheses first.
Next, do the multiplication and division.
Finally, add and subtract.
Using order of operations, we need to solve whatever is in the parentheses first.
Next, do the multiplication and division.
Finally, add and subtract.
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Solve:
Solve:
Using PEMDAS, we do the parenthetical bit first:
Now, we do multiplication and division:
Finally, subtract.
Using PEMDAS, we do the parenthetical bit first:
Now, we do multiplication and division:
Finally, subtract.
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When evaluating the expression
,
which of the five operations must be carried out third?
When evaluating the expression
which of the five operations must be carried out third?
By the order of operations, any operations within parentheses must be carried out first; there are two here, the addition and the subtraction. After this is done, the exponent, or squaring, must be worked before the other operations. Squaring, the third operation, is therefore the correct answer.
By the order of operations, any operations within parentheses must be carried out first; there are two here, the addition and the subtraction. After this is done, the exponent, or squaring, must be worked before the other operations. Squaring, the third operation, is therefore the correct answer.
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When evaluating the expression
,
in which order must you work the three operations?
When evaluating the expression
in which order must you work the three operations?
By the order of operations, in the absence of grouping symbols, multplication must be worked before adding or subtracting. Then the addition and subtraction must be worked in left-to-right order; the subtraction is at left, so the subtraction is worked next, followed by the addition.
By the order of operations, in the absence of grouping symbols, multplication must be worked before adding or subtracting. Then the addition and subtraction must be worked in left-to-right order; the subtraction is at left, so the subtraction is worked next, followed by the addition.
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When evaluating the expression
,
in which order must you work the three operations?
When evaluating the expression
in which order must you work the three operations?
By the order of operations, in the absence of grouping symbols, the exponent (represented here by cubing) must be worked first. The multiplication must be worked second, followed by the subtraction.
By the order of operations, in the absence of grouping symbols, the exponent (represented here by cubing) must be worked first. The multiplication must be worked second, followed by the subtraction.
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