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Example Questions
Example Question #1 : Order Of Operations
Evaluate:
Work the operations in this order: Square first, multiply second, add third.
Example Question #1 : Order Of Operations
Solve:
When solving this problem, you need to remember order of operations, which tells us which operation has to be done first.
When following order of operations, you complete operations in the following order:
1. Parenthesis - Complete any operation in parenthesis first
2. Exponents - Solve exponents second
3. Multiplication and Division - Multiply or Divide (whichever one comes first from left to right)
4. Addition and Subtraction - Add or Subtract (whichever one comes first from left to right)
Keeping order of operations in mind, the steps to solve are below
Example Question #1 : Order Of Operations
Define an operation on the real numbers as follows:
Evaluate
Undefined
Substitute 6 for and
for
:
Example Question #1 : Complex Operations
Define an operation on the real numbers as follows:
Evaluate
Undefined
Undefined
Substitute 7 for and -
for
:
Any fraction with a zero denominator - such as this one - is an undefined quantity.
Example Question #5 : Order Of Operations
Solve:
This problem involves order of operations.
Use the acronym for the correct order:
PEMDAS-Parenthesis, Exponents, Multiply, Divide, Add, Subtract
(Please Excuse My Dear Aunt Sally)
Start by grouping what needs to be solved first.
The answer is 14.
Example Question #1 : Order Of Operations
In order to calculate
what step must you take first?
Subtracting twenty from fifty
Adding five and eight
Calculating the square of eight
Dividing twenty by five
Calculating the square of eight
By the order of operations, in the absence of grouping symbols, exponents must be carried out before any other operations. The correct choice is that eight must be squared.
Example Question #1 : Order Of Operations
Evaluate for
.
Do not use a calculator.
Substitute 0.5 for and follow the order of operations:
Example Question #1 : Order Of Operations
Evaluate for
. Do NOT use a calculator.
Substitute for
in the expression and folllow the order of operations:
Example Question #9 : Order Of Operations
Evaluate for
Do not use a calculator.
Substitute 7 for in the expression and evaluate, paying attention to the order of operations:
Example Question #10 : Order Of Operations
Evaluate:
Do not use a calculator.
In the order of operations, additions and subtractions are carried out from left to right:
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