Pre-Algebra : Operations and Properties
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Example Questions
Example Question #1 : Order Of Operations
Simplify the expression below.
First, distribute the negative sign into the parentheses.
Next, combine like terms.
Note that all operations in this problem are addition and subtraction; there is no need to FOIL or multiply.
Example Question #2 : Order Of Operations
Solve the following problem:
First, work from left to right completing multiplication and division, then work from left to right completing addition and subtraction.
Example Question #3 : Operations
Suppose you know the value of 
In which order would you carry out the four operations in the expression?
Multiply, add, divide, square
Multiply, divide, add, square
Add, square, divide, multiply
Add, multiply, divide, square
Add, square, multiply, divide
Add, square, multiply, divide
By order of operations, always carry out any operations within parentheses first; this is the addition. This removes the parentheses; what remains is a square, a multiplication, and a division. Since there are no more grouping symbols, square next. The multiplication is done next, as multiplications and divisions are performed in left-to-right order.
In summary: Add, square, multiply, divide
Example Question #4 : Operations
Suppose you know the value of 
In which order would you carry out the four operations in the expression?
Multiply, add, square, subtract
Multiply, square, add, subtract
Square, multiply, add, subtract
Square, add, multiply, subtract
Add, square, multiply, subtract
Add, square, multiply, subtract
By order of operations, always carry out any operations within parentheses first; this is the addition. This removes the parentheses; what remains is a square, a multiplication, and a subtraction. This is the correct order in the absence of grouping symbols.
In summary: Add, square, multiply, subtract
Example Question #5 : Operations
Simplify the expression.
The order of operations is parenthesis, exponents, multiplication, division, addition, subtraction (PEMDAS).
First, we will evaluate the parentheses. Within the parentheses, we need to solve the exponent, then multiply,
Now that the parenthesis is evaluated, we need to multiply.
Finally, we add and subtract. We can arrange the terms in any order.
Example Question #3 : Order Of Operations
Simplify:
Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
Example Question #6 : Operations
Simplify:
Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
Example Question #4 : Order Of Operations
Simplify:
Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
Example Question #2 : Operations And Properties
Simplify:
Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
Example Question #7 : Operations
Simplify:
Follow the order of operations: parentheses, exponents, multiplication, division, addition, and subtraction. Work from left to right, and start with the innermost nested operations when dealing with multiple parentheses:
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