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Example Questions
Example Question #2 : How To Use The Order Of Operations In Pre Algebra
Evaluate the following expression:
To solve this problem, we must follow the order of operations. That is: Parentheses, Exponent, Multiply, Divide, Addition, Subtraction (PEMDAS).
First, we evaluate the parentheses:
Next, we evaluate the exponents:
Next, we complete the multiplication and division from the left to the right of the expression:
Finally, we complete the addition:
Example Question #3 : How To Use The Order Of Operations In Pre Algebra
Evaluate the following expression:
To solve this problem, we must follow the order of operations. That is: Parentheses, Exponent, Multiply, Divide, Addition, Subtraction (PEMDAS).
First, we evaluate the parentheses:
Next, we complete the multiplication:
Finally, we evaluate the addition and subtraction from left to right in the expression:
Example Question #2 : How To Use The Order Of Operations In Pre Algebra
Evaluate the following expression:
To solve this problem, we must follow the order of operations. That is: Parentheses, Exponent, Multiply, Divide, Addition, Subtraction (PEMDAS).
First, we evaluate the parentheses:
Next, we evaluate the exponents:
Next, following PEMDAS, we evaluate the multiplication and division from left to right in the expression:
Finally, we evaluate the subtraction:
Example Question #1 : Operations And Properties
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 #2 : How To Use The Order Of Operations In Pre Algebra
Express in degrees: radians
Since , we can convert as follows:
Example Question #3 : How To Use The Order Of Operations In Pre Algebra
Suppose you know the values of and , and you want to evaluate the expression:
In which order would you carry out the four operations in the expression?
Multiply, subtract, add, divide
Subtract, add, multiply, divide
Divide, multiply, subtract, add
Add, subtract, multiply, divide
Multiply, add, subtract, divide
Multiply, subtract, add, divide
A fraction bar in an expression acts as both a division symbol and a grouping symbol, so we evaluate the numerator first. Within the numerator, there is a multplication, a subtraction, and an addition, so, by order of operations, we multiply first. Addition and subtraction are carried out right to left; the subtraction is left of the addition, so we subtract next, then add. Finally, we divide the numerator by the denominator.
In summary: Multiply, subtract, add, divide
Example Question #1 : Operations
Suppose you know the value of , and you want to evaluate the expression:
In which order would you carry out the four operations in the expression?
Add, square, multiply, divide
Multiply, add, divide, square
Add, multiply, divide, square
Add, square, divide, multiply
Multiply, divide, add, square
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 #2 : Operations
Suppose you know the value of , and you want to evaluate the expression:
In which order would you carry out the four operations in the expression?
Square, multiply, add, subtract
Multiply, add, square, subtract
Add, square, multiply, subtract
Square, add, multiply, subtract
Multiply, square, add, 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 #4 : How To Use The Order Of Operations In Pre Algebra
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 #11 : How To Use The Order Of Operations In Pre Algebra
Evaluate the following expression:
Recall the order of operations. PEMDAS indicates that first parentheses, then exponents, then multiplication and division, followed by addition and subtraction, should be completed. We follow this process with this problem.
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