Math › 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:
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:
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:
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.
Solve the following problem:
First, work from left to right completing multiplication and division, then work from left to right completing addition and subtraction.
Simplify:
Follow the order of operations.
First take care of any exponents:
= 6 - (2 + 25)
Then perform the operations in parentheses:
= 6 - 27
= -21
Evaluate the following expresssion.
Recall the order of operations (PEMDAS). We want to combine the terms inside our parentheses first. Thus, so we have our expression equivalent to:
. Don't forget to keep the
in parentheses after you get it as the sum.
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?
Multiply, subtract, add, cube
Cube, multiply, subtract, add
Cube, multiply, add, subtract
Add, multiply, subtract, cube
Multiply, add, subtract, cube
By order of operations, always carry out any operations within grouping symbols first. Since there are nested grouping symbols, work from the inside (the parentheses) outward. Within the parentheses, there is a multiplication and a subtraction; do them in that order. Going outward, there is a subtraction within the brackets, so do that next. A cube remains, so do that last.
In summary: Multiply, subtract, add, cube
In terms of order of operations, you must first perform the exponent portions and then add to the 12:
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
Multiply, add, subtract, divide
Subtract, add, multiply, divide
Add, subtract, multiply, divide
Divide, multiply, subtract, add
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