How to use the order of operations in pre-algebra - High School Math

Follow the order of operations.

First take care of any exponents:

= 6 - (2 + 25)

Then perform the operations in parentheses:

= 6 - 27

= -21

Applying the Order of Operations to the numerator, we get:

Applying the Order of Operations to the denominator, we get:

We divide these fractions to get:

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.

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

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

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

Since , we can convert as follows:

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

In terms of order of operations, you must first perform the exponent portions and then add to the 12:

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:

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:

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:

First, work from left to right completing multiplication and division, then work from left to right completing addition and subtraction.

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.

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.