SAT Math : How to find order of operations

Example Questions

Example Question #41 : Arithmetic

Solve:

Explanation:

Following the order of operations, we can go through these steps to solve the problem:

Example Question #42 : Arithmetic

Find the value of the expression:

Explanation:

We need to use PEMDAS (Parentheses, Exponents, Multiplication, Divison, Addition, and Subtraction) to start and simplify this expression.

Step 1:

We will first do the operations in the parentheses:

Step 2:

We will then calculate the exponent. Be aware that the minus sign between the parentheses and the 2 does not effect the base of the exponent.

So, .

Step 3: We will now write the new equation based on the numbers that we got.

The new equation is: .

Step 4: Subtract 4 and 8.

Step 5: Add 6 to the result of the last operation.

Example Question #43 : Arithmetic

Solve:

Explanation:

To solve this problem, we want to use the Order of Operations (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

First, we'll simplify what's inside the parentheses.

Next, we'll do multiplication and division as they appear from left to right.

Then, finally, we'll subtract.

Example Question #44 : Arithmetic

Solve:

None of the given answers.

Explanation:

To solve this, we need to follow the Order of Operations (PEMDAS). To do this, we need to solve our exponential term first, then multiplication, then addition, like so:

Example Question #45 : Arithmetic

Solve:

Explanation:

In PEMDAS, division and multiplication comes before addition and subtraction. Therefore,

Example Question #46 : Arithmetic

Solve:

Explanation:

In PEMDAS, we apply the exponents first followed by multiplication and then finally subtraction.

Therefore,

Example Question #47 : Arithmetic

Solve:

Explanation:

In PEMDAS, we do parentheses first, followed by multiplication and finally addition from left to right.

Therefore,

Example Question #48 : Arithmetic

Solve:

Explanation:

In PEMDAS, we will apply the parentheses from left to right. Then we apply the exponent and addition inside the parentheses. Finally, we do division.

Therefore,

Example Question #49 : Arithmetic

Solve:

Explanation:

In PEMDAS, we apply parentheses, followed by multiplication and lastly addition.

Therefore,

Solve: