Pre-Algebra : Order of Operations

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #91 : Common Core Math: Grade 5

Select the equation that reflects the phrase below. 

First subtract  and , then multiply by 

Possible Answers:

Correct answer:

Explanation:

Because we want to subtract  and  first, we need to set that off into parentheses due to the order of operation rules. Then we can do the multiplication of 

Example Question #81 : Operations And Properties

Select the equation that reflects the phrase below. 

First add  to  then divide by .

Possible Answers:

Correct answer:

Explanation:

Because we want to add  and  first, we need to set that off into parentheses due to the order of operation rules. Then we can do the division by 

Example Question #11 : Write And Interpret Simple Expressions That Record Calculations: Ccss.Math.Content.5.Oa.A.2

Select the equation that reflects the phrase below. 

First subtract  and , then multiply by .

Possible Answers:

Correct answer:

Explanation:

Because we want to subtract  and  first, we need to set that off into parentheses due to the order of operation rules. Then we can do the multiplication of 

Example Question #81 : Operations

Simplify the following expression:

Possible Answers:

Fol

Correct answer:

Explanation:

Follow the rules of order of operations. An easy way to remember them is to remember PEMDAS. 

P - parenthesis

E - exponents

M/D - multiplication and division, done in order from left to right

A/S - addition and subtraction, done in order from left to right

By following this, we first evaluate what's in the parenthesis:

Next we evaluate the exponent:

Now we multiply from left to right:

Lastly, we add and subtract from left to right:

Example Question #81 : Operations And Properties

Simplify: 

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

To solve this problem you must follow the order of operations which are a set of rules that say some mathematical operations are performed sooner than others. The most common acronym to keep track of the order is PEMDAS which stands for Parentheses, Exponents, Multiplication, Division, Addition, and lastly Subtraction. Deal with each operation and move onto the next.

Paretheses:

Exponents:

Multiplication:

Subtraction:

Example Question #81 : Operations

Simplify.

Possible Answers:

Correct answer:

Explanation:

Follow PEMDAS.

Simplify parentheses: 

Evaluate exponent: 

Divide: 

Example Question #81 : Operations And Properties

Simplify.

Possible Answers:

Correct answer:

Explanation:

Follow PEMDAS.

Evaluate exponent: 

Divide: 

Multiply: 

Example Question #81 : Order Of Operations

Simplify.

Possible Answers:

Correct answer:

Explanation:

Follow PEMDAS.

Simplify parenthese: 

Evaluate exponent: 

Multiply: 

Example Question #82 : Operations

Solve the equation using order of operations.

 

Possible Answers:

Correct answer:

Explanation:

 

Example Question #87 : Operations

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Evaluate the inner parentheses first.

Square the quantity inside the parentheses.

Multiply the number before the parentheses with the inner quantity.

Subtract.

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