Order of Operations – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

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The order of operations (operator precedence) helps you with simplifying expressions or equations.

Maybe you wonder what you should do first: calculation inside the parantheses (brackets), or solving exponents (indices, powers, orders) and square roots (radicals)? And what about multiplication, division, addition, and subtraction? Do you multiply numbers first before you add? And in what order do you divide or subtract?

The order of operations gives you easy instructions of which operator has precendence if you have to handle expressions and equations. A mnemonic device for the order of operations is the acronym PEMDAS (BODMAS, BEDMAS, BIDMAS). To memorize it better you can make a sentence with those letters, such as "Please Excuse My Dear Aunt Sally."

In math, as well as in real-life situations, the order of operations is a necessary tool for all basic calculations and it is very easy to follow. You will need it for every following math topic, as well as in many science topics and in everyday life.

This video shows you situations that are common in daily life where order is relevant and shows you step by step how to transfer this knowledge into math. You will learn the precendence of operators in a funny, entertaining way, and will be guided through simplifying complex expressions the easy way. After watching this video, you will forever remember the right order of operations as you connect it with a great mnemonic device.

Write expressions in equivalent forms to solve problems.

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Exercises in this Practice Problem
Using the correct order of operations, determine the right recipe.
Correctly simplify the expression $(8 - 2)^2 + (5 + 2)$.
Correctly simplify the expression and help Timothy figure out Sarah's number.
Find out how many eggs and how much flour Sally needs for her cookie recipe.
Identify the mnemonic used to remember PEMDAS.
Simplify the expressions by using the order of operations.