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You need to memorize some rules. For instance, multiplication and division have a greater priority than addition and subtraction; parentheses are used to change the priority.

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Students often learn this mnemonic: "Please Excuse My Dear Aunt Sally" .

Do the operations in this order:

1st, simplify what's in Parentheses. This includes fraction bars, absolute value signs and radical signs.

2nd, evaluate powers ("Exponents") .

3rd, do all Multiplications and Divisions in order from left to right.

4th, do all Additions and Subtractions in order from left to right.

Once you get used to applying "Aunt Sally's Rule", you'll find it's pretty hard to beat!

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Q: How do you know the correct order in which to evaluate algebraic expressions?
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Related questions

How do you evaluate algebraic expressions?

Replace the variables with the correct values and calculate using the order of operations


Why is it important to use order of operations to evaluate algebraic expressions?

I think it is important because you need to know it when you get older.


How do you evaluate a math expression?

The evaluate a algebraic math expression you first must substitute a number for each variable. Then you must perform the operation in the correct order.


How are numerical expressions and algebraic expressions similar?

They both use PEMDAS or Order of Operation


Do you have to arrange in order the terms in algebraic expressions before adding?

Yes


An agreed set of rules to evaluate numerical expressions?

order of operations


You evaluate expressions with more than 1 operation using the?

order of operations


When evaluating algebraic expressions what is the order of operations?

BOMDAS Brackets (parenthesis), Of, Multiplication, Division, Addition, Subtraction


What is the process for evaluating expressions called?

An algebraic expression is a process for evaluating expressions. Replacing variables with numerals and following a standard order of operations is used for the process.


What is the order of operation performed in a fraction?

To Evaluate expressions using the order of operations where there are fraction bars, simplify the top and bottom first, then divide.


Why structure expressions in different ways?

The structuring of expressions is to arrive at the correct answer. Using the 'Order of Precedence' : 1. Brackets; 2. Powers and Roots; 3. Multiplication and Division; 4. Addition and Subtraction, ensures that the correct answer is arrived at.


Summarize the order of operations for evaluating expressions?

In Algebraic and even simple mathematical operations, convention to determines the order of calculations. This order is commonly remembered by the acronym PEMDAS, which stands for (and indicates the order of) parenthesis, exponents, multiplication, division, addition and subtraction.