Order of Operations in evaluating a mathematical expression

The order that we use to assemble a cake or build a house is important. The same holds true for evaluating any expression in math. We call this the Order of Operations. In your own words, explain the Order of Operations.

Give an example of an expression to fit this situation in math and an example in real life.

Please share any trick or mnemonic device to help you recall this order or how to use it. A mnemonic device is a memory trick such as using "The quick brown fox jumped over the lazy dog" to learn all the keys on the keyboard.

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What I recall as a mnemonic device is the phrase "Pardon Me Dear Aunt Sally" which stands for

The order of operations in arithmetic is essential when you have to evaluate an expression that has more than one operation. Like the expression that solves this problem, for example:

Mike bought four boxes of candy, each containing 20 pieces from WalMart ...

Solution Summary

A mnemonic device is given for the order of operations in evaluating a mathematical expression.

I am confused with the concept of mathematicalexpressions. How can I tell when a collection of operations and numbers is an expression?
Is "234x + - รท 14 - 23 46 -" an expression? Can you help me understand this concept?
Thanks

Explain how to evaluate an algebraic expression for given values of the variables. How would a person evaluate the expression "3x - 4y + 9" when x = 2 and y = 5?
(i) Explain the difference between a variable, a variable expression, and an equation. (ii) Explain the difference between a constant and a variable. (iii) Explain

Use each of these numbers exactly one time to write an expression equal to 9. You may go through many steps to arrive at a solution, but use what you know about order of operations to write your answer as a single expression. Then find at least one more way to do it with the same numbers, again writing your answers as just a s

There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45. Write a mathematicalexpression for total profit.

1) Find an equivalent expression using the distributive law. ...
2) Find the distance on the number line between -12 and -10. ...
3) Simplify using the laws of exponents. ...
4) Evaluate the expression using the order of operations. ...
...
[See the attached question file].

1.Apply the Order of Operations to simplify the following expression:
9x[(2x2 - 3x + 7) - (9x3 - 3x2)/3x2]
2.Subtract.
3x4 + 4x3 + 7
- (x4 - 2x3 - x2 - 9x)
3.Simplify the expression, and identify the constants, coefficients, and variables in the simplified expression.
(8w^4 - 6wz + 6wz^2) - (2w^4 + 7wz -

What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression? Explain. Can you solve for a variable in an equation? Explain. Write a mathematical phrase or sentence for your classmates to translate.

1. Why is it necessary to study the order of operations and the laws of operations before you start solving equations?
2. Of the three laws, commutative, associative, and distributive, which one is most frequently used in algebra? Why?
3. How does a term differ from a factor?
4. When adding or subtracting expressions,