Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS is often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you calculate the total cost including sales tax?

Back

To calculate the total cost including sales tax, first find the subtotal (the cost of the items before tax), then multiply the subtotal by the sales tax rate (as a decimal) to find the tax amount. Finally, add the tax amount to the subtotal to get the total cost.

Front

What is a mathematical expression?

Back

A mathematical expression is a combination of numbers, variables, and operators (such as +, -, ×, ÷) that represents a value. It does not include an equality sign.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by performing operations and combining like terms.

Front

What is the value of the expression 9 + (12 - 10)?

Back

The value of the expression 9 + (12 - 10) is 11. First, calculate the value inside the parentheses: 12 - 10 = 2, then add 9 + 2 = 11.

Front

How do you write an expression for the total cost of multiple items?

Back

To write an expression for the total cost of multiple items, multiply the number of items by the cost per item and then add any additional costs (like sales tax) if applicable.

Front

What is the result of the expression 7 + 8 - 2?

Back

The result of the expression 7 + 8 - 2 is 13. First, add 7 + 8 = 15, then subtract 2 to get 15 - 2 = 13.

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses are used in mathematical expressions to indicate which operations should be performed first, helping to clarify the order of operations.

Front

What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operators without an equality sign.

Front

How do you handle multiplication and division in the Order of Operations?

Back

In the Order of Operations, multiplication and division are performed from left to right. This means you perform these operations in the order they appear in the expression.