Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that dictates 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

What does the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you evaluate an expression with parentheses?

Back

To evaluate an expression with parentheses, first perform the operations inside the parentheses before applying any other operations according to the Order of Operations.

Front

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

Back

The result of the expression 7 + 8 - 2 is 13.

Front

How do you handle addition and subtraction in an expression?

Back

When handling addition and subtraction in an expression, perform these operations from left to right as they appear in the expression.

Front

What is the total cost if a student buys three cans of tennis balls for $4 each and pays $0.95 in sales tax?

Back

The total cost is calculated as (3 × 4) + 0.95 = 12 + 0.95 = $12.95.

Front

If Sam bought two CDs for $13 each and paid $3 in sales tax, how much did he pay in total?

Back

Sam paid a total of (2 × 13) + 3 = 26 + 3 = $29.

Front

What is the first step in solving an expression that includes both addition and multiplication?

Back

The first step is to perform any multiplication or division before performing addition or subtraction, according to the Order of Operations.

Front

Why is it important to follow the Order of Operations?

Back

Following the Order of Operations is important to ensure that mathematical expressions are evaluated consistently and correctly, leading to the correct answer.

Front

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

Back

The value of the expression 9 + (12 - 10) is 11.