Order of Operations

Front

What is the Order of Operations?

Back

A set of rules that determines the sequence in which calculations are performed in a mathematical expression.

Front

What does PEMDAS stand for?

Back

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

Front

What is the first step in solving the expression: 8 + 2 × (3 + 5)?

Back

Evaluate the expression inside the parentheses: (3 + 5) = 8.

Front

Solve the expression: 6 + 2 × 3.

Back

12 (First multiply 2 × 3 = 6, then add 6 + 6 = 12).

Front

What is the second step in solving the expression: 4 × (2 + 3) - 5?

Back

After evaluating the parentheses (2 + 3 = 5), the second step is multiplication: 4 × 5 = 20.

Front

What is the result of the expression: 10 - 2 × 3 + 4?

Back

The result is 8 (First, multiply 2 × 3 = 6, then 10 - 6 + 4 = 8).

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first, altering the order of operations.

Front

Solve the expression: 5 - 3 + 2.

Back

4 (Perform subtraction first: 5 - 3 = 2, then add 2 = 4).

Front

What is the error in the following calculation: 5 - 3 + 2 = 5 - 5 = 0?

Back

The error is that addition was done before subtraction; it should be 5 - 3 = 2, then 2 + 2 = 4.

Front

What is the result of the expression: 12 ÷ 4 + 2 × 3?

Back

The result is 10 (First, divide 12 ÷ 4 = 3, then multiply 2 × 3 = 6, and finally add 3 + 6 = 9).