Algebra - Order of Operations1

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

Front

What does PEMDAS stand for?

Back

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

Front

Evaluate: 3 + 5 × 2

Back

13 (First, multiply 5 × 2 = 10, then add 3 + 10 = 13).

Front

Evaluate: (4 + 6) × 2

Back

20 (First, add 4 + 6 = 10, then multiply 10 × 2 = 20).

Front

What is the first step in solving 8 + 2 × 5?

Back

The first step is to perform the multiplication: 2 × 5 = 10, then add 8 + 10 = 18.

Front

Evaluate: 10 - 3 + 2

Back

9 (First, subtract 10 - 3 = 7, then add 7 + 2 = 9).

Front

Evaluate: 5 × (2 + 3)

Back

25 (First, add 2 + 3 = 5, then multiply 5 × 5 = 25).

Front

What is the value of 2^3?

Back

8 (2 raised to the power of 3 is 2 × 2 × 2 = 8).

Front

Evaluate: 6 + 2 × (3 + 1)

Back

14 (First, solve inside the parentheses: 3 + 1 = 4, then multiply: 2 × 4 = 8, finally add: 6 + 8 = 14).

Front

What is the result of 12 ÷ 4 + 3 × 2?

Back

9 (First, divide: 12 ÷ 4 = 3, then multiply: 3 × 2 = 6, finally add: 3 + 6 = 9).