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. 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 + 2) × 3

Back

18 (First, calculate inside the parentheses: 4 + 2 = 6, then multiply: 6 × 3 = 18).

Front

Evaluate: 8 ÷ 2 + 3 × 4

Back

14 (First, divide: 8 ÷ 2 = 4, then multiply: 3 × 4 = 12, finally add: 4 + 12 = 16).

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base number by itself. For example, 2^3 means 2 × 2 × 2 = 8.

Front

Evaluate: 2^3 + 4

Back

12 (2^3 = 8, then add 8 + 4 = 12).

Front

What is the result of 6 - 2 × 3?

Back

0 (First, multiply: 2 × 3 = 6, then subtract: 6 - 6 = 0).

Front

Evaluate: (5 - 3)^2

Back

4 (First, calculate inside the parentheses: 5 - 3 = 2, then square: 2^2 = 4).

Front

What is the difference between multiplication and division in the order of operations?

Back

Multiplication and division are performed from left to right, meaning they are of equal priority. Perform whichever comes first in the expression.