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 to remember the order: 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

Simplify: 3 + 4 × 2

Back

11 (First, multiply 4 × 2 = 8, then add 3 + 8 = 11).

Front

Simplify: (5 + 3) × 2

Back

16 (First, add 5 + 3 = 8, then multiply 8 × 2 = 16).

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, 2^3 means 2 × 2 × 2 = 8.

Front

Simplify: 2^3 + 4

Back

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

Front

What is the result of 10 - 2 × 3?

Back

4 (First, multiply 2 × 3 = 6, then subtract 10 - 6 = 4).

Front

Simplify: 6 + (2^2 × 3)

Back

18 (First, calculate 2^2 = 4, then multiply 4 × 3 = 12, and finally add 6 + 12 = 18).

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression.

Front

Simplify: 8 ÷ 2(2 + 2)

Back

16 (First, calculate inside the parentheses: 2 + 2 = 4, then multiply: 2 × 4 = 8, and finally divide: 8 ÷ 2 = 4).