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

Solve: 5 + 3 × 2

Back

11 (First, multiply 3 × 2 = 6, then add 5 + 6 = 11).

Front

Solve: (6 + 2) × 3

Back

24 (First, add 6 + 2 = 8, then multiply 8 × 3 = 24).

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

Solve: 4^2 + 3

Back

19 (First, calculate 4^2 = 16, then add 16 + 3 = 19).

Front

What is the result of 10 ÷ 2 × 5?

Back

25 (Perform division and multiplication from left to right: 10 ÷ 2 = 5, then 5 × 5 = 25).

Front

Solve: 7 + (3 × 2) - 1

Back

12 (First, calculate 3 × 2 = 6, then 7 + 6 - 1 = 12).

Front

What is the purpose of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in a mathematical expression.

Front

Solve: 2 + 3 × (4 - 1)

Back

11 (First, calculate the expression in parentheses: 4 - 1 = 3, then 3 × 3 = 9, and finally 2 + 9 = 11).