Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that dictates the sequence in which calculations are performed in a mathematical expression. The common acronym used to remember this order is PEMDAS: 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: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Front

How do you evaluate an expression with parentheses?

Back

To evaluate an expression with parentheses, first perform the operations inside the parentheses before applying any other operations according to the Order of Operations.

Front

What is the result of 8 + 5 × 4 + (7 - 3)?

Back

The result is 32. First, calculate the parentheses (7 - 3 = 4), then perform multiplication (5 × 4 = 20), and finally add (8 + 20 + 4 = 32).

Front

How do you handle exponents in an expression?

Back

Exponents are handled after parentheses but before multiplication, division, addition, and subtraction. Calculate the exponent value first.

Front

What is the result of 6^3 - 10 ÷ 5?

Back

The result is 214. First, calculate the exponent (6^3 = 216), then perform the division (10 ÷ 5 = 2), and finally subtract (216 - 2 = 214).

Front

How do you perform multiplication and division in an expression?

Back

Multiplication and division are performed from left to right as they appear in the expression, after any parentheses and exponents.

Front

What is the result of (18 ÷ 2) × 3 - 17?

Back

The result is 10. First, calculate the parentheses (18 ÷ 2 = 9), then multiply (9 × 3 = 27), and finally subtract (27 - 17 = 10).

Front

How do you evaluate an expression with both addition and subtraction?

Back

Addition and subtraction are performed from left to right as they appear in the expression, after any parentheses, exponents, multiplication, and division.

Front

What is the result of 18 + (6 - 2) × 2?

Back

The result is 26. First, calculate the parentheses (6 - 2 = 4), then multiply (4 × 2 = 8), and finally add (18 + 8 = 26).