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 in a mathematical expression. 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 the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), 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 7 x (7 - 4) ÷ 3?

Back

The result is 7.

Front

How do you evaluate an exponent, such as (1/2)^2?

Back

To evaluate an exponent, multiply the base by itself as many times as indicated by the exponent. For (1/2)^2, it equals 1/4.

Front

What is the result of (4 x 8) - (9 + 7)?

Back

The result is 16.

Front

How do you handle multiplication and addition in the same expression?

Back

According to the Order of Operations, perform multiplication before addition. For example, in 15 + 7 × 2 – 11 + 35, calculate 7 × 2 first.

Front

What is the result of 15 + 7 × 2 – 11 + 35?

Back

The result is 53.

Front

How do you evaluate an expression with both addition and multiplication, such as 18 + (6 – 2) × 2?

Back

First, evaluate the expression inside the parentheses (6 - 2), then multiply the result by 2, and finally add it to 18.

Front

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

Back

The result is 26.