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 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

How do you evaluate an expression with parentheses?

Back

You should first simplify the expression inside the parentheses before performing any other operations.

Front

What is the result of 7 ÷ 1 - 6?

Back

The result is 1. According to the Order of Operations, you perform the division first, then the subtraction.

Front

How do you handle multiplication and division in an expression?

Back

Multiplication and division are performed from left to right as they appear in the expression.

Front

What is the result of (10 + 5) - 6?

Back

The result is 9. First, you add 10 and 5 to get 15, then subtract 6.

Front

How do you evaluate 24x(4-2)÷6?

Back

First, evaluate the expression in parentheses (4-2) to get 2, then multiply 24 by 2 to get 48, and finally divide by 6 to get 8.

Front

What is the result of 5x(6-3)?

Back

The result is 15. First, evaluate the parentheses (6-3) to get 3, then multiply 5 by 3.

Front

How do you evaluate expressions with both multiplication and subtraction?

Back

Follow the Order of Operations: perform multiplication before subtraction.

Front

What is the result of 30 - 7 x 4?

Back

The result is 2. According to the Order of Operations, you perform the multiplication first (7 x 4 = 28), then subtract from 30.