Order of Operation Practice

Front

What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

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

What is the first step in simplifying the expression 83 - 9 x 9 + 6?

Back

The first step is to perform the multiplication: 9 x 9 = 81, so the expression becomes 83 - 81 + 6.

Front

Calculate the expression (8 + 3 x 4) x 2 using the Order of Operations.

Back

First, calculate 3 x 4 = 12, then add 8 + 12 = 20, and finally multiply by 2: 20 x 2 = 40.

Front

What is the result of the expression 9 x (6 + 7 - 3) - 2?

Back

First, simplify inside the parentheses: 6 + 7 - 3 = 10. Then multiply: 9 x 10 = 90, and finally subtract 2: 90 - 2 = 88.

Front

What is the first step in simplifying the expression 8 ÷ 2 + (24 - 9 + 2)?

Back

The first step is to simplify inside the parentheses: 24 - 9 + 2 = 17, so the expression becomes 8 ÷ 2 + 17.

Front

What is the result of the expression 5 + 12 - (4 + 3 - 2)?

Back

First, simplify inside the parentheses: 4 + 3 - 2 = 5. Then calculate: 5 + 12 - 5 = 12.

Front

What is the role of parentheses in the Order of Operations?

Back

Parentheses indicate which operations should be performed first in an expression. Calculations inside parentheses are completed before any other operations.

Front

What is the difference between multiplication and addition in the Order of Operations?

Back

Multiplication is performed before addition in the Order of Operations. This means that in an expression, you should always calculate multiplication before addition.

Front

How do you handle multiplication and division in the Order of Operations?

Back

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