Order of Operations with Integers

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 abbreviated as PEMDAS.

Tags

CCSS.7.NS.A.3

Front

What does 'parentheses' mean in the context of Order of Operations?

Back

Parentheses are symbols used to group parts of a mathematical expression. Calculations inside parentheses should be performed first.

Tags

CCSS.7.NS.A.3

Front

What is the result of the expression: 50 - 16 ÷ 2 * (12 + 4)?

Back

The result is 38. First, calculate (12 + 4) = 16, then 16 ÷ 2 = 8, and finally 50 - 8 * 16 = 50 - 8 = 38.

Tags

CCSS.7.NS.A.3

Front

How do you simplify the expression: -8 + (6 - 9) ÷ 3?

Back

First, calculate (6 - 9) = -3, then -3 ÷ 3 = -1, and finally -8 + (-1) = -9.

Tags

CCSS.7.NS.A.3

Front

What is the value of -42 ÷ (-6) + 5 - 8?

Back

The value is 4. First, -42 ÷ -6 = 7, then 7 + 5 = 12, and finally 12 - 8 = 4.

Tags

CCSS.7.NS.A.3

Front

What does 'multiplication' mean in the context of Order of Operations?

Back

Multiplication is one of the basic arithmetic operations. In the Order of Operations, multiplication is performed after parentheses and exponents, but before addition and subtraction.

Tags

CCSS.7.EE.B.3

Front

What is the result of the expression: -3(-5) - 16?

Back

The result is -1. First, -3 * -5 = 15, then 15 - 16 = -1.

Tags

CCSS.7.EE.B.3

Front

What is the first step in solving the expression: 50 - 16 ÷ 2 * (12 + 4)?

Back

The first step is to solve the expression inside the parentheses: (12 + 4) = 16.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

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

Back

Addition and subtraction are performed from left to right after multiplication and division. They are of equal priority.

Tags

CCSS.7.EE.B.3

Front

What is the result of the expression: 8 + 2 * 5?

Back

The result is 18. First, perform the multiplication: 2 * 5 = 10, then add: 8 + 10 = 18.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2