Order of Operations and Properties of Operations

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 acronym PEMDAS helps 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, Division, Addition, and Subtraction. It is the order in which operations should be performed in a mathematical expression.

Front

Calculate: 5 + 3 × 2

Back

5 + 3 × 2 = 5 + 6 = 11 (Multiplication first, then addition).

Front

Calculate: (4 + 6) × 2

Back

(4 + 6) × 2 = 10 × 2 = 20 (Parentheses first).

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in an addition problem does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 5 = 5 + 3.

Front

Calculate: 12 - (3 + 2)

Back

12 - (3 + 2) = 12 - 5 = 7 (Parentheses first).

Front

Calculate: 2^3 + 4

Back

2^3 + 4 = 8 + 4 = 12 (Exponents first).

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

Front

Calculate: 3(2 + 4)

Back

3(2 + 4) = 3 × 6 = 18 (Distributive Property).