Properties/Order of Operations/Expressions

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. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the commutative property of addition state?

Back

The commutative property of addition states that changing the order of the addends does not change the sum. For example, 4 + 3 = 3 + 4.

Front

What is the additive identity?

Back

The additive identity is the number 0. When you add 0 to any number, the sum is that number. For example, 5 + 0 = 5.

Front

What is the zero property of multiplication?

Back

The zero property of multiplication states that any number multiplied by 0 equals 0. For example, 7 × 0 = 0.

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 by distributing the multiplication to each addend.

Front

Evaluate: 5 + 3 × 2

Back

According to the order of operations, you multiply first: 3 × 2 = 6, then add: 5 + 6 = 11.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operators without an equality sign. An equation is a statement that two expressions are equal, indicated by an equality sign.

Front

Solve: 2(3 + 4) - 5

Back

First, solve inside the parentheses: 3 + 4 = 7. Then multiply: 2 × 7 = 14. Finally, subtract: 14 - 5 = 9.

Front

What does the associative property of addition state?

Back

The associative property of addition states that the way in which numbers are grouped does not change their sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

Evaluate: 6 - (2 + 1) × 2

Back

First, solve inside the parentheses: 2 + 1 = 3. Then multiply: 3 × 2 = 6. Finally, subtract: 6 - 6 = 0.