Distributive Property and Order of Operations

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

How do you apply the Distributive Property to 5(3 + 2)?

Back

5(3 + 2) = 5(3) + 5(2) = 15 + 10 = 25.

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: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

Which of the following is an equation: 'Four times n is 24' or 'Three less than twice a'?

Back

'Four times n is 24' is an equation because it states that 4n = 24.

Front

What is the first step in solving 24 - 3 ÷ (6 - 3)?

Back

The first step is to solve the parentheses: 6 - 3 = 3.

Front

What do you do after solving parentheses in an expression?

Back

After solving parentheses, you perform any multiplication or division from left to right.

Front

What is the prime factorization of a number?

Back

The prime factorization of a number is the expression of that number as a product of its prime factors.

Front

What is the prime factorization of 130?

Back

The prime factorization of 130 is 2 x 5 x 13.

Front

How can you express 5(3 + 2) using the Distributive Property?

Back

5(3 + 2) can be expressed as 5(3) + 5(2).