Review: Order of Operations, Prime Factorization, and GCF

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 GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number, then identify the largest factor that appears in both lists.

Front

What is Prime Factorization?

Back

Prime Factorization is the process of breaking down a number into its prime factors, which are the prime numbers that multiply together to give the original number.

Front

What is the prime factorization of 12?

Back

The prime factorization of 12 is 2 x 2 x 3 or 2² x 3.

Front

Which is greater: 2^7 or 7^2?

Back

2^7 is greater than 7^2.

Front

What is the result of 9 + 3(3 + 4)?

Back

The result is 30. (First, calculate inside the parentheses: 3 + 4 = 7, then multiply: 3 x 7 = 21, and finally add: 9 + 21 = 30.)

Front

What is a factor of 6?

Back

A factor of 6 is a number that divides 6 without leaving a remainder. Examples include 1, 2, 3, and 6.

Front

What is the result of (7 x 5) + (6 x 4)?

Back

The result is 59. (First, calculate each multiplication: 7 x 5 = 35 and 6 x 4 = 24, then add: 35 + 24 = 59.)

Front

What is the first step in solving 9 + 3(3 + 4)?

Back

The first step is to solve the expression inside the parentheses: 3 + 4 = 7.