Order of Operation & Prime Factorization

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 'Prime Factorization' mean?

Back

Prime Factorization is the process of expressing a number as the product of its prime factors. For example, the prime factorization of 12 is 2 x 2 x 3 or 2² x 3.

Front

What is the first step in the expression (8x7-6)÷30?

Back

The first step is to perform the multiplication inside the parentheses: 8 x 7 = 56.

Front

Calculate: 2^2 + 3 x 4 - 12

Back

The answer is 4. First, calculate 2^2 = 4, then 3 x 4 = 12, and finally 4 + 12 - 12 = 4.

Front

What is a factor tree?

Back

A factor tree is a diagram used to break down a number into its prime factors. It starts with the number at the top and branches out into its factors.

Front

Find the prime factorization of 33 using a factor tree.

Back

The prime factorization of 33 is 11 x 3.

Front

What is the result of 49 ÷ 7?

Back

The result is 7.

Front

What operation should be performed first in the expression 5 + (3 x 2)?

Back

The multiplication should be performed first, so 3 x 2 = 6, then add 5 + 6 = 11.

Front

What is the prime factorization of 48?

Back

The prime factorization of 48 is 2^4 x 3.

Front

What does the acronym PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).