Order of Operations with Exponents Flashcard

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 an exponent represent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself. For example, 3^4 means 3 multiplied by itself 4 times: 3 × 3 × 3 × 3 = 81.

Front

Calculate: 2^3

Back

2^3 = 2 × 2 × 2 = 8.

Front

What is the result of 5 - 3 + 2 using the Order of Operations?

Back

According to the Order of Operations, you should perform subtraction first: 5 - 3 = 2, then add 2: 2 + 2 = 4.

Front

What is the equivalent of 3^4?

Back

3^4 = 3 × 3 × 3 × 3 = 81.

Front

Rewrite 6^3 in multiplication form.

Back

6^3 = 6 × 6 × 6.

Front

What is the value of (15 ÷ 3)^2 + 9 ÷ 3?

Back

(15 ÷ 3)^2 + 9 ÷ 3 = 5^2 + 3 = 25 + 3 = 28.

Front

What is the first step in solving the expression 4 + 2 × (3 - 1)?

Back

The first step is to solve the expression inside the parentheses: (3 - 1) = 2.

Front

What is the result of 10 - 2 × 3 + 4?

Back

According to the Order of Operations, first do multiplication: 2 × 3 = 6, then perform addition and subtraction from left to right: 10 - 6 + 4 = 8.

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).