Order of Operations with Exponents

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 the term 'exponent' mean?

Back

An exponent is a number that shows how many times a base number is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times: 2 x 2 x 2.

Front

Evaluate: 3 + 4 × 2

Back

11 (First, multiply 4 × 2 = 8, then add 3: 3 + 8 = 11).

Front

True or False: 5^2 is the same as 5 x 2.

Back

False (5^2 means 5 x 5, not 5 x 2).

Front

What is the result of 6^2 - 2^3?

Back

34 (6^2 = 36 and 2^3 = 8, so 36 - 8 = 28).

Front

Evaluate: 2 × (3 + 5) - 4

Back

12 (First, calculate inside the parentheses: 3 + 5 = 8, then multiply: 2 × 8 = 16, and finally subtract: 16 - 4 = 12).

Front

What is the value of 4^3?

Back

64 (4^3 means 4 x 4 x 4 = 64).

Front

Evaluate: (8 - 3) × 2 + 6

Back

16 (First, calculate inside the parentheses: 8 - 3 = 5, then multiply: 5 × 2 = 10, and finally add: 10 + 6 = 16).

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). It helps remember the order of operations.

Front

Evaluate: 10 - 2 × 3 + 4

Back

8 (First, multiply: 2 × 3 = 6, then perform addition and subtraction from left to right: 10 - 6 + 4 = 8).