Order of Operations with Parentheses and 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 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 PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. It is the order in which operations should be performed in a mathematical expression.

Front

Solve: 3 + 5 x 2

Back

13 (First, multiply 5 x 2 = 10, then add 3.)

Front

Solve: (6 + 2) x 3

Back

24 (First, add 6 + 2 = 8, then multiply by 3.)

Front

What is an exponent?

Back

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

Front

Solve: 2^3 + 4

Back

12 (First, calculate 2^3 = 8, then add 4.)

Front

What is the result of 8 ÷ 2(2 + 2)?

Back

16 (First, solve the parentheses: 2 + 2 = 4, then calculate 8 ÷ 2 = 4, and finally multiply 4 x 4 = 16.)

Front

True or False: (5 + 3) x 2 = 16

Back

False (The correct answer is 16, but the expression equals 16 only if calculated correctly.)

Front

Which operation is performed first in the expression: 4 + (3 x 2)?

Back

Multiplication (The multiplication inside the parentheses is performed first.)

Front

Solve: 10 - (2 + 3) x 2

Back

0 (First, solve the parentheses: 2 + 3 = 5, then multiply by 2 = 10, and finally subtract: 10 - 10 = 0.)