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 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.

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply a base number by itself. For example, in 3², 3 is the base and 2 is the exponent, meaning 3 x 3.

Front

Calculate: (2 + 3)²

Back

(2 + 3)² = 5² = 25.

Front

What operation do you perform first in the expression 8 + 2 × 3?

Back

You perform multiplication first: 2 × 3 = 6, then add: 8 + 6 = 14.

Front

Solve: 5 + 2 × (3 + 4)

Back

5 + 2 × 7 = 5 + 14 = 19.

Front

What is the result of 4² + 3 × 2?

Back

4² + 3 × 2 = 16 + 6 = 22.

Front

In the expression 10 - (2 + 3) × 2, what do you calculate first?

Back

You calculate the expression in parentheses first: (2 + 3) = 5.

Front

What is the value of 3 + 4 × 2 - 1?

Back

3 + 4 × 2 - 1 = 3 + 8 - 1 = 10.

Front

What is the second step in solving (6 - 2) × 5 + 3?

Back

The second step is multiplication: 4 × 5 = 20.