Order of Operations with Parentheses and Exponents

Front

What does PEMDAS stand for?

Back

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

Front

What is the first step in the order of operations?

Back

The first step is to solve expressions inside parentheses.

Front

What does the (E) in PEMDAS represent?

Back

The (E) in PEMDAS represents Exponents.

Front

What is an exponent?

Back

An exponent is a number that shows how many times to multiply the base number by itself.

Front

In the expression 4^3, what is the base and what is the exponent?

Back

The base is 4 and the exponent is 3.

Front

What operation should be performed first in the expression 8 × (5 + 3) − 12 ÷ 4?

Back

Addition inside parentheses.

Front

What is the result of 5 + 2 × (4^2 − 6)?

Back

The result is 5 + 2 × (16 - 6) = 5 + 2 × 10 = 5 + 20 = 25.

Front

How do you simplify the expression 3 × (2 + 5)^2 − 8?

Back

First, calculate (2 + 5) = 7, then (7)^2 = 49, so 3 × 49 - 8 = 147 - 8 = 139.

Front

What is the value of 2^5?

Back

The value of 2^5 is 32.

Front

In the expression 6 + 2 × 3^2, which operation do you perform first?

Back

You perform the exponentiation first: 3^2 = 9.