Order of Operations with 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 evaluate expressions inside Parentheses.

Front

What is the second step in the order of operations?

Back

The second step is to evaluate Exponents.

Front

In the expression 7 + (12-3)², what operation do you perform first?

Back

You perform the operation inside the parentheses first: (12-3) = 9.

Front

What is the result of evaluating the exponent in the expression 7 + (12-3)²?

Back

The result is 7 + 9² = 7 + 81 = 88.

Front

In the expression (4-2) x 9 + 7, what operation do you perform second?

Back

You perform multiplication second: (4-2) = 2, then 2 x 9 = 18.

Front

What does the M and D in PEMDAS represent?

Back

M stands for Multiplication and D stands for Division.

Front

In the expression 10 ÷ 2 · 4 + 6, what is the correct order of operations?

Back

First, divide: 10 ÷ 2 = 5; then multiply: 5 · 4 = 20; finally, add: 20 + 6 = 26.

Front

What is the result of 12 + 10 ÷ 10 · 14 - 6?

Back

First, do the addition: 12 + 10 = 22; then divide: 22 ÷ 10 = 2.2; then multiply: 2.2 · 14 = 30.8; finally, subtract: 30.8 - 6 = 24.8.

Front

What is the difference between multiplication and division in PEMDAS?

Back

Multiplication and division are performed from left to right, depending on which comes first in the expression.