Order of Operations Problems

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 common acronym to remember this is PEMDAS: 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: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Front

What is the first step in solving the expression 5 + 3 x 2?

Back

The first step is to perform the multiplication: 3 x 2 = 6, then add 5 + 6 = 11.

Front

Solve the expression: 8 - 2 + 4.

Back

First, subtract: 8 - 2 = 6, then add: 6 + 4 = 10.

Front

Back

First, perform multiplication: 4 x 6 = 24. Then, add and subtract: 3 + 24 - 4 = 23.

Front

Back

First, calculate inside the parentheses: 2 x 4 = 8, then 1 + 8 = 9. Now divide: 27 ÷ 9 = 3.

Front

Back

First, calculate inside the parentheses: 7 - 4 = 3. Then multiply: 7 x 3 = 21. Finally, divide: 21 ÷ 3 = 7.

Front

What is the error in the calculation: 5 - 3 + 2 = 5 - 5 = 0?

Back

The error is that addition was done first instead of subtraction. The correct order is to subtract first: 5 - 3 = 2, then add 2.

Front

What is the first operation to perform in the expression 23 + (30 ÷ 10) x 4?

Back

The first operation is to calculate inside the parentheses: 30 ÷ 10 = 3.

Front

Back

First, calculate inside the parentheses: 30 ÷ 10 = 3. Then multiply: 3 x 4 = 12. Finally, add: 23 + 12 = 35.