Order of Operations

Front

What is the Order of Operations in mathematics?

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 is often used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the acronym PEMDAS stand for?

Back

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

Front

In the expression 3 × 10 + 8 - 4², what operation should be performed first?

Back

The first operation to perform is the exponentiation, which is 4².

Front

How do you simplify the expression 200 - 5·2³?

Back

First, calculate the exponent: 2³ = 8. Then, multiply: 5·8 = 40. Finally, subtract: 200 - 40 = 160.

Front

What is the base in the expression 2³ = 8?

Back

The base is 2.

Front

In the expression 18 - 4 × 2, which operation should be performed first?

Back

The multiplication should be performed first, so calculate 4 × 2 = 8, then subtract: 18 - 8 = 10.

Front

What is the first step in solving the expression 3 + 4 × 6 - 4?

Back

The first step is to perform the multiplication: 4 × 6 = 24.

Front

What is the result of the expression 3 × 10 + 8 - 4²?

Back

The result is 22.

Front

Why is it important to follow the Order of Operations?

Back

Following the Order of Operations is crucial to ensure that mathematical expressions are evaluated correctly and consistently.

Front

What is the result of the expression 5 + 2 × (3 + 1)?

Back

First, solve the parentheses: 3 + 1 = 4. Then, multiply: 2 × 4 = 8. Finally, add: 5 + 8 = 13.