Order of Operations

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 used to remember the order 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 3 + 4 x 6 - 4?

Back

The first step is to perform multiplication, so you would calculate 4 x 6 first.

Front

In the expression 15 + 7 × 2 – 11 + 35, which operation should be performed first?

Back

The multiplication (7 × 2) should be performed first according to the Order of Operations.

Front

How do you simplify the expression 14 + [ (16-7) + 4²]?

Back

First, calculate the expression inside the parentheses (16-7), then calculate 4², and finally add the results together with 14.

Front

What is the result of the expression 24 x (4-2) ÷ 6?

Back

The result is 8. First, calculate (4-2) = 2, then 24 x 2 = 48, and finally 48 ÷ 6 = 8.

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, leading to the correct answer.

Front

What is the value of 4² in the expression 14 + [ (16-7) + 4²]?

Back

The value of 4² is 16.

Front

In the expression 16 + [ 3 x (9-6)²], what operation is performed first?

Back

The operation performed first is the calculation of (9-6), followed by squaring the result.

Front

What is the result of the expression 3 + 4 x 6 - 4 when following the Order of Operations?

Back

The result is 19. First, calculate 4 x 6 = 24, then 3 + 24 - 4 = 23.