Order of Operations

Front

What is the Order of Operations in mathematics?

Back

The Order of Operations is a set of rules that dictates the sequence in which operations should be performed in a mathematical expression. The common acronym used to remember this 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 Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

In the expression 12 - 4 x 2, which operation should be performed first?

Back

Multiplication should be performed first, so the expression is evaluated as 12 - (4 x 2) = 12 - 8 = 4.

Front

What is the result of the expression (12 + 10) ÷ 10 x 14 - 6?

Back

First, perform the addition: (12 + 10) = 22. Then, divide: 22 ÷ 10 = 2.2. Next, multiply: 2.2 x 14 = 30.8. Finally, subtract: 30.8 - 6 = 24.8.

Front

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

Back

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

Front

How do you solve the expression 25 - 14 + 3?

Back

Follow the Order of Operations: first perform the subtraction: 25 - 14 = 11, then add 3: 11 + 3 = 14.

Front

What is the final result of the expression 15 + 7 × 2 – 11 + 35?

Back

First, perform the multiplication: 7 x 2 = 14. Then, add and subtract in order from left to right: 15 + 14 = 29, 29 - 11 = 18, and finally 18 + 35 = 53.

Front

Why is it important to follow the Order of Operations?

Back

Following the Order of Operations is crucial because it ensures that mathematical expressions are evaluated consistently and correctly, leading to the same result regardless of who performs the calculation.

Front

What is the difference between addition and multiplication in terms of Order of Operations?

Back

In the Order of Operations, multiplication is performed before addition. This means that in an expression with both operations, you must calculate the multiplication first.

Front

What is an example of an expression that requires the use of parentheses?

Back

An example is (3 + 5) x 2. The parentheses indicate that you should add 3 and 5 first before multiplying by 2.