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 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 operation should be performed first in the expression (12 + 10) ÷ 10 x 14 - 6?

Back

Addition should be performed first, according to the Order of Operations.

Front

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

Back

The result is 8.

Front

In the expression 2 + 2 x 2, which operation is performed first?

Back

Multiplication is performed first, resulting in 2 + 4 = 6.

Front

What is the result of the expression 2 x 9 ÷ 3?

Back

The result is 6.

Front

How do you evaluate the expression 23 + (30 ÷ 10) x 4?

Back

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

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

Why is it important to follow the Order of Operations?

Back

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

Front

What is the result of the expression 5 + 2 x 3?

Back

The result is 11, because multiplication is performed before addition.

Front

In the expression 8 - 4 + 2, which operation is performed first?

Back

Both subtraction and addition are performed from left to right, so 8 - 4 = 4, then 4 + 2 = 6.