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 operations should be 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 · 14 - 6?

Back

Addition (inside the parentheses) should be performed first.

Front

What is the result of the expression 6^3 - 10 ÷ 5?

Back

The result is 214.

Front

Are the expressions (6 - 4) - 1 and 6 - (4 - 1) equal?

Back

No, they are not equal.

Front

How do you solve the expression (2 + 7 - 1) ÷ 2^2?

Back

First, calculate inside the parentheses: (2 + 7 - 1) = 8. Then, calculate 2^2 = 4. Finally, divide: 8 ÷ 4 = 2.

Front

What is the result of the expression 11^2 - 8 · 7 + 2?

Back

The result is 67.

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 is crucial to ensure that mathematical expressions are evaluated correctly and consistently.

Front

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

Back

Multiplication and division are performed from left to right, meaning that if both operations appear in the same expression, you perform them in the order they appear.

Front

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

Back

Addition and subtraction are also performed from left to right, similar to multiplication and division.