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 this order is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

True or False: In the expression 2 + (4 x 5 - 2) + 8, you should perform addition before multiplication.

Back

False. According to the Order of Operations, multiplication should be performed before addition.

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 4 + 9 + 8 ÷ 4, which operation should be performed first?

Back

The division (8 ÷ 4) should be performed first, according to the Order of Operations.

Front

True or False: Addition always comes before subtraction in the Order of Operations.

Back

False. Addition and subtraction are performed from left to right, depending on which comes first in the expression.

Front

What is the result of the expression 2 + (9² - 4)?

Back

The result is 79. First, calculate 9² (which is 81), then subtract 4 to get 77, and finally add 2.

Front

How do you simplify the expression -2 x (3 + 8 ÷ 4)²?

Back

First, calculate 8 ÷ 4 = 2. Then, add 3 to get 5. Next, square 5 to get 25. Finally, multiply by -2 to get -50.

Front

What is the first step in solving the expression (3 + 5) x 2?

Back

The first step is to solve the expression inside the parentheses: (3 + 5) = 8.

Front

When simplifying the expression 6 + 2 x 3, what operation do you perform first?

Back

You perform multiplication first: 2 x 3 = 6, then add 6 + 6 to get 12.

Front

What is the result of the expression 5 + 3 x (2 + 4)?

Back

The result is 26. First, solve the parentheses (2 + 4 = 6), then multiply 3 x 6 = 18, and finally add 5 + 18.