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 acronym PEMDAS is often used to remember the order: 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 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

How do you simplify the expression 75 ÷ 5 × 9 – 9?

Back

First, perform the division (75 ÷ 5 = 15), then multiplication (15 × 9 = 135), and finally subtraction (135 - 9 = 126).

Front

True or False: In the expression 2 + (4 x 5 - 2) + 8, the operations inside the parentheses should be completed first.

Back

True. According to the Order of Operations, calculations inside parentheses are performed first.

Front

What is the result of the expression (2 + 7 - 1) ÷ 2²?

Back

First, calculate inside the parentheses (2 + 7 - 1 = 8), then calculate the exponent (2² = 4), and finally divide (8 ÷ 4 = 2).

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) before addition and subtraction.

Front

What is the importance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first, helping to clarify the order of calculations.

Front

How do you handle multiple operations of the same rank, such as addition and subtraction?

Back

When handling multiple operations of the same rank, perform them from left to right.

Front

What is the result of the expression 10 - 2 + 3?

Back

The result is 11, calculated by performing the operations from left to right: (10 - 2 = 8, then 8 + 3 = 11).