Intro to 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 calculations are performed. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)) is commonly used to remember this order.

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

How do you solve the expression 8 ÷ 8 + 6 × 2?

Back

First, perform the division: 8 ÷ 8 = 1. Then, perform the multiplication: 6 × 2 = 12. Finally, add the results: 1 + 12 = 13.

Front

What is the first operation to perform in the expression (12 + 10) ÷ 10 · 14 - 6?

Back

The first operation to perform is the addition inside the parentheses: 12 + 10 = 22.

Front

What is the error in the calculation 5 - 3 + 2 = 5 - 5 = 0?

Back

The error is that addition was performed before subtraction. According to the order of operations, subtraction should be done first: 5 - 3 = 2, then 2 + 2 = 4.

Front

What is the result of the expression 20 - 5 x 2?

Back

According to the order of operations, multiplication is performed before subtraction. So, first calculate 5 x 2 = 10, then 20 - 10 = 10.

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, leading to the correct answer.

Front

What is the result of the expression 3 + 4 × 2?

Back

According to the order of operations, multiplication is performed first: 4 × 2 = 8, then 3 + 8 = 11.

Front

How do you simplify the expression 6 + (2 × 3) - 4?

Back

First, calculate the expression in parentheses: 2 × 3 = 6. Then, simplify: 6 + 6 - 4 = 8.

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.