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

Tags

CCSS.7.NS.A.3

Front

What does PEMDAS stand for?

Back

PEMDAS stands for: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Tags

CCSS.6.EE.A.1

Front

Why is it important to follow the order of operations?

Back

Following the order of operations is crucial because it ensures that mathematical expressions are evaluated consistently and correctly, leading to the same result regardless of who performs the calculation.

Tags

CCSS.7.NS.A.3

Front

In the expression 5 - 3 + 2, what operation should be performed first according to the order of operations?

Back

Subtraction should be performed first, resulting in 5 - 3 = 2, and then addition is performed: 2 + 2 = 4.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

Calculate the result of (7 + 41) ÷ 2 – 15.

Back

First, calculate the parentheses: 7 + 41 = 48. Then divide: 48 ÷ 2 = 24. Finally, subtract: 24 - 15 = 9.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the result of the expression 30 + 16 ÷ 2?

Back

According to the order of operations, divide first: 16 ÷ 2 = 8. Then add: 30 + 8 = 38.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

Evaluate the expression 24 ÷ 6 × 2 ÷ 4.

Back

First, divide: 24 ÷ 6 = 4. Then multiply: 4 × 2 = 8. Finally, divide: 8 ÷ 4 = 2.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

In the expression (12 + 10) ÷ 10 × 14 - 6, which operation is performed first?

Back

The first operation is addition: (12 + 10) = 22.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the result of the expression 5 - 3 + 2 if the order of operations is not followed?

Back

If the order of operations is not followed, one might incorrectly perform addition first: 3 + 2 = 5, then 5 - 5 = 0.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

How do you handle multiplication and division in the order of operations?

Back

Multiplication and division are performed from left to right, meaning you do whichever comes first in the expression.

Tags

CCSS.7.NS.A.3