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 is often used: 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 Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Tags

CCSS.6.EE.A.1

Front

Evaluate: 5 + 2 × 3

Back

11 (First, multiply 2 × 3 = 6, then add 5 + 6 = 11).

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

Evaluate: (8 + 2) × 5

Back

50 (First, add 8 + 2 = 10, then multiply 10 × 5 = 50).

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the result of 10 - 3 + 2?

Back

9 (Perform subtraction and addition from left to right: 10 - 3 = 7, then 7 + 2 = 9).

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

Evaluate: 6 ÷ 2(1 + 2)

Back

9 (First, solve inside the parentheses: 1 + 2 = 3, then 6 ÷ 2 × 3 = 3 × 3 = 9).

Tags

CCSS.7.NS.A.3

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, in 3², 3 is the base and 2 is the exponent, meaning 3 × 3.

Tags

CCSS.6.EE.A.1

Front

Evaluate: 4² + 3 × 2

Back

16 (4² = 16) + 6 (3 × 2 = 6) = 22.

Tags

CCSS.6.EE.A.1

Front

What is the difference between multiplication and division?

Back

Multiplication is combining equal groups, while division is splitting into equal parts. For example, 4 × 3 = 12 (4 groups of 3) and 12 ÷ 3 = 4 (splitting 12 into 3 equal parts).

Tags

CCSS.4.NBT.B.6

Front

Evaluate: 7 + (6 ÷ 2) × 3

Back

16 (First, solve inside the parentheses: 6 ÷ 2 = 3, then 3 × 3 = 9, and finally 7 + 9 = 16).

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2