Orders of Operations with Decimals

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 helps remember the order: 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 'parentheses' mean in the context of order of operations?

Back

Parentheses are symbols used to group numbers and operations together. Calculations inside parentheses are performed first.

Tags

CCSS.7.NS.A.3

Front

What is the role of multiplication in the order of operations?

Back

Multiplication is performed after parentheses and exponents, but before addition and subtraction. It is done from left to right.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the role of division in the order of operations?

Back

Division is performed after parentheses and exponents, but before addition and subtraction. It is done from left to right.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

What is the role of addition in the order of operations?

Back

Addition is performed after parentheses, exponents, multiplication, and division. It is done from left to right.

Tags

CCSS.7.EE.B.3

Front

What is the role of subtraction in the order of operations?

Back

Subtraction is performed after parentheses, exponents, multiplication, and division. It is done from left to right.

Tags

CCSS.7.EE.B.3

Front

Solve: 50 − 16 ÷ 2 ∗ (12 + 4)

Back

The answer is 50 − 8 ∗ 16 = 50 − 128 = -78.

Tags

CCSS.7.NS.A.3

Front

Solve: 3[2.5 + (5.3 - 3.9)]

Back

The answer is 3[2.5 + 1.4] = 3[3.9] = 11.7.

Tags

CCSS.7.NS.A.3

Front

Solve: 3(5⋅9.2+4) - 85

Back

The answer is 3(46.6) - 85 = 139.8 - 85 = 54.8.

Tags

CCSS.7.NS.A.3

Front

Solve: 0.2(18) + 24

Back

The answer is 3.6 + 24 = 27.6.

Tags

CCSS.7.NS.A.3