Decimal calculator

This calculator performs basic and advanced operations with decimals, real numbers, and integers. It also shows detailed step-by-step information about the calculation procedures. Solve problems with two, three, or more decimals in one expression. Add, subtract and multiply decimals step-by-step. This calculator uses addition, subtraction, multiplication, or division for positive or negative decimal numbers, integers, real numbers, and whole numbers. This online decimals calculator will help you understand adding, subtracting, multiplying, or dividing decimals.

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order are:

• PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
  
• BEDMAS: Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
  
• BODMAS: Brackets, Order (or "Of"), Division, Multiplication, Addition, Subtraction.
  
• GEMDAS: Grouping symbols (brackets: (){}), Exponents, Multiplication, Division, Addition, Subtraction.
  
• MDAS: Multiplication and Division (same precedence), Addition and Subtraction (same precedence). MDAS is a subset of PEMDAS.

Important Notes:
1. Multiplication/Division vs. Addition/Subtraction: Always perform multiplication and division *before* addition and subtraction.
2. Left-to-Right Rule: Operators with the same precedence (e.g., + and -, or * and /) must be evaluated from left to right.

Examples:

• addition of decimals: - 1.5 + 2.45
• addition followed subtraction: 5 + 1 - 2
• multiplying decimals: 0.25 * 0.2
• division of a decimals: 5.2/0.5
• parenthesis: 3 + 7{4 + 3[2 - (8 - 4)×3] + 5}×2
• 2nd power and order of evaluation: 6 ^ 2 - (2 * 7 + 4 ^ 2)
• cube root: cuberoot(27)
• Convert fraction to a decimal: 3/4
• decimals and mixed numbers: 1.5 - 1 1/5

Decimals in word problems:

• Tania
  Tania bought a book for $152.75, a pen for $45.25 and a chocolate for $28.75. What amount did she spend?
• During 2
  During the 2006 Olympics, a gymnast received the following scores: 8.9, 9.2, 9.15, and 9.05. What is the sum of the gymnast's scores?
• The stationery
  20 pcs. Colored paper ₱15.00, 1/4 illustration board ₱25.50, and 1 bottle glue ₱6.25. How much does Gifty need to spend on buying materials for her project?
• Increased 71804
  Peter increased his debt by 2.10 euros by 1.2 euros. How big is his debt now?
• A+B+C=one hundred
  A+B+C=100. If A=27.5 and the value of B are between 10 and 15 and which has two decimal places, then what can be the greatest value of C?
• The sum 29
  The sum of the two numbers is 35.407. If one number is 21.7043, find the other number.
• Fruits
  Of the 41 kg of fruits Jaira had sold, 5.75 kg were mangoes, 21.5 kg were lansones, and the rest were papayas. How many kg were papayas?

more math problems »