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 can add, subtract, multiply, and divide positive or negative decimals. 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
• dividing 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:

• The sum 49
  The sum of two rational numbers is -5. If one of them is -13/6, find the other.
• At the post office
  Maria paid three checks at the post office with a hundred-euro banknote. One for €19.95, the second for €50, and the third for €24.65. Each check was charged €1.40. How many euros did she receive?
• Money balance
  At the beginning of the month, Hector had $52.43 saved up. He then earned $16.94 doing chores and spent $20.35 at the mall. How much money does he have now?
• James 7
  James bought a pair of shoes worth 650.00 pesos. Eyeglasses that cost p 86.75 and some school supplies worth p 538.95. How much did he spend in all?
• Deposits and withdraw
  Riza made the following deposits in the bank: 1,250.90, 850.05, 1,350.25, and 890.15. She will withdraw 1,250.60 for her tuition and 265.150 for her books. How much of her money will be left?
• 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?
• Evaluate
  The division of numbers 6 and 3 increases as a by-product of the numbers 115 and 0.1.

more math problems »