Decimal calculator

This calculator makes 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:

• Resulting 5260
  Calculate the second factor if one factor is .0.8, and the resulting product is 8
• Parcel service
  A parcel from the U.S. to Slovakia costs 5.3 €, and a parcel from Slovakia to the U.S. costs 49 €. Calculate how many times Slovak Post is more expensive than the U.S. parcel service.
• 2/3 write
  2/3 write it in an equivalent decimal
• Identify 4
  Identify the whole number whose reciprocal has a decimal equivalent between 0.2 and 0.3. Explain.
• The quotient of two numbers
  Find the quotient of 229.12 and 12.32
• Quotient of two numbers
  Find the quotient of 11/8 correct to the first place of the decimal.
• Apples 4675
  How many kilograms of apples would you buy for 300 euros if the kilo costs 0.90 euros?

more math problems »