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:

• Compare numbers
  Compare the numbers: 0.327 and 0.0895 (which is bigger and which is smaller?)
• Simplest form of a fraction
  Which one of the following fractions is not equal to 3/2 after reducing to the simplest form? a) 15/20 b) 12/8 c) 27/18 d) 6/4
• Without 2
  Tell whether the product 0.644 x 0.25 will be greater than one or less than 1 without multiplying. Explain how you know. Then, find the product.
• Paper collecting
  At the paper collecting contest, Franta gathered 2/9 tons, Karel 1/4 tons, and Patrick 19/36 tons of paper. Who has gathered the most and the least?
• Percentage comparison paradox
  Can it be 1%>2%? Can't it be nonsense and a denial of the law of mathematics, yet 119 out of 120 people say so?
• Compare three fractions
  Which of the three rational numbers is the largest? 1/7, 6/17, 4/17
• Two hotels
  The total cost for a hotel room varies directly with the number of nights you stay. At hotel A, three nights cost a total of P6000. At hotel B, a five-night stay costs a total of P9000. If you will stay for four nights which hotel has a cheaper cost?

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