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:

• Compare numbers
  Compare the numbers: 0.327 and 0.0895 (which is bigger and which is smaller?)
• 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?
• Compare three fractions
  Which of the three rational numbers is the largest? 1/7, 6/17, 4/17

• Sum of absolute values
  Is it possible for |r| + |s| = |r+s|? If so, when?
• According 7038
  When students are ranked according to height, Katka is 12th Front and 17th Back. How many children are in the class?
• Medicament
  Many manufacturers produce the same type of medicament in various packages with different active substance content. Pack 1: includes 60 pills of 600 mg of active substance per pack cost 31.5 Eur. Pack 2: includes 100 tablets of 1200 mg of active substance

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