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:

• Expression - decimals
  Specify the value of the expression with decimal numbers: (4.416356) -7.152+ (74.855) =?
• Compare numbers
  Compare the numbers: 0.327 and 0.0895 (which is bigger and which is smaller?)
• Whole numbers
  Pavol wrote down a number that is both rational and a whole number. What is one possible number she could have written down?
• Unknown number x
  If I multiply the unknown number by 4 and subtract 8.4 from the result, I get the same number as if I multiply the unknown number by 3 and add 15.1 to the result. Determine the unknown number. Write the result as a decimal.
• Ted spent
  Ted spent $20.75 on lunch and $56.23 on gas. If he started with $100, how much does he have now?
• 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?

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