Decimal Calculator



The result:

3 + 7{4 + 3[2-(8 - 4)×3] + 5}×2 = -291

Spelled out: minus two hundred ninety-one.

Calculation steps

  1. Subtract: 8 - 4 = 4
  2. Multiply: the result of step No. 1 * 3 = 4 * 3 = 12
  3. Subtract: 2 - the result of step No. 2 = 2 - 12 = -10
  4. Multiply: 3 * the result of step No. 3 = 3 * (-10) = -30
  5. Add: 4 + the result of step No. 4 = 4 + (-30) = 4 - 30 = -26
  6. Add: the result of step No. 5 + 5 = -26 + 5 = -21
  7. Multiply: 7 * the result of step No. 6 = 7 * (-21) = -147
  8. Multiply: the result of step No. 7 * 2 = -147 * 2 = -294
  9. Add: 3 + the result of step No. 8 = 3 + (-294) = 3 - 294 = -291
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:



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