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:

• One-fifth
  What is 1/5 as a decimal? Round your answer to three decimal places.
• Lowest terms
  Reduce to the lowest terms: 32/124
• Ratio v2
  Decrease in the ratio 8:16 number 20.2.
• The sum 49
  The sum of two rational numbers is -5. If one of them is -13/6, find the other.
• Result from factoring
  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 5.2 €, and a parcel from Slovakia to the U.S. costs 44 €. Calculate how many times Slovak Post is more expensive than the U.S. parcel service.
• Homework
  In the crate are 18 plums, 27 apricot, and 36 nuts. How many pieces of fruit were left in the crate when Peter took 6 ninth: 1. nuts 2. apricots 3. fruit 4. drupe

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