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?)
• Tourists 82400
  On the first day, tourists covered 3/14 of the planned route, on the second day 1/3 of the route, and on the third day 8/21 of the route. On which day did they walk the longest part of the route (1,2,3)?
• A+B+C=one hundred
  A+B+C=100. If A=27.5 and the value of B are between 10 and 15 and which has two decimal places, then what can be the greatest value of C?
• Comparing and sorting
  Arrange in descending order these fractions: 2/7, 7/10 & 1/2
• Fractions
  Sort fractions z₁ = (20)/(9); z₂ = (10)/(21); z₃ = (15)/(14) by their size. The result writes as three serial numbers 1,2,3.
• Compare
  Compare fractions (34)/(3) and (12)/(4). Which fraction of the lower?
• Distribution 73724
  The distribution of the random variable X is given in the following table. Calculate P[X is odd], E[X] and P[1<X≤6] Probability distribution table: xi; 1; 2; 3 ; 4; 5; 6; 7; 8; 9 pi; 0.30; 0.12; 0.18; 0.10; 0.07; 0.07; 0.06; 0.05; 0.05

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