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:

• Compare numbers
  Compare the numbers: 0.327 and 0.0895 (which is bigger and which is smaller?)
• From least to greatest
  Which set of rational numbers is arranged from least to greatest? A) -3.5, negative 1 over 4, 2, 1 over 3 B) -3.5, negative 1 over 4, 1 over 3, 2 C) 2, 1 over 3, negative 1 over 4, -3.5 D) negative 1 over 4, 1 over 3, 2, -3.5
• A decimal number
  I am a decimal number between 0.300 and 0.400. My hundredth digit is 3, and my tenth digit is 8. What number am I?
• Three friends
  You and your friends are playing basketball. You make 7 out of 15 shots. Your first friend makes 6 out of 10 shots, and your second friend makes 5 out of 12 shots. Who is the better shooter (write a, b, c)? How would you solve the problem using what you k
• Tourist route longest
  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?
• 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.

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