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:

• Four-digit number creation
  How many 4-digit numbers to two decimal places do we create when we use the numbers 7, 5, 0, 3
• Decimal places
  How many decimal places would the product of 2.79 and 0.0043 have?
• Dinesh
  Dinesh ate three cookies, each weighing 1.45 g. What was the total mass of the cookies he ate?
• Chocolate weekly cost
  Hot chocolate costs 80 cents. How much money do you need to buy chocolate every day of the week?
• Double 5
  Peter was thinking of a number. Peter doubles it and gets an answer of 8.6. What was the original number?
• Result from factoring
  Calculate the second factor if one factor is 0.8, and the resulting product is 8
• A student 7
  A student was asked to multiply 43.407 by 100. However, he multiplied the decimal fraction by 1000. What is the difference between both the products?

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