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.
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:
- Expression - decimals
Specify the value of the expression with decimal numbers: (4.416356) -7.152+ (74.855) =?
- Compare numbers
Compare the numbers: 0.327 and 0.0895 (which is bigger and which is smaller?)
- My whole
My whole number is 88 if you add 5 thousandths, 8 tenths, and 7 thousandths. What number will I be?
- Decimal number
I am a decimal number between 0.3 and 0.5. the digit in my hundredth place is five more than the digit in tenth place, off the number in tenth place is 4. What is the number?
- Tenths digit
For 10.932, which digit is in the tenth place?
- Rolls
Mom bought 13 rolls. Dad ate 3.5 rolls. How many rolls were left when Peter ate two at dinner?
- Ross is
Ross is using his understanding of place value to divide the decimal 72.56 by the decimal 0.2 Which of the division problems shown could he solve to give him the same answer? A. 7,256 divided by 0.2. B. 725.6 divided by 2. C. 72.56 divided by 2. D. 7,256
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