Arithmetic calculators
86 free calculators for everyday math. Each shows step-by-step solutions.
Fractions & decimals
- Fraction calculator— Add, subtract, multiply, divide fractions and mixed numbers
- Decimal to fraction— Convert any decimal to a fraction in simplest form
- Ratio & proportion— Simplify ratios and solve proportions
- Reciprocal (1/x)— Find the multiplicative inverse of any number
- Repeating decimal checker— Check if a fraction gives a repeating decimal
- Terminating decimal checker— Check if a fraction terminates or repeats
- Decimal places counter— Count digits after the decimal point
Percentages
- Percentage calculator— Find percentages, percent of a number
- Percentage change— Calculate % increase or decrease between two values
- Percentage increase— Increase a value by a given percentage
- Percentage decrease— Decrease a value by a given percentage
- Discount calculator— Find sale price after applying a percentage discount
- Tip calculator— Calculate tip amount and total bill
- Markup calculator— Calculate selling price from cost + markup %
- Sales tax calculator— Tax amount and total price after tax
Finance
- Compound interest— Calculate how money grows with compound interest
- Simple interest— Calculate interest using I = P × r × t
- Future value— FV = PV × (1+r)ⁿ — investment growth
- Present value— How much to invest today for a future goal
- NPV (net present value)— Total present value of future cash flows
- IRR (internal rate of return)— Discount rate where NPV = 0
- Loan calculator— Monthly payment, total interest, amortization
- ROI calculator— Return on investment percentage and profit
- Depreciation— Straight-line depreciation and book value
- Annuity calculator— Annuity payments, present and future value
- Break even— Units needed to cover fixed costs
Statistics
- Five number summary— Min, Q1, median, Q3, max
- Quartile calculator— Find Q1, Q2, Q3 for any data set
- IQR (interquartile range)— Spread of the middle 50% of data
- Outlier calculator— Detect outliers using 1.5×IQR rule
- Geometric mean— Nth root of the product — for growth rates
- Harmonic mean— Reciprocal of mean of reciprocals — for rates
- Weighted mean— Average with different weights per value
- RMS (root mean square)— Quadratic mean — for AC voltage, signal power
- Percentile calculator— Find the value at any percentile
- Percentile rank— What percentile does this value fall at?
- Midrange— Average of min and max
- Skewness— Measure distribution asymmetry
- Kurtosis— Measure distribution tailedness
- Correlation coefficient (r)— Strength of linear relationship between X and Y
- Covariance— How two variables change together
- Normal CDF— P(Z ≤ z) area under bell curve
- Normal PDF— Bell curve height f(x) at any point
- Expected value E(X)— Long-run average of a random variable
- Bayes' theorem— P(A|B) from prior probability and evidence
- Conditional probability— P(A|B) = P(A∩B)/P(B)
Number operations
- Square root— Square roots, cube roots, and nth roots
- Nth root— Calculate ⁿ√x for any n
- Exponent calculator— Powers and exponents step by step
- Power (aⁿ)— Calculate any base to any exponent
- Powers of a number— Generate n¹, n², n³, ... table
- Modulo (remainder)— a mod b — remainder after division
- Absolute value— |x|, factorial, reciprocal
- Reciprocal (1/x)— Multiplicative inverse
- Ceiling ⌈x⌉— Round up to nearest integer
- Floor ⌊x⌋— Round down to nearest integer
- Divisibility checker— Is a number divisible by another?
- Long division— Step-by-step with remainder and decimal
- Long multiplication— All partial products shown
- Rounding— Round to any decimal place
- Significant figures— Count and round to sig figs
- Compare numbers— Which is greater? Difference and ratio
- Sort numbers— Ascending or descending order
- Max & min— Find the largest and smallest values
- Sum (1 to n)— Gauss formula: n(n+1)/2
- Product (a to b)— Multiply a range of integers
Number formats & bases
- Scientific notation— Convert to and from scientific notation
- Base converter— Binary, octal, decimal, hex conversion
- Binary calculator— Binary arithmetic and conversion
- Hex to decimal— Convert hexadecimal to decimal
- Octal to decimal— Convert octal (base 8) to decimal
- Roman numerals— Convert between Roman and decimal
- Number to words— Convert numbers to English words
- Place value— Place value chart and expanded form
- Expanded form— 3456 = 3000 + 400 + 50 + 6
- Trailing zeros— Count trailing zeros in a number
Combinatorics
- Combinatorics— Permutations, combinations, factorials
- Binomial coefficient C(n,k)— "n choose k" calculation
- Pascal's triangle— Generate rows of binomial coefficients
Date & time
- Date calculator— Days between dates, add/subtract days
- Age calculator— Exact age in years, months, and days
- Day of week— What day was any date?
- Leap year checker— Is this year a leap year?
Fun tools
- Coin flip simulator— Virtual coin toss
- Dice roller— Roll virtual dice
- Set operations— Union, intersection, difference
- Times table— Multiplication table for any number
What is arithmetic?
Arithmetic is the branch of mathematics dealing with numbers and basic operations — addition, subtraction, multiplication, and division. It forms the foundation for all higher math.
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