What is a terminating decimal vs a repeating decimal?

A terminating decimal has a finite number of digits after the decimal point (e.g., 0.5). A repeating decimal contains digits that recur infinitely in a periodic pattern (e.g., 0.333... or 0.142857...).

How do you multiply two decimals?

Multiply them as if they were whole numbers. Then, count the total number of decimal places in both factors combined, and place the decimal point in the final answer that many positions from the right.

What are decimal place values?

Digits to the right of the decimal point represent fractions of ten: tenths (1/10), hundredths (1/100), thousandths (1/1000), and so on.

Math Tool

Decimal Calculator

A comprehensive decimals tool. Add, subtract, multiply, and divide decimals with full long division working, or convert decimals to simplified fractions and percentages.

Interactive Decimal Calculator Workspace

Live Solver

First Decimal

Operator

Second Decimal

Arithmetic Solution4.5Proof: 3.75 × 1.2 = 4.5

Mathematical Formula & Variables

Equation ModelDecimal Operations & Fractions Equivalences (e.g., 0.75 = 3/4 = 75%)

Operations are performed using standard place value arithmetic. Fractions can be converted to decimals by dividing numerator by denominator.

Variable Definitions

Symbol	Description
Decimal	A base-10 fractional representation containing a decimal point

How to Use the Decimal Calculator

Choose the operational tab: Arithmetic Operations (+ - × ÷) or Conversion Mode (Decimal to Fraction/Percentage).
For Arithmetic, enter your decimal numbers, select the operator, and calculate to see long hand operations.
For Conversion, enter any decimal (repeating decimals supported using bar notation or checkboxes) to see how it resolves into a simplified fraction.