Operations with Decimals - created from Mind Map

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Decimal representation

Terminating decimals and repeating decimals

Repeating block

Converting Repeating Decimals to Fractions

Decimals and Fractions

Decimals and percents

A decimal is used to represent a portion of whole. It contains three parts: an integer (which indicates the number of wholes), a decimal point (which separates the integer on the left from the decimal on the right), and a decimal number (which represents a number between 0 and 1).

Any rational number can be expressed as either a terminating decimal or a repeating decimal.

A rational number a/b in lowest terms results in a repeating decimal if a prime other than 2 or 5 is a factor of the denominator.

If the denominator has only 2 and 5 as its factors, this fraction can become a terminating decimal.

If the denominator has only factors other than 2 and 5, then this fraction can become repeating decimal.