operation with decimals

operation with decimals

1. Decimal representation

   • 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).

2. Terminating decimals and repeating decimals

   • 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.

3. Repeating block

   • 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.

4. Converting Repeating Decimals to Fractions

5. Decimals and Fractions

6. Decimals and percents