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A rational number is a number that can be expressed as a fraction. It can also be represented by decimal numbers that are either terminating or repeating.
Long division method is one way of converting rational numbers to decimal numbers. The quotient of long division method is in a decimal form that either terminates in zeros or eventually repeats.
Decimal Representations of Rational Numbers
- All repeating and terminating decimal numbers are rational numbers.
- Rational numbers can be easily represented by decimals just by dividing the numerator by the denominator.
Terminating decimal – decimal representation that contains finite decimal numbers after the decimal point.
Repeating decimal – also called recurring decimal. Decimal representation that repeats infinitely. A bar ( ) above the number indicates that the number repeats and doesn’t end.
½ = 0.5
⅓ = 0.3333333
Converting Rational Numbers to Decimals Using Long Method Worksheets
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