Terminating Decimal Forms of Rational Numbers Quiz

Rational Numbers and Decimal Forms

• A rational number can be represented in decimal form when the division of the numerator by the denominator results in a remainder of zero.
• When using decimal fractions to represent a rational number, the division process may terminate (result in a remainder of zero) or repeat (result in a non-terminating recurring decimal form).
• A non-terminating recurring decimal form is also known as a periodic decimal.

Converting Rational Numbers to Decimal Form

• The rational number 9/37 is equivalent to 0.243 in decimal form.
• The rational number 18/42 is equivalent to 0.4286 in decimal form.
• The rational number -11/13 is equivalent to -0.846 in decimal form.
• The rational number -103/5 is equivalent to -20.6 in decimal form.