Questions and Answers
Which type of decimal form represents a rational number when the division of the numerator by the denominator results in a remainder of zero?
Terminating decimal form
What happens when we use decimal fractions to represent a rational number?
The decimal representation becomes a terminating decimal
What is the other name for a non-terminating recurring decimal form?
Repeating decimal form
Which of the following rational numbers is equivalent to 9 37 in decimal form?
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What is the decimal form of the rational number 18 42?
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What is the decimal form of the rational number -11 13?
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Which of the following rational numbers is equivalent to $9/37$ in decimal form?
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What is the decimal form of the rational number $18/42$?
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What is the decimal form of the rational number $-103/5$?
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Study Notes
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.
