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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?
Which type of decimal form represents a rational number when the division of the numerator by the denominator results in a remainder of zero?
- Repeating decimal form
- Infinite decimal form
- Non-terminating recurring decimal form
- Terminating decimal form (correct)
What happens when we use decimal fractions to represent a rational number?
What happens when we use decimal fractions to represent a rational number?
- The decimal representation becomes a repeating decimal
- The decimal representation becomes a terminating decimal (correct)
- The decimal representation becomes a whole number
- The decimal representation becomes irrational
What is the other name for a non-terminating recurring decimal form?
What is the other name for a non-terminating recurring decimal form?
- Repeating decimal form (correct)
- Rational decimal form
- Terminating decimal form
- Infinite decimal form
Which of the following rational numbers is equivalent to 9 37 in decimal form?
Which of the following rational numbers is equivalent to 9 37 in decimal form?
What is the decimal form of the rational number 18 42?
What is the decimal form of the rational number 18 42?
What is the decimal form of the rational number -11 13?
What is the decimal form of the rational number -11 13?
Which of the following rational numbers is equivalent to $9/37$ in decimal form?
Which of the following rational numbers is equivalent to $9/37$ in decimal form?
What is the decimal form of the rational number $18/42$?
What is the decimal form of the rational number $18/42$?
What is the decimal form of the rational number $-103/5$?
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.
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