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Questions and Answers
What is a decimal?
What is a decimal?
- A whole number without a fractional part
- A number based on powers of 2
- A type of irrational number
- A number whose value is based on powers of 10 (correct)
What are irrational numbers?
What are irrational numbers?
Numbers that cannot be written in the form a/b, where a and b are integers.
What is a rational number?
What is a rational number?
A number that can be written as a ratio of two integers where the denominator is not zero.
What are real numbers?
What are real numbers?
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What is a repeating decimal?
What is a repeating decimal?
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What is a terminating decimal?
What is a terminating decimal?
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Study Notes
Number Types and Definitions
- Decimal: A number expressed in the base 10 system; each digit's place value is a power of 10 (e.g., 10, 100, 0.01).
- Irrational Numbers: Cannot be expressed as a fraction a/b, where a and b are integers. These numbers do not terminate or repeat in decimal form.
- Rational Number: Represents any number that can be expressed as a fraction of two integers (a/b), with b not equal to zero. This set is a subset of real numbers.
- Real Numbers: Comprises all numbers present on the number line, including both rational and irrational numbers.
Decimal Characteristics
- Repeating Decimal: A decimal that displays a continuous pattern; identified by placing a bar over the repeating digits. This type of decimal is rational.
- Terminating Decimal: A decimal that ends; it includes a final digit with no further digits beyond it.
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