Questions and Answers
What is a decimal?
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?
A number that can be written as a ratio of two integers where the denominator is not zero.
What are real numbers?
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What is a repeating decimal?
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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.
Studying That Suits You
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Description
Test your knowledge of rational and irrational numbers with these flashcards. Each card provides definitions and examples crucial for mastering concepts in Algebra 1. Perfect for students looking to solidify their understanding of these numerical classifications.
