Podcast
Questions and Answers
What type of number is 12?
What type of number is 12?
- Integer (correct)
- Whole/Natural/Integer (correct)
- Irrational
- Rational
What type of number is -15?
What type of number is -15?
- Irrational
- Whole/Natural/Integer
- Rational
- Integer (correct)
What type of number is -¾?
What type of number is -¾?
- Integer
- Irrational
- Whole/Natural
- Rational (correct)
What type of number is ⁸/₄?
What type of number is ⁸/₄?
What type of number is 0?
What type of number is 0?
What type of number is 1.89?
What type of number is 1.89?
What type of number is 0.34?
What type of number is 0.34?
What type of number is 1 ⁷/₉?
What type of number is 1 ⁷/₉?
What type of number is -57?
What type of number is -57?
What type of number is 28?
What type of number is 28?
What type of number is ¹⁹/₃?
What type of number is ¹⁹/₃?
What type of number is -5½?
What type of number is -5½?
What type of number is -²⁰/₄?
What type of number is -²⁰/₄?
What type of number is 1.92?
What type of number is 1.92?
What type of number is 9?
What type of number is 9?
What type of number is -100?
What type of number is -100?
What is a rational number?
What is a rational number?
What type of number is represented by terminating decimals?
What type of number is represented by terminating decimals?
What are positive numbers with no fraction or decimal?
What are positive numbers with no fraction or decimal?
What are whole numbers and their opposites?
What are whole numbers and their opposites?
What are whole numbers?
What are whole numbers?
What are natural numbers?
What are natural numbers?
What are integers?
What are integers?
What are rational numbers?
What are rational numbers?
What type of number is √2?
What type of number is √2?
What type of number is π?
What type of number is π?
What is an irrational number?
What is an irrational number?
What type of number is √5?
What type of number is √5?
What type of number is √256?
What type of number is √256?
What type of number is √114?
What type of number is √114?
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Study Notes
Classification of Numbers
- Whole numbers include all natural numbers plus zero; examples are 0, 1, 2, and 3.
- Natural numbers are the counting numbers beginning from 1; the set is {1, 2, 3, 4, ...}.
- Integers consist of whole numbers and their negatives, including zero; examples are -3, -2, -1, 0, 1, 2, 3.
- Rational numbers can be expressed as fractions and include terminating decimals; examples are 1.89 and 0.34.
- An integer can be positive or negative; examples include 12, -15, and -100.
- A definition of rational numbers includes those that can be written as a fraction, such as -5½ and 1 ⁷/₉.
- Irrational numbers cannot be expressed as fractions and include non-terminating, non-repeating decimals; examples are √2 and π.
- Irrational numbers also arise from non-perfect square roots, characterized by decimal values that do not repeat or terminate.
- Terminating decimals are classified as rational as they can be accurately expressed as fractions.
- Examples of irrational numbers include √5 and √114.
- Key characteristics of natural and whole numbers exclude fractions and decimals; they represent positive quantities only.
- Rational number examples illustrate both decimal forms and mixed numbers, demonstrating versatility in representation.
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