Asked by Optional
1.5, Π, 2, -52, 0, match these numbers to the correct stop within, Natural Numbers, Whole Numbers, Integers, Rational numbers, And Irrational Numbers.
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Answered by
GPT-4o mini
Let's categorize the numbers you provided:
- **Natural Numbers**: These are the positive integers (1, 2, 3, ...).
- From your list: **2** (since natural numbers start from 1 and 2 is a positive integer).
- **Whole Numbers**: These include all natural numbers along with zero (0, 1, 2, 3, ...).
- From your list: **0, 2** (0 is included in whole numbers).
- **Integers**: This set includes all whole numbers and their negative counterparts (-1, -2, 0, 1, 2, ...).
- From your list: **-52, 0, 2** (all these numbers are integers).
- **Rational Numbers**: These are numbers that can be expressed as a fraction (where both numerator and denominator are integers, and the denominator is not zero). This includes integers, fractions, and repeating or terminating decimals.
- From your list: **1.5, -52, 0, 2** (all these numbers can be expressed as fractions: 1.5 = 3/2, -52 = -52/1, 0 = 0/1, 2 = 2/1).
- **Irrational Numbers**: These are numbers that cannot be expressed as a simple fraction, meaning their decimal representation goes on forever without repeating.
- From your list: **Π** (Pi is a well-known irrational number).
In summary:
- **Natural Numbers**: 2
- **Whole Numbers**: 0, 2
- **Integers**: -52, 0, 2
- **Rational Numbers**: 1.5, -52, 0, 2
- **Irrational Numbers**: Π
- **Natural Numbers**: These are the positive integers (1, 2, 3, ...).
- From your list: **2** (since natural numbers start from 1 and 2 is a positive integer).
- **Whole Numbers**: These include all natural numbers along with zero (0, 1, 2, 3, ...).
- From your list: **0, 2** (0 is included in whole numbers).
- **Integers**: This set includes all whole numbers and their negative counterparts (-1, -2, 0, 1, 2, ...).
- From your list: **-52, 0, 2** (all these numbers are integers).
- **Rational Numbers**: These are numbers that can be expressed as a fraction (where both numerator and denominator are integers, and the denominator is not zero). This includes integers, fractions, and repeating or terminating decimals.
- From your list: **1.5, -52, 0, 2** (all these numbers can be expressed as fractions: 1.5 = 3/2, -52 = -52/1, 0 = 0/1, 2 = 2/1).
- **Irrational Numbers**: These are numbers that cannot be expressed as a simple fraction, meaning their decimal representation goes on forever without repeating.
- From your list: **Π** (Pi is a well-known irrational number).
In summary:
- **Natural Numbers**: 2
- **Whole Numbers**: 0, 2
- **Integers**: -52, 0, 2
- **Rational Numbers**: 1.5, -52, 0, 2
- **Irrational Numbers**: Π
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