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Do natural numbers contain negatives

Updated: 4/28/2022
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6y ago

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No.

The natural numbers (â„•) are defined in 2 ways:

  1. the counting numbers {1, 2, 3, ...};
  2. The counting numbers and zero, ie {0, 1, 2, 3, ...}
Some definitions include zero, others do not. Either way, negative numbers are NOT included.

The set of Integers (ℤ) is the counting numbers, their negatives and zero, ie {..., -3, -2, -1, 0, 1, 2, 3, ...}

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Q: Do natural numbers contain negatives
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How are the integers and natural numbers different?

Natural numbers do not include negatives. Integers do.


What are the set of natural numbers and their negatives are called?

Integers.


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No. Natural numbers are a subset of whole numbers. Negative numbers are whole numbers but not natural.


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271 of the first 1000 natural numbers contain at least one digit 5. That is 27.1 % of them.


Are negative numbers natural numbers?

No. Natural numbers may or may not include 0, depending on who you ask (i.e. they can begin 0, 1, 2, 3, … or 1, 2, 3, 4, …), but they don't ever include the negative numbers. However, integers, which are a superset of the natural numbers (i.e. the natural numbers are contained "in" the integers), do include negatives.


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The integers are all the natural numbers and their negatives and zero. So 5 is a natural number and negative 5 is its negative. That makes it an integer.


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No. 1.68 is not a natural number or a whole number. "Natural" numbers are the counting numbers . . . one, two, three, four . . . 1.68 is not one of them. "Whole" numbers are the integers . . . the natural numbers, their negatives, and zero. 1.68 isn't one of those either. About all you can say for 1.68 is that it's positive, it's mixed, and it's rational.


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Is the square root of 3 a natural number?

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