What are intergers and natural numbers? (Definition and example, please.) Thank you!?

Question

It's been a while since I've taken a math class...

Answer 1

natural numbers are just the numbers you count when counting anything.  1.2.3.4.5.6.7.etc

Integers are any whole number positive or negative.  no fractions or decimals.

Answer 2

Integers are all negative and positive numbers without being a decimal or fraction. i.e. -3, -2, -1, 0, 1, 2, 3

And natural numbers is very easy, they are all numbers starting from 1. i.e. 1, 2, 3, 4, 5... etc.

Answer 3

Natural numbers are all "whole" numbers without fractional parts which are not negative. They sometimes include 0 but more often do not:

1, 2, 3, ...

or sometimes:

0, 1, 2, 3, ...

Integers (the natural numbers, zero, and the negatives of the natural numbers):

... -3, -2, -1, 0, 1, 2, 3, ...

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Rational numbers would be numbers that you can represent with a ratio (a fraction), such as decimal numbers and repeating decimal values:

1/2 = 0.5

1/3 = 0.333333...

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Irrational numbers cannot be represented with a ratio. They do not repeat or end. Examples:

π ≈ 3.1415926535897932384626433832795

e ≈ 2.7182818284590452353602874713527

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The integers includes all natural numbers.

The rational numbers includes all integers.

The irrational numbers are separate from all rational numbers.