Answer & Step-by-step explanation:
Working from the inner circle out:
Natural Numbers: 1,2,3,4
These are the numbers you would use to count
Whole Numbers: 0,1,2,3
The natural numbers and zero
Integers: -3,-2,-1,0,1,2,3
The natural numbers, their opposites, and zero
Rational Numbers:
![-(1)/(2), 0.22222222....,1,2,(2)/(3) ,(5)/(4) ,6.1](https://img.qammunity.org/2021/formulas/mathematics/college/xenzysvwei591k4aa0yenw46cwjw945pcx.png)
-are all numbers that you can write as a quotient of integers
![(a)/(b), b\\eq 0](https://img.qammunity.org/2021/formulas/mathematics/college/xph8j9pgy0wxo9g6x4t440mt4oiruate0h.png)
-include terminating decimals. For example,
![(1)/(8)=0.125](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ai0dgoaa6w0s970w1rcgoikyx9faaubj71.png)
-include repeating decimals. For example,
![(1)/(3)=0.333333...](https://img.qammunity.org/2021/formulas/mathematics/college/qv37laf6u860sxxz5tp8ahtaa2jnch6l1b.png)
In the rectangle:
Irrational Numbers:
![√(2) ,\pi](https://img.qammunity.org/2021/formulas/mathematics/college/nalb82f5zpor5jbpbocj1lzwwusxzq29wa.png)
-have decimal representations that neither terminate nor repeat. For example,
![√(2) =1.414213...](https://img.qammunity.org/2021/formulas/mathematics/college/gmxb7rjcved2b7a69yl33zkrnu9imlnqii.png)
-cannot be written as quotients of integers