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: [tex]-\frac{1}{2}, 0.22222222....,1,2,\frac{2}{3} ,\frac{5}{4} ,6.1[/tex]
-are all numbers that you can write as a quotient of integers [tex]\frac{a}{b}, b\neq 0[/tex]
-include terminating decimals. For example, [tex]\frac{1}{8}=0.125[/tex]
-include repeating decimals. For example, [tex]\frac{1}{3}=0.333333...[/tex]
In the rectangle:
Irrational Numbers: [tex]\sqrt{2} ,\pi[/tex]
-have decimal representations that neither terminate nor repeat. For example, [tex]\sqrt{2} =1.414213...[/tex]
-cannot be written as quotients of integers
