Numbers
Closed under
Addition
Subtraction
Multiplication
Division
Rational numbers
Yes
Yes
Yes
No
Integers
Yes
Yes
Yes
No
Whole numbers
Yes
No
Yes
No
Natural numbers
Yes
No
Yes
No
" />Numbers
Closed under
Addition
Subtraction
Multiplication
Division
Rational numbers
Yes
Yes
Yes
No
Integers
Yes
Yes
Yes
No
Whole numbers
Yes
No
Yes
No
Natural numbers
Yes
No
Yes
No
" />Numbers
Closed under
Addition
Subtraction
Multiplication
Division
Rational numbers
Yes
Yes
Yes
No
Integers
Yes
Yes
Yes
No
Whole numbers
Yes
No
Yes
No
Natural numbers
Yes
No
Yes
No
" />Fill in the blanks in the following table:
Numbers 
Closed under 

Addition 
Subtraction 
Multiplication 
Division 

Rational numbers 
Yes 
Yes 
No 

Integers 
Yes 
No 

Whole numbers 
... 
Yes 

Natural numbers 
No 

Using the closure property over addition, subtraction, multiplication and division for rational numbers, integers, wholenumbers and natural numbers, we have:
Numbers 
Closed under 

Addition 
Subtraction 
Multiplication 
Division 

Rational numbers 
Yes 
Yes 
Yes 
No 

Integers 
Yes 
Yes 
Yes 
No 

Whole numbers 
Yes 
No 
Yes 
No 

Natural numbers 
Yes 
No 
Yes 
No 