Question

Put the (√), wherever applicable

Number	Natural Number	Whole Number	Integer	Fraction	Rational Number
(a) – 114
(b) `19/27`
(c) `623/1`
(d) `-19 3/4`
(e) `73/71`
(f) 0

Answer 1

We know that, 

Natural numbers are 1, 2, 3, 4, ...

Whole numbers are 0, 1, 2, 3, ...

Integers are –2, –1, 0, 1, 2, ...

Fractions are `1/2, 3/5, 7/2,` ...

Rational numbers are `3/2, (-1)/2, (-7)/8,` ...

So, according to the number systems,

(a) –114 `→` Integer and rational number

(b) `19/27` `→` Fraction and rational number

(c) `623/1` `→` Natural number, whole number, integer, fraction and rational number

(d) `- 19 3/4 = - 79/4` `→` Rational number

(e) `73/71` `→` Fraction and rational number

(f) 0 `→` Whole number, integer, fraction and rational number

Hence the table is

Number	Natural Number	Whole Number	Integer	Fraction	Rational Number
–114			✓		✓
`19/27`				✓	✓
`623/1`	✓	✓	✓	✓	✓
`-19 3/4`					✓
`73/71`				✓	✓
0		✓	✓	✓	✓