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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 |
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Solution
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 | ✓ | ✓ | ✓ | ✓ |
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