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प्रश्न
Are the following statement true or false ? Give reason for your answer.
- Every whole number is a natural number.
- Every whole number is a rational number.
- Every integer is a rational number.
- Every rational number is a whole number.
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उत्तर
i) False, zero is a whole number but not a natural number.
ii) True, Every whole can be written in the form of, where p and q are integers and q ≠ 0.
iii) True, Every integer can be written in the form of, where p and q are integers and q ≠ 0.
iv) False, Every rational number is may or may not be a whole number.
Let us consider some rational numbers,
`1/4, 2/4, 4/4……..`
If you consider
`4/4 = 1`
It is a whole number.
If you consider
`2/4 = 0.5`
It is not a whole number.
So, every rational number is may or may not be a whole number but every whole number is a rational number.
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संबंधित प्रश्न
Simplify:
Evaluate each of the following:
What should be subtracted from \[\left( \frac{3}{4} - \frac{2}{3} \right)\] to get\[\frac{- 1}{6}?\]
Fill in the blanks:
Find a rational number between −3 and 1.
Find any five rational numbers less than 2.
State, True Or False
`7/9=(7÷5)/(9÷5)`
Insert five rational number between:
`-(3)/(4) and -(2)/(5)`
The overall width in cm of several wide-screen televisions are 97.28 cm, `98 4/9` cm `98 1/25` cm and 97.94 cm. Express these numbers as rational numbers in the form `p/q` and arrange the widths in ascending order.
The average life expectancies of males for several states are shown in the table. Express each decimal in the form `p/q` and arrange the states from the least to the greatest male life expectancy. State-wise data are included below; more indicators can be found in the “FACTFILE” section on the homepage for each state.
| State | Male | `bb(p/q)` form | Lowest terms |
| Andhra Pradesh | 61.6 | ||
| Assam | 57.1 | ||
| Bihar | 60.7 | ||
| Gujarat | 61.9 | ||
| Haryana | 64.1 | ||
| Himachal Pradesh | 65.1 | ||
| Karnataka | 62.4 | ||
| Kerala | 70.6 | ||
| Madhya Pradesh | 56.5 | ||
| Maharashtra | 64.5 | ||
| Orissa | 57.6 | ||
| Punjab | 66.9 | ||
| Rajasthan | 59.8 | ||
| Tamil Nadu | 63.7 | ||
| Uttar Pradesh | 58.9 | ||
| West Bengal | 62.8 | ||
| India | 60.8 |
Source: Registrar General of India (2003) SRS Based Abridged Lefe Tables. SRS Analytical Studies, Report No. 3 of 2003, New Delhi: Registrar General of India. The data are for the 1995-99 period; states subsequently divided are therefore included in their pre-partition states (Chhatisgarh in MP, Uttaranchal in UP and Jharkhand in Bihar)
