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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.
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
Add the following rational numbers.
Subtract the first rational number from the second in each of the following:
Evaluate each of the following:
Simplify:
Multiply:
Divide:
Arrange the following rational numbers in descending order.
`(-7)/(10), (-8)/(15) and (-11)/(30)`
A number which can be expressed as `p/q` where p and q are integers and q ≠ 0 is ______
The population of India in 2004 - 05 is a rational number.
The table shows the portion of some common materials that are recycled.
| Material | Recycled |
| Paper | `5/11` |
| Aluminium cans | `5/8` |
| Glass | `2/5` |
| Scrap | `3/4` |
- Is the rational number expressing the amount of paper recycled more than `1/2` or less than `1/2`?
- Which items have a recycled amount less than `1/2`?
- Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?
- Arrange the rate of recycling the materials from the greatest to the smallest.
