Advertisements
Advertisements
Question
Write any three rational numbers between the two numbers given below.
−2.3 and −2.33
Advertisements
Solution
−2.3 = −2.300 and −2.33 = −2.330
`1/2` [−2.300 + (−2.330)]
= `1/2` (−2.300 −2.330)
= `1/2` (−4.630)
= −2.315
`1/2` [−2.315 + (−2.300)]
= `1/2` [−2.315 − 2.300]
= `1/2` (−4.615)
= −2.3075
= `1/2` [−2.315 + (−2.330)]
= `1/2` (−2.315 − 2.330)
= `1/2` (−4.645)
= −2.3225
∴ The three rational numbers between −2.3 and −2.33 are −2.315, −2.3025 and −2.3225.
APPEARS IN
RELATED QUESTIONS
Add the following rational numbers:
Simplify:
Re-arrange suitably and find the sum in each of the following:
Evaluate each of the following:
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]\[\frac{- 11}{2} + \frac{7}{6} + \frac{- 5}{8}\]
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
Simplify each of the following and express the result as a rational number in standard form:
Fill in the blanks:
The product of two negative rational numbers is always .....
Fill in the blanks:
If a is reciprocal of b, then the reciprocal of b is .....
Compare: `(-7)/2` and `5/2`
Arrange the following rational numbers in descending order.
`(7)/(13),(8)/(15), and (3)/(5)`
Arrange the following rational numbers in descending order.
`(-7)/(10), (-8)/(15) and (-11)/(30)`
The next rational number in the sequence `(-15)/24, 20/(-32), (-25)/40` is ______.
A number which can be expressed as `p/q` where p and q are integers and q ≠ 0 is ______
Every whole number is an integer.
Solve the following: Select the rational numbers from the list which are also the integers.
`9/4, 8/4, 7/4, 6/4, 9/3, 8/3, 7/3, 6/3, 5/2, 4/2, 3/1, 3/2, 1/1, 0/1, (-1)/1, (-2)/1, (-3)/2, (-4)/2, (-5)/2, (-6)/2`
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` |
Which items have a recycled amount less than `1/2`?
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)
In a rational number, denominator always has to be a non-zero integer.
Write a rational number in which the numerator is less than ‘–7 × 11’ and the denominator is greater than ‘12 + 4’.
