Advertisements
Advertisements
Question
Arrange the following rational numbers in descending order.
`(4)/(3), (-14)/(5) and (17)/(15)`
Advertisements
Solution
Given numbers : `(4)/(3), (-14)/(5) and (17)/(15)`
The L.C.M. of 3 and 5 is 15.
Thus, numbers are :
`(4)/(3)`
= `(4 xx 3)/(3 xx 5)`
= `(20)/(15)`,
`(-14)/(5)`
= `(-14 xx 3)/(5 xx 3)`
= `(-42)/(15)`,
`(17)/(15)`
Since 20 > 17 > -42, we have `(4)/(3) > (17)/(5) > (-14)/(5)`.
APPEARS IN
RELATED QUESTIONS
Add the following rational numbers:
Add the following rational numbers:
Subtract the first rational number from the second in each of the following:
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
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.
Compare: `- 3 "and" 2 3/4 or 11/4`
If n is a natural number then `sqrt("n")` is
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)
A body floats `2/9` of its volume above the surface. What is the ratio of the body submerged volume to its exposed volume? Re-write it as a rational number.
Write any three rational numbers between the two numbers given below.
−2.3 and −2.33
