Advertisements
Advertisements
प्रश्न
Give an example and verify the following statement.
The mean of two rational numbers is rational and lies between them
Advertisements
उत्तर
Let a = `2/11` and b = `5/6` be two rational numbers
Mean of a and b is c = `1/2("a" + "b")`
= `1/2(2/11 + 5/6)`
= `1/2(((2 xx 6) + (5 xx 11))/66)`
= `1/2 xx ((12 + 55)/66)`
= `1/2 xx 67/66`
= `67/132` is in Q.
Aslo `2/11 = (2 xx 12)/(11 xx 12)`
= `24/132`
`5/6 = (5 xx 22)/(6 xx 22)`
= `110/132`
∴ `24/132 < 67/132 < 110/132`
∴ The mean lies between the given rational numbers `2/11` and `5/6`
APPEARS IN
संबंधित प्रश्न
Find five rational numbers between `(-3)/2 " and " 5/3`
List five rational numbers between −2 and −1.
Rewrite the following rational number in the simplest form:
`(-44)/72`
Fill in the box with the correct symbol out of >, < and =.
0 `square (-7)/6`
Which is greater in the following?
`-3 2/7, -3 4/5`
Write three rational numbers that lie between the two given numbers.
`-3/4 , 5/4`
Find any ten rational numbers between `(-5)/6 "and" 5/8`.
List any five rational numbers between the given rational numbers
`(-6)/4` and `(-23)/10`
`(-5)/7` is ______ than –3.
Sum of two rational numbers is always a rational number.
