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 `2/3 " and " 4/5`
Give four rational numbers equivalent to `4/9`.
Fill in the boxes with the correct symbol out of >, < and =.
`(-8)/5square(-7)/4`
Write three rational number that lie between the two given number.
`4/5, 2/3`
Find any ten rational numbers between `(-5)/6 "and" 5/8`.
The average of two rational numbers lies between them
`5/10` lies between `1/2` and 1.
Find two rational numbers whose absolute value is `1/5`.
`5/6 square 8/4`
‘a’ and ‘b’ are two different numbers taken from the numbers 1 – 50. What is the largest value that `(a - b)/(a + b)` can have? What is the largest value that `(a + b)/(a - b)` can have?
