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`
Which of the following pair represent the same rational number?
`(-7)/21 "and" 3/9`
Which of the following pairs represent the same rational number?
`8/(-5) "and" (-24)/15`
Fill in the box with the correct symbol out of >, <, and =.
`(-7)/8 square14/(-16)`
Which is greater in the following?
`(-5)/6, (-4)/3`
Write three rational numbers that lie between the two given numbers.
`- 2/3 , 4/5`
Simplify : `1/2 + (3/2 - 2/5) ÷ 3/10 xx 3` and show that it is a rational number between 11 and 12
There are ______ rational numbers between any two rational numbers.
There are countless rational numbers between `5/6` and `8/9`.
‘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?
