Advertisements
Advertisements
प्रश्न
`5/6` lies between `2/3` and 1.
पर्याय
True
False
Advertisements
उत्तर
This statement is True.
Explanation:
First, we convert the given rational numbers with denominator as 6, we get
`2/3 = 2/3 xx 2/2 = 4/6`
`1 = 1 xx 6/6 = 6/6`
∵ `4/6 < 5/6 < 6/6`
∴ `2/3 < 5/6 < 1`
Therefore, `5/6` lies between `2/3` and 1.
Notes
We know that, if a and b are two rational numbers, then `(a + b)/2` is a rational number between a and b such that `a < (a + b)/2 < b`.
APPEARS IN
संबंधित प्रश्न
Draw the number line and represent the following rational numbers on it:
`(-7)/4`
Write three rational numbers that lie between the two given numbers.
`- 2/3 , 4/5`
Write three rational numbers that lie between the two given numbers.
`7/9 , -5/9`
Write three rational numbers that lie between the two given numbers.
`7/8, (-5)/3`
Give an example and verify the following statement.
The mean of two rational numbers is rational and lies between them
Which of the following statements is always true?
`5/10` lies between `1/2` and 1.
The product of two rational numbers is –7. If one of the number is –5, find the other?
`(-16)/24` and `20/(-16)` represent ______ rational numbers.
`5/6 square 8/4`
