Advertisements
Advertisements
प्रश्न
Write three rational numbers that lie between the two given numbers.
`7/8, (-5)/3`
Advertisements
उत्तर
The given numbers are `7/8 "and" - 5/3`
Let us convert each of the given numbers into fractions with equal denominators.
`7/8 = (7 xx 3)/(8 xx 3) = 21/24`
`- 5/3 = (-5 xx 8)/(3 xx 8) = (-40)/24`
We know that,
-40 < −39 < .....< −13 < −12 < .....< 11 < 12 < ....<17 < .... 21
`therefore - 40/24 < - 39/24 < .....< -13/24 < -12/24 < ......<11/24 < 12/24 < .....< 17/24 < .....< 21/24`
`=> (-5)/3 < (-39)/24 < ....< (-13)/24 < (-12)/24 < .....< 11/24 < 12/24 <.....< 17/24 <.....< 7/8`
Hence, 3 rational numbers between `7/8 "and" (-5)/3` are:
`(-13)/24, 11/24` and `17/24`
संबंधित प्रश्न
Give four rational numbers equivalent to `5/(-3)`.
Which of the following pairs represent the same rational number?
`(-3)/5 "and" (-12)/20`
Rewrite the following rational number in the simplest form:
`(-8)/6`
Fill in the box with the correct symbol out of >, <, and =.
`(-5)/7 square2/3`
Which is greater in the following?
`(-3)/4, 2/(-3)`
Which of the following statements is always true?
`5/10` lies between `1/2` and 1.
Between any two rational numbers there are exactly ten rational numbers.
The product of two rational numbers is `(-14)/27`. If one of the numbers be `7/9`, find the other.
‘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?
