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
Write four more rational numbers in the following pattern:
`(-2)/3, 2/(-3),4/(-6), 6/(-9)...`
Draw the number line and represent the following rational numbers on it:
`3/4`
The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.
Which is greater in the following?
`(-3)/4, 2/(-3)`
Write three rational number that lie between the two given number.
`4/5, 2/3`
The average of two rational numbers lies between them
Use the method of average to write 2 rational numbers between `14/5` and `16/3`
Simplify : `1/2 + (3/2 - 2/5) ÷ 3/10 xx 3` and show that it is a rational number between 11 and 12
`(-5)/7` is ______ than –3.
Find two rational numbers whose absolute value is `1/5`.
