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प्रश्न
Find a rational number exactly halfway between:
`5/(-13)` and `(-7)/9`
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उत्तर
We know that, a rational number, which is halfway between two rational number i.e. a and b = `(a + b)/2`
Given rational numbers are `5/(-13)` and `(-7)/9`
Here, a = `-5/13` and b = `-7/9`
∴ `(a + b)/2 = ((-5)/13 + (-7/9))/2`
= `((-5)/13 - 7/9)/2`
= `((-5 xx 9)/(13 xx 9) - (7 xx 13)/(9 xx 13))/2`
= `((-45)/177 - 91/177)/2`
= `((-45 - 91)/177)/2`
= `(-136)/(117 xx 2)`
= `(-136)/234`
Hence, the exactly of halfway between `5/(-13)` and `(-7)/9` is `-136/234`.
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संबंधित प्रश्न
Write five rational numbers which are smaller than 2.
Show the following numbers on a number line. Draw a separate number line for each example.
(1)`3/2 , 5/2 , -3/2`
(2)`7/5 , (-2)/5 , (-4)/5`
(3) `(-5)/8 , 11/8`
(4)`13/10 , (-17)/10`
Show the number √7 on the number line.
Evaluate:
`5/9 + (-7)/6`
Evaluate:
`4 + 3/(-5)`
Draw a number line and represent the following rational numbers on it
`(-17)/(-5)`
Draw a number line and represent the following rational numbers on it
`15/(-4)`
The rational number `57/23` lies to the left of zero on the number line.
The rational number `(-8)/(-3)` lies neither to the right nor to the left of zero on the number line.
Write the following rational numbers in the descending order.
`8/7, (-9)/8, (-3)/2, 0, 2/5`
