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प्रश्न
Find the odd one out of the following and give reason.
विकल्प
`4/(-9)`
`(-16)/36`
`(-20)/(-45)`
`28/(-63)`
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उत्तर
`bb((-20)/(-45))`
Explanation:
(a) `4/(-9)`
= `(4 xx (-1))/((-9) xx (-1))`
= `(-4)/9`
(b) `(-16)/36`
H.C.F. of 16 and 36 is 4.
Now, reduced form of `(-16)/36` is `((-16) ÷ 4)/(36 ÷ 4) = (-4)/9`
(c) `(-20)/(-45)`
H.C.F. of 20 and 45 is 5.
Now, reduced form of `(-20)/(-45)` is `(-20 ÷ (-5))/(-45 ÷ (-5)) = 4/9`
(d) `28/(-63)`
H.C.F. of 28 and 63 is 7.
Now, reduced form of `28/(-63)` is `(28 ÷ (-7))/((-63) ÷ (-7)) = (-4)/9`
Except (c), all others have the same value i.e., `(-4)/9`
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संबंधित प्रश्न
Represent these numbers on the number line.
`-5/6`
Write five rational numbers which are smaller than 2.
Show the following numbers on a number line. Draw a separate number line for the example.
`3/2 , 5/2 , -3/2`
The number `sqrt2` is shown on a number line. Steps are given to show `sqrt3` on the number line using `sqrt2`. Fill in the boxes properly and complete the activity.
Activity :
- The point Q on the number line shows the number ______.
- A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.
- Right angled ∆ORQ is obtained by drawing seg OR.
`l ("OQ") = sqrt2` , `l("QR") = 1`
`therefore` by Pythagoras theorem,
`[l("OR")]^2 = [l("OQ")]^2 + [l("QR")]^2 `
= `square^2`+ `square^2` = `square` + `square`
= `square`
∴ l(OR) = `square`
Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number `sqrt3`.
Evaluate:
`5/9 + (-7)/6`
Draw a number line and mark
`3/4, 7/4, (-3)/4 and (-7)/4` on it.
Draw a number line and represent the following rational numbers on it
`(-8)/3`
Draw a number line and represent the following rational numbers on it
`(-17)/(-5)`
`-3/4` is smaller than –2.
The rational number `(-3)/4` lies to the right of zero on the number line.
