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प्रश्न
Evaluate:
`(-8)/9 + -5/12`
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उत्तर
`(-8)/9 + -5/12`
| 2 | 9, 12 |
| 2 | 9, 6 |
| 3 | 9, 3 |
| 3 | 3, 1 |
| 1, 1 |
LCM of 9, 12 = 2 x 2 x 3 x 3 = 36
`= (-8xx4)/(9xx4) - (5xx3)/(12xx3)`
`= (-32 -15)/36` (LCM of 9 and 12 = 36)
`= (-47)/36`
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संबंधित प्रश्न
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 following numbers on a number line. Draw a separate number line for the example.
`7/5 , (-2)/5 , (-4)/5`
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`.
Show the number √7 on the number line.
Evaluate:
`5/9 + (-7)/6`
Evaluate:
`1/(-15) + 5/(-12)`
Draw a number line and mark
`3/4, 7/4, (-3)/4 and (-7)/4` on it.
`-3/4` is smaller than –2.
Write the following rational numbers in the descending order.
`8/7, (-9)/8, (-3)/2, 0, 2/5`
Find a rational number exactly halfway between:
`(-1)/3` and `1/3`
