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प्रश्न
Evaluate:
`4/(-9) + 1`
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उत्तर
`(-4)/9 + 1/1`
(LCM of 9 and 1 = 9)
`= (-4xx1)/(9xx1) + (1xx9)/(1xx9)`
`= (-4+9)/9 = 5/9`
APPEARS IN
संबंधित प्रश्न
Represent `(-2)/11, (-5)/11, (-9)/11` on the number line.
Show the following numbers on a number line. Draw a separate number line for the example.
`(-5)/8 , 11/8`
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:
`2 + (-3)/5`
Draw a number line and mark
`3/4, 7/4, (-3)/4 and (-7)/4` on it.
The rational number `(-8)/(-3)` lies neither to the right nor to the left of zero on the number line.
On a number line, `(-1)/2` is to the ______ of zero (0).
Find a rational number exactly halfway between:
`(-1)/3` and `1/3`
