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प्रश्न
Evaluate:
`4 + 3/(-5)`
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उत्तर
`4/1 + 3/(-5)`
= `4/1 - 3/5`
= `(4xx5)/(1xx5) - (3xx1)/(5xx1)` (LCM of 1 and 5 = 5)
= `(20-3)/5 = 17/5 = 3 2/5`
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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`
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`.
Draw a number line and represent the following rational numbers on it
`15/(-4)`
`-3/4` is smaller than –2.
The rational number `7/(-4)` lies to the right 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.
The rational numbers `1/2` and `- 5/2` are on the opposite sides of 0 on the number line.
Arrange the numbers `1/4, 13/16, 5/8` in the descending order.
On a number line, `4/3` is to the ______ of zero (0).
