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प्रश्न
The points S, Y, N, C, R, A, T, I and O on the number line are such that CN = NY = YS and RA = AT = TI = IO. Find the rational numbers represented by the letters Y, N, A, T and I
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उत्तर
Y = `-2 + 1/3 = (-6 + 1)/3 = (-5)/3`
N = `(-5)/3 + 1/3 = (-5 + 1)/3 = (-4)/3`
RA = AT = TI = IO = `1/4`
A = `2 + 1/4 = (8 + 1)/4 = 9/4`
T = `9/4 + 1/4 = (9 + 1)/4 = 10/4`
I = `10/4 + 1/4 = (10 + 1)/4 = 11/4`
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संबंधित प्रश्न
Represent these numbers on the number line.
`-5/6`
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 √5 on the number line.
Show the number √7 on the number line.
Evaluate:
`1/(-15) + 5/(-12)`
Find the rational numbers represented by the question marks marked on the following number line
Find the rational numbers represented by the question marks marked on the following number line
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.
Find a rational number exactly halfway between:
`5/(-13)` and `(-7)/9`
