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प्रश्न
Find the rational numbers represented by the question marks marked on the following number line
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उत्तर
The number lies between −3 and 4.
The unit part between −3 and −4 is divided into 3 equal parts and the second part is asked.
∴ The required number is `-3 2/3 = - 11/3`
APPEARS IN
संबंधित प्रश्न
Represent these numbers on the number line
`7/4`
Show the following numbers on a number line. Draw a separate number line for the example.
`7/5 , (-2)/5 , (-4)/5`
Show the following numbers on a number line. Draw a separate number line for the example.
`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`.
Show the following numbers on a number line.
`7/3, 2, (-2)/3`
`-3/4` is smaller than –2.
The rational numbers can be represented on the number line.
On a number line, `4/3` is to the ______ of zero (0).
The rational number `(-3)/4` lies to the right of zero on the number line.
Find a rational number exactly halfway between:
`(-1)/3` and `1/3`
