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Question
Find the rational numbers represented by the question marks marked on the following number line
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Solution
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`
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RELATED QUESTIONS
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`
Draw a number line and mark
`2/3, (-8)/3, 7/3, (-2)/3 and -2`
`-3/4` is smaller than –2.
The rational numbers can be represented on the number line.
On a number line, `(-1)/2` is to the ______ of zero (0).
The rational number `(-3)/4` lies to the right of zero on the number line.
Represent the following rational numbers on a number line:
`3/8, (-7)/3, 22/(-6)`
Find a rational number exactly halfway between:
`1/15` and `1/12`
