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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

Find the rational numbers represented by the question marks marked on the following number line - Mathematics

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Question

Find the rational numbers represented by the question marks marked on the following number line

Sum
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Solution

The required number lies between 0 and −1.

The unit part between 0 and −1 is divided into 5 equal parts, and the second part is taken.

∴ The required number is `(-2)/5`

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Chapter 1: Numbers - Exercise 1.1 [Page 13]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 1 Numbers
Exercise 1.1 | Q 3. (ii) | Page 13

RELATED QUESTIONS

Observe the number line and answer the questions.

  1. Which number is indicated by point B? 
  2. Which point indicates the number `1 3/4`?
  3. State whether the statement ‘the point D denotes the number `5/2`’ is true or false. 

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`.


Evaluate:

`4 + 3/(-5)`


Find the rational numbers represented by the question marks marked on the following number line


Draw a number line and represent the following rational numbers on it

`15/(-4)`


The rational number `7/(-4)` lies to the right 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.


Write the following rational numbers in the descending order.

`8/7, (-9)/8, (-3)/2, 0, 2/5`


Find a rational number exactly halfway between:

`(-1)/3` and `1/3`


Find a rational number exactly halfway between:

`1/6` and `1/9`


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