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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ८

Draw a number line and represent the following rational numbers on it 15-4

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प्रश्न

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

`15/(-4)`

आकृती
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उत्तर

`15/(-4) = -3 3/4`

`-3 3/4` lies between −3 and −4

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पाठ 1: Numbers - Exercise 1.1 [पृष्ठ १३]

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सामाचीर कलवी Mathematics [English] Class 8 TN Board
पाठ 1 Numbers
Exercise 1.1 | Q 5. (iv) | पृष्ठ १३

संबंधित प्रश्‍न

Represent these numbers on the number line

`7/4`


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. 

Show the following numbers on a number line. Draw a separate number line for the example.

`3/2 , 5/2 , -3/2`


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`.


Evaluate:

`5/9 + 3/-4`


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


Arrange the numbers `1/4, 13/16, 5/8` in the descending order.


Find a rational number exactly halfway between:

`1/15` and `1/12`


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