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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ८ वी

Show the following numbers on a number line. Draw a separate number line for the example. 75,-25,-45

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प्रश्न

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

`7/5 , (-2)/5 , (-4)/5`

बेरीज
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उत्तर

`7/5, -2/5, -4/5` can be represented on the number line as follows:

Here, the denominator of each fraction is 5.

∴ Each unit will be divided into 5 equal parts.

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पाठ 1: Rational and Irrational numbers - Practice Set 1.1 [पृष्ठ २]

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बालभारती Mathematics [English] Standard 8 Maharashtra State Board
पाठ 1 Rational and Irrational numbers
Practice Set 1.1 | Q 1.2 | पृष्ठ २
बालभारती Mathematics Integrated [English] Standard 8 Maharashtra State Board
पाठ 1 Rational and Irrational numbers
Practice set 1.1 | Q 1. (2) | पृष्ठ ४१

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 each example.

(1)`3/2 , 5/2 , -3/2`

(2)`7/5 , (-2)/5 , (-4)/5`

(3) `(-5)/8 , 11/8`

(4)`13/10 , (-17)/10`


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

`(-5)/8 , 11/8`


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:

`(-8)/9 + -5/12`


The rational number `(-3)/4` lies to the right of zero on the number line.


The rational numbers `(-12)/(-5)` and `(-7)/17` are on the opposite sides of zero on the number line.


Find a rational number exactly halfway between:

`1/6` and `1/9`


Find a rational number exactly halfway between:

`1/15` and `1/12`


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