Maharashtra State BoardSSC (English Medium) 8th Standard

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 1 - Rational and Irrational numbers [Latest edition]

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Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 1 - Rational and Irrational numbers - Shaalaa.com
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Solutions for Chapter 1: Rational and Irrational numbers

Below listed, you can find solutions for Chapter 1 of Maharashtra State Board Balbharati for Mathematics 8th Standard Maharashtra State Board.


Practice Set 1.1Practice Set 1.2Practice Set 1.3Practice Set 1.4
Practice Set 1.1 [Page 2]

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 1 Rational and Irrational numbers Practice Set 1.1 [Page 2]

Practice Set 1.1 | Q 1.1 | Page 2

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

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

Practice Set 1.1 | Q 1.2 | Page 2

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

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

Practice Set 1.1 | Q 1.3 | Page 2

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

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

Practice Set 1.1 | Q 1.4 | Page 2

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

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

Practice Set 1.1 | Q 2 | Page 2

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. 

Practice Set 1.2 [Page 3]

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 1 Rational and Irrational numbers Practice Set 1.2 [Page 3]

Practice Set 1.2 | Q 1 | Page 3

Compare the following number.

-7,-2

Practice Set 1.2 | Q 2 | Page 3

Compare the following number.

`0,(-9)/5`

Practice Set 1.2 | Q 3 | Page 3

Compare the following number.

`8/7,0`

Practice Set 1.2 | Q 4 | Page 3

Compare the following number.

`(-5)/4,1/4`

Practice Set 1.2 | Q 5 | Page 3

Compare the following number.

`40/29,141/29`

Practice Set 1.2 | Q 6 | Page 3

Compare the following number.

`-17/20,(-13)/20`

Practice Set 1.2 | Q 7 | Page 3

Compare the following number.

`15/12,7/16`

Practice Set 1.2 | Q 8 | Page 3

Compare the following numbers.

`(-25)/8,(-9)/4`

Practice Set 1.2 | Q 9 | Page 3

Compare the following number.

`12/15,3/5`

Practice Set 1.2 | Q 10 | Page 3

Compare the following number.

`(-7)/11,(-3)/4`

Practice Set 1.3 [Page 4]

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 1 Rational and Irrational numbers Practice Set 1.3 [Page 4]

Practice Set 1.3 | Q 1 | Page 4

Write the following rational number in decimal form.

`9/37`

Practice Set 1.3 | Q 2 | Page 4

Write the following rational number in decimal form.

`18/42`

Practice Set 1.3 | Q 3 | Page 4

Write the following rational number in decimal form.

`9/14`

Practice Set 1.3 | Q 4 | Page 4

Write the following rational number in decimal form.

`(-103)/5`

Practice Set 1.3 | Q 5 | Page 4

Write the following rational number in decimal form.

`-11/13`

Practice Set 1.4 [Pages 5 - 6]

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 1 Rational and Irrational numbers Practice Set 1.4 [Pages 5 - 6]

Practice Set 1.4 | Q 1 | Page 5

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 `

= _____2 + _____2 = _____ + _____

= ______    

∴ l(OR) = _____

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 √3. 

Practice Set 1.4 | Q 2 | Page 6

Show the number √5 on the number line. 

Practice Set 1.4 | Q 3 | Page 6

Show the number √7 on the number line.

Solutions for Chapter 1: Rational and Irrational numbers

Practice Set 1.1Practice Set 1.2Practice Set 1.3Practice Set 1.4
Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 1 - Rational and Irrational numbers - Shaalaa.com

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 1 - Rational and Irrational numbers

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Concepts covered in Mathematics 8th Standard Maharashtra State Board chapter 1 Rational and Irrational numbers are Comparison of Rational Numbers, Rational Numbers on a Number Line, Rational Numbers, Decimal Representation of Rational Numbers, Concept of Irrational Numbers, Representation of Irrational Numbers on the Number Line.

Using Balbharati Mathematics 8th Standard Maharashtra State Board solutions Rational and Irrational numbers exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Balbharati Solutions are essential questions that can be asked in the final exam. Maximum Maharashtra State Board Mathematics 8th Standard Maharashtra State Board students prefer Balbharati Textbook Solutions to score more in exams.

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