#### Chapters

Chapter 2: Parallel lines and transversals

Chapter 3: Indices and Cube root

Chapter 4: Altitudes and Medians of a triangle

Chapter 5: Expansion formulae

Chapter 6: Factorisation of Algebraic expressions

Chapter 7: Variation

Chapter 8: Quadrilateral : Constructions and Types

Chapter 9: Discount and Commission

Chapter 10: Division of Polynomials

Chapter 11: Statistics

Chapter 12: Equations in one variable

Chapter 13: Congruence of triangles

Chapter 14: Compound interest

Chapter 15: Area

Chapter 16: Surface area and Volume

Chapter 17: Circle : Chord and Arc

###### Advertisements

###### Advertisements

## 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.

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 1 Rational and Irrational numbers Practice Set 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`

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

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

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

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

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

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

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.

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

Compare the following number.

-7,-2

Compare the following number.

`0,(-9)/5`

Compare the following number.

`8/7,0`

Compare the following number.

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

Compare the following number.

`40/29,141/29`

Compare the following number.

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

Compare the following number.

`15/12,7/16`

Compare the following numbers.

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

Compare the following number.

`12/15,3/5`

Compare the following number.

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

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

Write the following rational number in decimal form.

`9/37`

Write the following rational number in decimal form.

`18/42`

Write the following rational number in decimal form.

`9/14`

Write the following rational number in decimal form.

`(-103)/5`

Write the following rational number in decimal form.

`-11/13`

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

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.

Show the number √5 on the number line.

Show the number √7 on the number line.

## Solutions for Chapter 1: Rational and Irrational numbers

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

Shaalaa.com has the Maharashtra State Board Mathematics Mathematics 8th Standard Maharashtra State Board Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Balbharati solutions for Mathematics Mathematics 8th Standard Maharashtra State Board Maharashtra State Board 1 (Rational and Irrational numbers) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Balbharati textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

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.

Get the free view of Chapter 1, Rational and Irrational numbers Mathematics 8th Standard Maharashtra State Board additional questions for Mathematics Mathematics 8th Standard Maharashtra State Board Maharashtra State Board, and you can use Shaalaa.com to keep it handy for your exam preparation.