#### 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

## Chapter 1: Rational and Irrational numbers

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 1 Rational and Irrational numbers Exercise 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 Maharashtra state board Class 8 Mathematics Chapter 1 Rational and Irrational numbers Exercise 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 number.

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

Compare the following number.

`12/15,3/5`

Compare the following number.

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

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 1 Rational and Irrational numbers Exercise 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 Maharashtra state board Class 8 Mathematics Chapter 1 Rational and Irrational numbers Exercise 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.

## Chapter 1: Rational and Irrational numbers

## Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 1 - Rational and Irrational numbers

Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 1 (Rational and Irrational numbers) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Maharashtra state board Class 8 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Maharashtra state board Class 8 Mathematics chapter 1 Rational and Irrational numbers are To Show Rational Numbers on a Number Line, Comparison of Rational Numbers, Decimal Representation of Rational Numbers, Concept of Irrational Numbers.

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