#### 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

#### Practice Set 1.1 [Page 2]

### Balbharati solutions for Maharashtra state board (SSC) Class 8 Mathematics 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.

#### Practice Set 1.2 [Page 3]

### Balbharati solutions for Maharashtra state board (SSC) Class 8 Mathematics 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 number.

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

Compare the following number.

`12/15,3/5`

Compare the following number.

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

#### Practice Set 1.3 [Page 4]

### Balbharati solutions for Maharashtra state board (SSC) Class 8 Mathematics 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`

#### Practice Set 1.4 [Pages 5 - 6]

### Balbharati solutions for Maharashtra state board (SSC) Class 8 Mathematics 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.

## Chapter 1: Rational and Irrational numbers

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

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Concepts covered in Maharashtra state board (SSC) 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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