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

## 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

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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.

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