Rational and Irrational Numbers Class 9 RS Aggarwal Exe-1A Goyal Brothers ICSE Foundation Mathmatics Solutions. In this article you will learn how to convert a recurring decimal into ratinal number. Non terminatiing and terminating decimal. Interconversion of decimal to rational number . Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics.

## Rational and Irrational Numbers Class 9 RS Aggarwal Exe-1A Goyal Brothers ICSE Maths Solutions

Board | ICSE |

Publications | Goyal brothers Prakshan |

Subject | Maths |

Class | 9th |

Chapter-1 | Rational and Irrational Numbers |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-1A |

Academic Session | 2024-2025 |

### a recurring decimal into ratinal number. Non terminatiing and terminating decimal. Interconversion of decimal to rational number

**Page- 5**

**Exe- 1A**

(Rational and Irrational Numbers Class 9 RS Aggarwal Exe-1A Goyal Brothers ICSE Foundation Mathmatics Solutions)

**Que-1: Without actual division, find which of the following fractions are terminating decimals.**

**(i) 9/25 (ii) 7/12 (iii) 13/16 (iv) 25/128 (v) 9/50 (vi) 121/125 (vii) 19/55 ****(viii) 37/78 (ix) 23/80 (x) 19/30**

**Solution- **(i) 9/25 = 0.36

So, it is terminating decimal.

(ii) 7/12 = 0.583333…

So, it is not a terminating decimal.

(iii) 13/16 = 0.8125

So, it is terminating decimal.

(iv) 25/128 = 0.195

So, it is terminating decimal.

(v) 9/50 = 0.18

So, it is terminating decimal.

(vi) 121/125 = 0.968

So, it is terminating decimal.

(vii) 19/55 = 0.36

So, it is terminating decimal.

**Que-2: Convert each …… lowest terms :**

**(i) 0.65 (ii) 1.08 (iii) 0.075 (iv) 2.016 (v) 1.732**

**Solution- **(i) 0.65 = 0.65/100 = 13/20.

(ii) 1.08 = 108/100 = 27/25.

(iii) 0.075 = 75/1000 = 3/40.

(iv) 2.016 = 2016/1000 = 252/125.

(v) 1.732 = 1732/1000 = 433/250.

**Que-3: Convert each …….. a decimal :**

**(i) 1/8 (ii) 3/32 (iii) 44/9 (iv) 11/24 (v) 12/13 (vi) 27/44 (vii) 2*(5/12) (viii) 1*(31/55)**

**Solution- **(i) 1/8 = 0.125.

(ii) 3/32 = 0.09375.

(iii) 44/9 = 4.8

(iv) 11/24 = 0.4583

(v) 12/13 = 0.923076

(vi) 27/44 = 0.6136

(vii) 2*(5/12) = 29/12 = 2.416

(viii) 1*(31/55) = 86/55 = 1.563

**Que-4: Express 15/56 as a decimal, correct to four decimals places.**

**Solution- **15/56 = 0.2689

**Que-5: Express 13/34 as a decimal, correct to three decimal places.**

**Solution- **13/34 = 0.382

**Que-6: By actual division, show that :**

**(i) 11/9 = 1.2 (ii) 43/11 = 3.90 (iii) 107/55 = 2.37 (iv) 21/55 = 0.381**

**Solution-**(i) 11 ÷ 9 = 1 with a remainder of 2

11.0 ÷ 9 = 1.2 with a remainder of 2

11/9 = 1.2222… = 1.2

11/9 ≈ 1.2

So by actual division, 11/9 is approximately equal to 1.2.

(ii) 43 ÷ 11 = 3 with a remainder of 10

43.0 ÷ 11 = 3.9 with a remainder of 1

43/11 = 3.909090… = 3.90

43/11 ≈ 3.90

So by actual division, 43/11 is approximately equal to 3.90.

(iii) 107 ÷ 45 = 2 with a remainder of 17

107.0 ÷ 45 = 2.37 with a remainder of 35

107/45 = 2.3777… = 2.37

107/45 ≈ 2.37

So by actual division, 107/45 is approximately equal to 2.37.

(iv) 21 ÷ 55 = 0.3 with a remainder of 45

21.0 ÷ 55 = 0.381 with a remainder of 1

21/55 = 0.3818181… = 0.381

21/55 ≈ 0.381

So by actual division, 21/55 is approximately equal to 0.381.

**Que-7: Express each of the following as a vulgar fraction in simplest form :**

**(i) 0.5 (ii) 0.43 (iii) 0.158 (iv) 1.3 (v) 4.17 (vi) 0.12 (vii) 0.136 (viii) 1.57**

**Solution- **(i) 0.5 = 5/10 = 1/2

(ii) 0.43 = 43/100

(iii) 0.158 = 158/1000.

(iv) 1.3 = 13/10

(v) 4.17 = 417/100

(vi) 0.12 = 12/100 = 3/25.

(vii) 0.136 = 136/1000 = 34/250

(viii) 1.57 = 157/100.

–: End of Rational and Irrational Numbers Class 9 RS Aggarwal Exe-1A Maths Solutions : —

Return to :- **RS Aggarwal Solutions for ICSE Class-9 Mathematics (Goyal Brother Prakashan)**

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