NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.2 Rational Numbers in Hindi and English Medium for CBSE exams 2022-2023.

## 8th Maths Exercise 1.2 Solution in Hindi and English Medium

### Class 8 Maths Chapter 1 Exercise 1.2 Solution in Hindi and English

Class VIII Mathematics NCERT book Ex. 1.2 question answers are available in Hindi and English Medium free to use or download. If someone is facing difficulty in solving questions, he can use videos solutions available on website and Apps. Exercise 1.2 solutions of 8th standard Maths are updated for new academic year 2022-23 based on latest CBSE books.

Class: 8 | Mathematics |

Chapter: 1 | Exercise: 1.2 |

Topic Name: | Rational Numbers |

Content Type: | Text and Videos Format |

Medium: | Hindi and English Medium |

#### Additive Identity

Check the result if you add 0 to a whole number, the sum is again that whole number. This holds for integers as well as rational numbers also. For example, a + 0 = 0 + a = a, where a is a whole number, b + 0 = 0 + b = b, where b is an integer, c + 0 = 0 + c = c, for a rational number c. Here, zero (0) is the identity for the addition of rational numbers. It is the additive identity for integers as well as whole numbers also.

##### Rational Numbers between two Numbers

We can represent any rational number on a number line. In a rational number, the number below the bar, that is, the denominator indicates the number of equal parts into which the first unit is divided. The number above the bar, that is, the numerator, shows “how many” of these parts are considered. You know, we get innumerable rational numbers between two given rational numbers. Using the concept of the mean we can find rational numbers between two rational numbers. We know that between two given numbers, we don’t need to obtain a whole number, but there will always be a rational number.

###### Multiplicative Identity

We will find that when we multiply any rational number with 1, we get back the same rational number as the product. We can check this for a few more rational numbers. Naturally, we will find that, a Ã— 1 = 1 Ã— a = a for any rational number a. So, in this way for rational numbers 1 is the multiplicative identity.

### Class 8 Maths Exercise 1.2 Important Questions

### How many rational numbers are there between two rational numbers?

There are infinite number of rational numbers are there between two rational numbers.

### Other than NCERT, which book is best for practicing rational numbers.

In NCERT Exemplar Problem, a lots of questions are given for practicing rational numbers. Students must refer this book for a better practice.

### Is chapter 1 of class 8 Maths useful for class 9 Maths also?

Yes, in class 9 Maths, about 20 percent of chapter 1 is same as in class 8 Maths chapter 1 rational numbers.

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###### Closure Property for Integers

Operation | Numbers | Remarks |
---|---|---|

Addition | â€“ 6 + 5 = â€“ 1, an integer, Is â€“ 7 + (â€“5) an integer? Is 8 + 5 an integer? In general, a + b is an integer for any two integers a and b. | Integers are closed under addition. |

Subtraction | 7 â€“ 5 = 2, an integer. Is 5 â€“ 7 an integer? â€“ 6 â€“ 8 = â€“ 14, an integer â€“ 6 â€“ (â€“ 8) = 2, an integer Is 8 â€“ (â€“ 6) an integer? In general, for any two integers a and b, a â€“ b is again an integer. Check if b â€“ a is also an integer. | Integers are closed under subtraction. |

Multiplication | 5 Ã— 8 = 40, an integer. Is â€“ 5 Ã— 8 an integer? â€“ 5 Ã— (â€“ 8) = 40, an integer. In general, for any two integers a and b, a Ã— b is also an integer. | Integers are closed under multiplication. |

Division | 2 Ã· 3 or 2/3, which is not an integer. | Integers are not closed under division. |