NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4

- Real Numbers Class 10 Ex 1.1
- Real Numbers Class 10 Ex 1.2
- Real Numbers Class 10 Ex 1.3
- Real Numbers Class 10 Ex 1.4

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 10 |

Subject |
Maths |

Chapter |
Chapter 1 |

Chapter Name |
Real Numbers |

Exercise |
Ex 1.4 |

Number of Questions Solved |
3 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4

**Ex 1.4 Class 10 Maths Question 1.
**Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or non-terminating repeating decimal expansion:

**Solution:**

**Ex 1.4 Class 10 Maths Question 2.
**Write down the decimal expansions of those rational numbers in the question 1, which have terminating decimal expansions.

**Solution:**

**Ex 1.4 Class 10 Maths Question 3.
**The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational and of the form \(\frac { p }{ q }\), what can you say about the prime factors of q ?

**(i)**43. 123456789

**(ii)**0.120120012000120000…

**(iii)**43. \(\overline { 123456789 }\)

**Solution:**

**(i)**43.123456789

Here, the denominator is of the form 2

^{m}5

^{n}.

Hence, the number is a rational number, specifically a terminating decimal.

**(ii)**Since the given decimal number is nonterminating non-repeating, it is not rational

**(iii)**Since the given decimal number is nonterminating repeating, it is rational, but the denominator is not of the form 2

^{m}5

^{n}.

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