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### Which of the following are rational numbers?1) 5/-8 2) -6/11 7) 0/0 8) 1/0

Which of the following are rational numbers?1) 5/-8 2) -6/11 7) 0/0 8) 1/0

Which of the following are rational numbers?1) 5/-8 2) -6/11 7) 0/0 8) 1/0

### 1.010010001… Classify the following numbers as rational or irrational with justification ^{[1]}

1.010010001… Classify the following numbers as rational or irrational with justification. We know that the non terminating non recurring decimal expansion is an irrational number

✦ Try This: Classify the following numbers as rational or irrational with justification: 2.020020002…. We know that the non terminating non recurring decimal expansion is an irrational number

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1. NCERT Exemplar Class 9 Maths Exercise 1.2 Problem 4(x)

### Expert Maths Tutoring in the UK ^{[2]}

Classify the following numbers as rational or irrational:. i) 2 – √5 ii) (3 + √23) – √23 iii) 2√7 / 7√7 iv) 1/√2 v) 2π

Here 2 is a rational number and √5 is an irrational number. 3 = 3/1, which is in the form of p/q and hence a rational number.

= 0.702 is a non – terminating, non-recurring decimal which is irrational, and hence 1/√2 is an irrational number.. π is an irrational number whose value is non-terminating and non-recurring

### Which one of the following is a rational number[a] $\\sqrt{2}$[b] $\\sqrt{\\pi }$[c] $\\sqrt{7}$[d] $\\sqrt{\\dfrac{5}{25}}$[e] $\\sqrt{\\dfrac{64}{49}}$ ^{[3]}

Check option wise which of the numbers satisfy the definition and which don’t. Hence determine which of the numbers are rational numbers and which of the numbers are not.

Rational numbers have terminating or non-terminating but recurring decimal representation.. Property 1: If p is not a perfect square, then $\sqrt{p}$ is irrational.

We will use these two properties of rational numbers to determine which of the options are rational numbers and which are irrational numbers.. Since 2 is not a perfect square, we have $\sqrt{2}$ is not a rational number.

### which is a rational number a) root 5 b) pie c) 0 101001000100001 – Maths – Number Systems – 9127633 ^{[4]}

which is a rational number? a) root 5 b) pie c) 0.101001000100001…… We know rational number can be expressed as , Where q 0 or have decimal expansion terminating or non terminating but repeating .

We know that square root of prime number is always an irrational number.. That have non terminating and non repeating decimal expansion , So is also a irrational number .

have non terminating but repeating decimal expansion , So it is a rational number .. We know rational number can be expressed as , Where q 0 or have decimal expansion terminating or non terminating but repeating .

### Which of the following is a rational number ____. ^{[5]}

Solution:We are asked to check whether the given numbers are rational or not.. Here we see that the number 5 is not a perfect square.

We also know that the square root of a prime number is an irrational number.. So we can conclude that the number √5 is not a rational number.

So we can conclude that the number π is not a rational number.. We know that the condition that a rational number can have either finite digits after the decimal point or there will be repeating digits after the decimal point.

### Which of the following is a rational number.[a] $\\sqrt{5}$[b] $\\pi $[c] $0.101001000100001\\ldots $[d] $0.853853853\\ldots $ ^{[6]}

Hint: Use the fact that every rational number can be expressed in the form of $\dfrac{p}{q}$, where p and q are integers, and q is non-zero. Use the fact that rational numbers have terminating decimal representation or have non-terminating recurring decimal representation.

Rational numbers have terminating, or non-terminating recurring decimal representations whereas irrational numbers have non-terminating and non-recurring decimal representations. If p is not a perfect square, then $\sqrt{p}$ is irrational.

Since $\pi =3.141592653\ldots $ has non-terminating, non-recurring decimal representation, we have $\pi $ is not rational.. Since 0.101001000100001… has non-terminating non-recurring decimal representation, it is not rational.

### [Solved] Which of the following is a rational number: ^{[7]}

A rational number is represented in p/q form where q ≠ 0. Any fraction with non-zero denominators is a rational number.

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### Which of the following rational numbers is positive? (a) -8/7 (b) 19/-13 (c) -3/-4 (d) -21/13 ^{[8]}

Which of the following rational numbers is positive?. We have to find the rational number which is positive

✦ Try This: Which of the following rational numbers is positive? (a) -8/7, (b) 9/-11, (c) 3/-4, (d) -21/-13. We have to find the rational number which is positive

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9. Which of the following rational numbers is positive? (a) -8/7, (b) 19/-13, (c) -3/-4, (d) -21/13

### Without Actual Division, find which of the following rational numbers are terminating decimals ^{[9]}

Below, without using the long division methods, we can find out which of the following rational numbers are terminating decimals.. Consequently, the denominator only has the factors 2 or 5.

Consequently, the denominator only has the factors 2 or 5.. Consequently, the denominator only has the factors 2 or 5.

A decimal that has an end digit is known as the terminating decimal. This means that only a decimal with a finite number at the end is the terminating decimal

### CHECK YOUR PROGRESS 1.4 1. Find a rational number between the following r.. ^{[10]}

Find a rational number between the following rational numbers: (i) and (ii) 5 and 6 (iii) and 2. Find two rational numbers between the following rational numbers: (i) and (ii) and 3

Learn from their 1-to-1 discussion with Filo tutors.. Prove that the diagonals of a trapezium divide each other proportionally.

The following table gives the distribution of the life time of neon lamps: Find the median life time of a lamp.. The ratio of its 6th term to its 13th term is 1 : 2

### Rational Numbers Class 8 Extra Questions Maths Chapter 1 ^{[11]}

If you are looking for Extra questions for class 8 maths Rational Numbers, You have reached the correct page. You can also use these extra questions like Rational numbers class 8 worksheets with answers.

Extra Questions for Class 8 Maths Chapter 1 Rational Numbers. Rational Numbers Class 8 Extra Questions Very Short Answer Type

\(\frac { 6 }{ 7 }\), \(\frac { -1 }{ 2 }\), 0, \(\frac { 1 }{ 0 }\), \(\frac { 100 }{ 0 }\). Since rational numbers are in the form of \(\frac { a }{ b }\) where b ≠ 0.

### p-adic number ^{[12]}

In number theory, given a prime number p, the p-adic numbers form an extension of the rational numbers which is distinct from the real numbers, though with some similar properties; p-adic numbers can be written in a form similar to (possibly infinite) decimals, but with digits based on a prime number p rather than ten, and extending (possibly infinitely) to the left rather than to the right. Formally, given a prime number p, a p-adic number can be defined as a series

In general the series that represents a p-adic number is not convergent in the usual sense, but it is convergent for the p-adic absolute value where k is the least integer i such that (if all are zero, one has the zero p-adic number, which has 0 as its p-adic absolute value).. Every rational number can be uniquely expressed as the sum of a series as above, with respect to the p-adic absolute value

p-adic numbers were first described by Kurt Hensel in 1897,[1] though, with hindsight, some of Ernst Kummer’s earlier work can be interpreted as implicitly using p-adic numbers.[note 1]. Roughly speaking, modular arithmetic modulo a positive integer n consists of “approximating” every integer by the remainder of its division by n, called its residue modulo n

### Chapter 2 from Textbook Mathematics Part 1 Solutions for Class 9 MATHS ^{[13]}

Mathematics Part i Solutions Solutions for Class 9 Maths Chapter 2 Real Numbers are provided here with simple step-by-step explanations. These solutions for Real Numbers are extremely popular among class 9 students for Maths Real Numbers Solutions come handy for quickly completing your homework and preparing for exams

You will also love the ad-free experience on Meritnation’s Mathematics Part i Solutions Solutions. All Mathematics Part i Solutions Solutions for class 9 Maths are prepared by experts and are 100% accurate.

The denominator is in the form of , where m and n are non-negative integers.. The denominator is not in the form of , where m and n are non-negative integers.

### Samacheer Kalvi 8th Maths Guide Chapter 1 Numbers Ex 1.1 ^{[14]}

Tamilnadu State Board New Syllabus Samacheer Kalvi 8th Maths Guide Pdf Chapter 1 Numbers Ex 1.1 Textbook Questions and Answers, Notes.. Tamilnadu Samacheer Kalvi 8th Maths Solutions Chapter 1 Numbers Ex 1.1

(ii) The decimal form of the rational number \(\frac{15}{-4}\) is _________ .. (iii) The rational numbers \(\frac{-8}{3}\) and \(\frac{8}{3}\) are equidistant from _________.

(v) The standard form of \(\frac{58}{-78}\) is _________.. (ii) \(\frac{-4}{5}\) lies to the left of \(\frac{-3}{4}\).

### Sources

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