Students can Download Maths Chapter 1 Rational Numbers Intext Questions and Answers, Notes Pdf, Samacheer Kalvi 8th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.
Samacheer Kalvi 8th Maths Solutions Term 1 Chapter 1 Rational Numbers Intext Questions

Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 1 Chapter 1 Rational Numbers Intext Questions

Exercise 1.1
Try This (Textbook Page No. 6)
Question 1.
Is the number \(\frac{7}{-5}\) a fraction or a rational number ? Why?
Solution:
\(\frac{7}{-5}\) is a rational number
Because of rational number is a rational number which is of the form \(\frac{p}{q}\) , q ≠ 0 and p and q are integers.
But fraction is part of a whole.

Question 2.
Write any 6 rational numbers of your choice.
Solution:
0, \(\frac{-1}{2}\), \(\frac{1}{2}\), \(\frac{3}{4}\), \(\frac{6}{7}\), -5, 6

Try This (Textbook Page No. 7)

Question 1.
Explain why the following statements are true?
(i) 0.8 = \(\frac{4}{5}\)
(ii) 1.4 > \(\frac{1}{4}\)
(iii) 0.74 < \(\frac{3}{4}\) (iv) 0.4 > 0.386
(v) 0.096 < 0.24
(vi) 1.128 = 0.1280
Solution:
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 1
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 2
(vi) 0.128 = \(\frac{128}{1000}=\frac{1280}{10000}\)
0.1280 = \(\frac{1280}{10000}\)
∴ Both are equal. i.e., 0.128 = 0.1280

Samacheer Kalvi 8th Maths Solutions Term 1 Chapter 1 Rational Numbers Intext Questions

Try This (Textbook Page No. 9)

Question 1.
Which of the pairs are equivalent rational numbers?
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 3
Solution:
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 4

Question 2.
Find the standard form of
(i) \(\frac{36}{-96}\)
(ii) \(\frac{-56}{-72}\)
(iii) \(\frac{27}{18}\)
Solution:
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 5
Samacheer Kalvi 8th Maths Solutions Term 1 Chapter 1 Rational Numbers Intext Questions

Question 3.
Mark the following rational numbers on a number line.
(i) \(\frac{-2}{3}\)
(ii) \(\frac{-8}{-5}\)
(iii) \(\frac{5}{-4}\)
Solution:
(i) \(\frac{-2}{3}\) lies between 0 and -1.
The unit part between 0 and -1 is divided into 3 equal parts and second part is taken.
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 6

(ii) \(\frac{-8}{-5}=1 \frac{3}{5}\)
\(1 \frac{3}{5}\) lies between 1 and 2. The unit part between 1 and 2 is divided into 5 equal parts and the third part is taken.
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 7

(iii) \(\frac{5}{-4}=-\frac{5}{4}=-1 \frac{1}{4}\)
\(-1 \frac{1}{4}\) lies between -1 and The unit part between -1 and -2 is divided into four equal parts and the first part is taken.
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 8

Try This (Textbook Page No. 15)

Question 1.
Are there any rational numbers between \(\frac{-7}{11}\) and \(\frac{6}{-11}\) ?
Solution:
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 9

Try This (Textbook Page No. 19)

Question 1.
Divide: (i) 5 by \(\frac{-7}{3}\)
(ii) \(\frac{-7}{3}\) by 5
Solution:
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 10

Exercise 1.2
Try This (Textbook Page No. 25)

Question 1.
The closure property on integers holds for subtraction and not for division. What about rational numbers? Verify.
Solution:
Let 0 and \(\frac{1}{2}\) be two rational numbers 0 – \(\frac{1}{2}\) = \(\frac{1}{2}\) is a rational number
∴ Closure property for subtraction holds for rational numbers.
But consider the two rational number \(\frac{5}{2}\) and 0.
\(\frac{5}{2} \div 0=\frac{5}{2 \times 0}=\frac{5}{0}\)
Here denominator = 0 and it is not a rational number.
∴ Closure property is not true for division of rational numbers.

Samacheer Kalvi 8th Maths Solutions Term 1 Chapter 1 Rational Numbers Intext Questions

Question 2.
Check whether \(\frac{3}{5}-\frac{7}{8}=\frac{7}{8}-\frac{3}{5}\)
Solution:
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 11
∴ Subtraction of rational numbers is not commutative

Question 3.
Is \(\frac{3}{5} \div \frac{7}{8}=\frac{7}{8} \div \frac{5}{3}\)? So, what do you conclude?
Solution:
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 12
∴ Commutative property not hold good for division of rational numbers.

Try This (Textbook Page No. 26)

Question 1.
Check whether the associative property holds for subtraction and division.
Solution:
Consider the rational numbers \(\frac{2}{3}\), \(\frac{1}{2}\) and \(\frac{3}{4}\)
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 13
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 14
∴ Associative property does not hold for division of rational numbers

Samacheer Kalvi 8th Maths Solutions Term 1 Chapter 1 Rational Numbers Intext Questions

Question 2.
Observe that
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 15
Use your reasoning skills, to find the sum of the first 7 numbers in the pattern given above.
Solution:
Samacheer Kalvi 8th Maths Term 1 Chapter 1 Rational Numbers Intext Questions 16

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