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## 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:

(vi) 0.128 = $$\frac{128}{1000}=\frac{1280}{10000}$$
0.1280 = $$\frac{1280}{10000}$$
∴ Both are equal. i.e., 0.128 = 0.1280

Try This (Textbook Page No. 9)

Question 1.
Which of the pairs are equivalent rational numbers?

Solution:

Question 2.
Find the standard form of
(i) $$\frac{36}{-96}$$
(ii) $$\frac{-56}{-72}$$
(iii) $$\frac{27}{18}$$
Solution:

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.

(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.

(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.

Try This (Textbook Page No. 15)

Question 1.
Are there any rational numbers between $$\frac{-7}{11}$$ and $$\frac{6}{-11}$$ ?
Solution:

Try This (Textbook Page No. 19)

Question 1.
Divide: (i) 5 by $$\frac{-7}{3}$$
(ii) $$\frac{-7}{3}$$ by 5
Solution:

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.

Question 2.
Check whether $$\frac{3}{5}-\frac{7}{8}=\frac{7}{8}-\frac{3}{5}$$
Solution:

∴ 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:

∴ 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 $$\frac{3}{4}$$

∴ Associative property does not hold for division of rational numbers

Question 2.
Observe that

Use your reasoning skills, to find the sum of the first 7 numbers in the pattern given above.
Solution: