GSEB Solutions Class 8 Maths Chapter 1 Rational Numbers InText Questions

Gujarat Board GSEB Textbook Solutions Class 8 Maths Chapter 1 Rational Numbers InText Questions and Answers.

Gujarat Board Textbook Solutions Class 8 Maths Chapter 1 Rational Numbers InText Questions

Try These (Page 4)

Question 1.
Fill in the blanks in the following table:
Solution:
Using the closure property over addition, subtraction, multiplication and division for rational numbers, integers, whole-numbers and natural numbers, we have:

Try these (page 6)

Question 1.
Complete the following table:
Solution:

Try these (page 9)

Question 1.
Complete the following table:
Solution:

Try these (page 11)

Question 1.
If a property holds for rational numbers, will it also hold for integers? For whole numbers? Which will? Which will not?
Solution:

1. Any property which is true for rational numbers, is also true for integers except for any integers ‘a’ and ‘b’, (a + b) is not necessarily an integer.
2. All properties which are true for rational numbers, are also true for whole numbers except:
   • For ‘a’ and ‘b’ being whole numbers, (a – b) may not be a whole number.
   • For ‘a’ and ‘b’ being whole numbers (b ≠ 0), a + b may not be a whole number.

Try these (page 13)

Question 1.
Find using distributivity?
(i) \(\left\{\frac{7}{5} \times\left(\frac{-3}{12}\right)\right\}+\left\{\frac{7}{5} \times \frac{5}{12}\right\}\)

(ii) \(\left\{\frac{9}{16} \times \frac{4}{12}\right\}+\left\{\frac{9}{16} \times \frac{-3}{9}\right\}\)

Solution:

Try these (page 17)

Question 1.
Write the rational number for each point labelled with a letter?

Solution:
(i) Here, the rational number for the point A is \(\frac{1}{5}\)
The rational number for the point B is \(\frac{4}{5}\). The rational number for the point C is \(\frac{5}{5}\) or 1.
The rational number for the point D is \(\frac{8}{5}\). The rational number for the point E is \(\frac{9}{5}\).

(ii) The rational number for:
The point F is \(\frac{-2}{6}\) or –\(\frac{1}{3}\). The point G is \(\frac{-5}{6}\). The point H is \(\frac{-7}{6}\)
The point I is \(\frac{-8}{6}\) 0r \(\frac{-4}{3}\). The point J is \(\frac{-11}{6}\).