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:
- 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.
- 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}.