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} timesleft(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}).