Page 64 - Maths Skills - 7

62 Maths

2. Are the following rational numbers positive or negative?

−4 −5000 −3 3
(i) (ii) (iii) (iv)
5 −11000 −21 − 7
3. Fill in the boxes.

3 21 5 35
(i) − 11 = = − 99 (ii) 13 = = 182

4. Write each of the following rational numbers with a positive denominator.

−147 8 −13 39
(i) (ii) (iii) (iv)
−189 − 21 −27 − 59
5. Write each of the following rational numbers with a positive numerator.

−8 −18 −47 −47
(i) (ii) (iii) (iv)
13 −29 −35 38

6. Express –3 as a rational number with denominator:
7
(i) – 35 (ii) 70 (iii) 63 (iv) – 21

7. Express 8 as a rational number with numerator:
–13
(i) 16 (ii) – 24 (iii) 40 (iv) – 64

8. Express –72 as a rational number with denominator:
360

(i) – 10 (ii) – 40 (iii) – 20 (iv) 60

9. Express 420 as a rational number with numerator:
–720
(i) – 105 (ii) – 35 (iii) 70 (iv) – 28

10. Write the following rational numbers in standard form.
39 38 −24 8
(i) (ii) (iii) (iv)
− 78 − 56 −72 32

11. Check if the following pairs of rational numbers are equivalent.
−8 −5 5 21 − −3 6 −4 −6
(i) , (ii) , (iii) , (iv) ,
−13 16 − 7 − 15 8 16 −12 −18

12. Find x such that:
−21 x −49 x 13 26
(i) = (ii) =− 7 (iii) =− 5 (iv) =
8 16 x 112 − 17 x

REPRESENTATION OF RATIONAL NUMBERS ON THE NUMBER LINE
We know how to represent integers on a number line. Representation of rational numbers on a number line is quite
similar to the representation of integers.