please give me all answer line wise
Answers
1.
i) If a is an integer, then a) |a| = a is always true.
ii) a) - 1/5 lies between - 1/4 and 1/4.
iii) - 7/8 - (- 3/5) = - 7/8 + 3/5
= (- 35 + 24)/40
= - 11/40 [ b) ]
iv) b) (a + b) + c ≠ a + (b + c) is false.
2.
1/2 = 0.5, 9/4 = 2.25
Four rational numbers between them are
0.6, 0.9, 1.2, 2.2
i.e., 3/5, 9/10, 6/5, 11/5
3.
(2/11 × -22/15) + (-1/6 × 3/4) + (-1/21 × -3/5)
= - 4/15 - 1/8 + 1/35
= (- 224 - 105 + 24)/840
= - 305/840
= - 61/168
4.
1 - (- 4/5 + 1/4)
= 1 - (- 16 + 5)/20
= 1 - (- 11/20)
= 1 + 11/20
= (20 + 11)/20
= 31/20
5.
9/5 × (- 8/11) + 1/5 × (- 8/11)
= (9/5 + 1/5) × (- 8/11)
= (9 + 1)/5 × (- 8/11)
= 10/5 × (- 8/11)
= 2 × (- 8/11)
= - 16/11
6.
The other rational number is
= product of the numbers ÷ one number
= (- 15/28) ÷ (- 18/7)
= 15/28 × 7/18
= 5/24
7.
Required value is
= {5/6 + (- 4/5)} / {5/6 × (- 4/5)}
= - (5/6 - 4/5) / (5/6 × 4/5)
= - {(25 - 24)/30} / (2/3)
= - 1/30 × 3/2
= - 1/20
8.
Ribbon left is of
= 6 3/4 - 2 5/12
= 27/4 - 29/12
= (81 - 29)/12
= 52/12
= 13/3 m length.
9.
Length of the rectangle is
= (118 4/5) / (6 3/5)
= (594/5) / (33/5)
= 18 m
10.
Number of students in the class is
= 6 / (1/6 × 3/5)
= 6 / (1/10)
= 60
11.
Two numbers are
- 2/3 = - 8/12 and 7/12
Five rational numbers between them are
- 7/12, - 6/12, - 5/12, - 4/12, - 3/12
12.
x = - 2/3, y = 1/4
Then (x + y) + (x - y)
= (- 2/3 + 1/4) + (- 2/3 - 1/4)
= (- 8 + 3)/12 + (- 8 - 3)/12
= - 11/12 - 11/12
= (- 11 - 11)/12
= - 22/12
13.
The required number is
= (3/7 × 2/5) - 4/35
= 6/35 - 4/35
= (6 - 4)/35
= 2/35
14.
Weight of 12 coins is
= 5 3/4 × 12
= 23/4 × 12
= 69 g
15.
Two numbers are - 1/2 and 1/2
= - 0.5 and 0.5
Required numbers are
- 0.4, - 0.3, 0.3, 0.4
i.e., - 2/5, - 3/10, 3/10, 2/5
In the conclusion answer, I believe to work to make a life. Being positive or negative is just part of our actions. That's all.