Question

Express the following rational numbers as decimals numbersI. i) 242/1000 ii) 354/500 iii) 2/5 iv) 115/4II. i) 2/3 ii) -25/36 iii) 22/7 iv) 11/9

Answer 1

I) 0.242
ii) 0.708
iii) 0.4
iv) 0.279

I)0.666
ii) -0.694
iii) 3.142
iv) 1.222

Answer 2

1)i)
242/1000=0.242

ii)
354/500=354/(2^2×5^3)
=354/(2^2×5^3)×2/2
=708/(2^3×10^3)
=708/1000
=0.708

iii)
2/5=2/5×2/2
=4/10
=0.4

iv)
115/4=115/2^2
=115/2^2×5^2/5^2
=2875/(2^2×5^2)
=2875/10^2
=2875/100
=28.75

2)i)
2/3=0.6666666666666...........................

ii)
-25/36=-0.69444444444.......................

iii)
22/7=3.1428571428571428571...............

iv)
11/9=1.222222222222...................