Question

EXERCISE 1C
1. Without actual division, show that each of the following rational
numbers is a terminating decimal. Express each in decimal form.
23
171
15
(i)
)
(iii)
125
(2² x 5²)
(iv)
800
1600
(ii) 24
17
19
(v) 320
(vi) 3125​

Answer 1

Answer:

(i) 0.115 (ii) 0.192 (iii) 0.21375 (iv) 0.009375 (v) 0.053125 (vi) 0.00608

Step-by-step explanation:

i)23(23×52)=23×5(23×53)=115(10)3=1151000=0.115

(ii)24124=2453×2323=24×8(5×2)3=192(10)3=1921000=0.192

(iii) 171800=17116×1100=21.375100=0.21375

(iv)151600=1516×1100=0.9375100=0.009375

(v)17320=17×5320×5=8516×1100=5.3125100=0.053125

(vi)193125=19×83125×8=15225000=15225×11000=6.081000