Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form. ` 23/((2^(3) xx 5^(2))` (ii) ` 24/125` (iii) ` 171/800` (iv) `15/1600` (v) ` 17/320` (vi)` 19/3125`

Without actual division, show that each of the following rational numb

1.	Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form. ` 23/((2^(3) xx 5^(2))` (ii) ` 24/125` (iii) ` 171/800` (iv) `15/1600` (v) ` 17/320` (vi)` 19/3125`
Answer» Correct Answer - (i) 0.115 (ii) 0.192 (iii) 0.21375 (iv) 0.009375 (v) 0.053125 (vi) 0.00608 `(i)23/((2^(3)xx5^(2)))=(23xx5)/((2^(3)xx5^(3)))=115/((10)^(3))= 115/1000= 0.115` `(ii) 24/124 = 24/(5^(3))xx 2^(3)/2^(3) = (24xx8)/((5xx2)^(3))= 192/((10)^(3))= 192/1000= 0.192` (iii) ` 171/800 = 171/16 xx1/100 = 21.375/100 = 0.21375` `(iv) 15/1600 = 15/16xx1/100 = (0.9375)/100 = 0.009375` `(v) 17/320 = ( 17xx5)/(320xx5) = 85/16 xx1/100 = (5.3125)/100 = 0.053125` `(vi) 19/3125 = (19xx8)/(3125xx8) = 152/25000 = 152/25 xx 1/1000 = 6.08/1000 = 0.00608`