0.00048 ÷ (6 × 10-4) should be rewritten as 0.00048 ÷ (6 × 10^(-4) ). The symbol " ^ " denotes exponentiation. Without parentheses here, it appears that you want to subtract 4 from 10, which is inappropriate.
First focus on the " (6 × 10^(-4) )" This is equivalent to 6 / (10^4). To divide 0.00048 by 6 / (10^4), invert the divisor and then multiply:
For a 95% confidence interval, the corresponding z-score is 1.96. Therefore the deviation will by 1.96*0.5 lbs = 0.98 lbs. Therefore, the confidence interval will be (5 - 0.98, 5 + 0.98), which is (4.02, 5.98). The weight range is from 4.02 lbs to 5.98 lbs.