Final answer:
To perform the division operation and report the result with the proper number of significant figures in standard powers-of-10 notation, divide 147.02 by 0.338 and round the result to three significant figures as 4.35 × 10².
Step-by-step explanation:
To perform the operation of 147.02 / 0.338 and report the result with the proper number of significant figures in standard powers-of-10 notation, follow these steps:
- Divide 147.02 by 0.338: 147.02 / 0.338 = 434.976331
- Identify the number with the fewest significant figures, which is 0.338 with three significant figures.
- Round the result to the same number of significant figures as the number with the fewest significant figures. In this case, round it to three significant figures: 434.976331 rounds to 435.
- Express the final result in standard powers-of-10 notation: 435 = 4.35 × 10²